What is the range of the function graphed below?


What Is The Range Of The Function Graphed Below?

Answers

Answer 1

Answer:

Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]

Step-by-step explanation:

Range of a Function

Given a real function f(x), the Range of f is the set of all the values the function can take when x varies within the domain of f.

If we have the graph of the function, a practical rule can be used to find the Range. Imagine a horizontal rule moving from minus infinity to plus infinity. If that rule touches the graph of the function, the vertical height or y-value belongs to the range.

Consider the function provided in the image. If our horizontal rule comes from minus infinity, it won't touch the graph until it reaches the value y=-4. Note the endpoint has a filled dot, meaning the point belongs to the function. The range starts from -4.

Going up in values of y, we touch the function until y=0. But that endpoint is marked with an empty dot, so that point does not belong to the function.

The first interval of the range is [-4,0)

Moving up the rule, we touch the function again when y=2 (included) and we note the function continues to go up to plus infinity (signaled with the arrow). Thus, the second interval is [2,+∞).

The range of f is the union of both intervals:

Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]

Answer 2

Answer:

B

Step-by-step explanation:


Related Questions

Write an expression for: The sum of 5 times a number and twice a number is 42.

Answers

Answer:

42

Step-by-step explanation:

5x5=40  ---->  40+2=42

e^2x+2x-1=0
Solve the equation ​

Answers

Answer

x=0

Step-by-step explanation:

Rewrite the question -2x+1=u and x= -u-1/2

Simplify

Rewrite 1=e^(u-1)u in Lambert Form e^(u)u

Solve u=1

Substitute back u= -2x+1, solve for x

x=0

:)I Hope you enjoy this:)

Jeans are on sale for $16 per pair. How much will 4 pairs of jeans cost?

Answers

Answer:

4 pairs cost $64

Step-by-step explanation:

16*4=64$

can somebody help me pleaseee ?? it’s due soon & im stuck .

Answers

Answer:

a. lenqth=32 , width=2

b. m∠p=100  m∠Q=50  m∠R=30

c. XY=20  YZ=12

d.m∠1=90    m∠2=90

Step-by-step explanation:

a. the area of a rectangle is length×width so to find the possible sizes for L and W we need to list the factors (multiplication of two numbers to get 64) of 64, which are,

1  AND  64   (this answer is suitable but it's better to choose another

one if available for more accuracy)

2  AND  32  (this is a good answer to use)

4  AND 16   (this one already used in the question)

8   AND  8   (this answer will be wrong as the sizes need to be different because it's a rectangle but it will be good for square)

SO we will choose 2 AND 32 for the answer and we can put them in any order we want.

b. first of all acute angles are angles measured less than 90 degrees. so to have at least one angle not acute we use measures up to 90 degrees.

I will put one answer as 100 degrees (note you can use any number above 90 to not be an acute angle) and the other answers will be two numbers add up to be 80 degrees (and again you can choose any numbers for that).

c. the two answers should add up to be 32 so for this counterexample we can choose any two numbers to have the sum of 32 (remember that 16+16 already chosen in the question.

d. two supplementary angles are two angles add up to be 180 degrees so for this question we need to find two angles sum to 180 and not obtuse (that mean 90 degrees or less) and the only answer can appear is 90+90=180.  

A shark is swimming 70 feet below the
surface of the ocean. It dives down 9 more
feet to catch a fish. What is the shark's
location relative to the surface of the water?
Write the expression for this situation. Then
solve.

Answers

Answer:

He is 79 ft below the surface

Step-by-step explanation:

Answer:

79 feet below

Step-by-step explanation:

-70-9=-79

Solve for x . x^2+6x+6=0

Answers

Answer:

[tex]\boxed {x = \sqrt{3} - 3}[/tex]

[tex]\boxed {x = -\sqrt{3} - 3}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x^2 + 6x + 6 = 0[/tex]

-When you use the quadratic formula ( [tex]\frac{-b\pm \sqrt{b^{2} - 4ac}}{2a}[/tex] ), it would give you two solutions. So, use the quadratic formula:

[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]

-Simplify [tex]6[/tex] by the exponent [tex]2[/tex]:

[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]

[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]

-Multiply both [tex]-4[/tex] and [tex]6[/tex]:

[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]

[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]

-Add [tex]34[/tex] and [tex]-24[/tex]:

[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]

[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]

-Take the square root of [tex]12[/tex]:

[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]

[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]

-Now solve the equation when [tex]\pm[/tex] is plus, So, add [tex]-6[/tex] to [tex]2\sqrt{3}[/tex]:

[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]

[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]

-Divide  [tex]-6 + 2\sqrt{3}[/tex] both sides by [tex]2[/tex]:

[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]

[tex]\boxed {x = \sqrt{3} - 3}[/tex] (Answer 1)

-Now solve the equation when [tex]\pm[/tex] is minus. So, Subtract [tex]2\sqrt{3}[/tex] from [tex]-6[/tex]:

[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]

-Divide [tex]-2\sqrt{3} - 6[/tex] by [tex]2[/tex]:

[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]

[tex]\boxed {x = -\sqrt{3} - 3}[/tex] (Answer 2)

15 POINTS!!!HELP!! JUST TELL ME THE FORMULA I NEED TO USE !!!

Answers

Answer: No.

Step-by-step explanation: It's obviously a quiz of some sort. If it's not, then why would it be timed? Please don't do this :(

Janessa,has 18$. She buys a ticket to a movie and a smoothie. How much money dose she have left? Ticket: $8.75
Celery Sticks: $3.75
Smoothie: $2.85
What do you need to find before you can solve the​ problem?
A. The total amount of money Janessa has in her bank account.
B. The cost of a smoothie
C.The total amount of money Janessa had spent
D. The total amount of money Janessa has left.

Answers

Answer:

B. The cost of a smoothie

Step-by-step explanation:

The answer to the problem: 8.75 + 2.85 = $11.60

But to solve the problem you have to know the price of a smoothie.

I will mark as brainly please hurry!

Nicholas started a canned-food drive at school. The equation representing this is y = 235x + 15, where x is the number of days, and y is the number of cans collected. Explain how to determine how many days it would take to collect 2600 cans.

Answers

Answer:

just divide and add x and y

Step-by-step explanation:

Answer:

11 days

Step-by-step explanation:

2600 = 235x+15

-    1 5            - 15

2585           235x

/235             /235

11       = x

What is the value of cos(15°)?

Answers

Answer:

The answer is C. [tex]\frac{\sqrt{6} + \sqrt{2} }{4}[/tex]

Step-by-step explanation:

The value of cos(15°) is (√(6) + √(2))/4.

The correct option is C.

What is half-angle formula?

The half-angle formula is a trigonometric identity that relates the trigonometric functions of half of an angle to the trigonometric functions of the original angle.

Using half-angle formula for cosine

cos(x/2) = √((1 + cos(x))/2)

In this case, x = 30°, so we have:

cos(15°/2) = √((1 + cos(30°))/2)

cos(15°/2) = √((1 + √(3)/2)/2)

Now, rationalize the denominator:

cos(15°/2) = √((2 + √(3))/4)

cos(15°/2) = √((1/2 + √(3)/4))

Finally, we factor the numerator by multiplying it by (√(2) + √(6))/(√(2) + √(6)):

cos(15°/2) = (√(2) + √(6))/(2√(2))

cos(15°) = (√(2) + sqrt(6))/(2√(2))

By rationalizing the denominator further, we get:

cos(15°) = (√(2) + √(6))/(2√(2))  (√(2)/sqrt(2))

cos(15°) = (√(2)√(2) + √(6)√(2))/(2√(2)√(2))

cos(15°) = (2 + √(12))/(2 x 2)

cos(15°) = (2 + 2√(3))/(4)

cos(15°) = (√(6) + √(2))/4

Therefore, the value of cos(15°) is (√(6) + √(2))/4.

Learn more about Half angle Formula here:

https://brainly.com/question/30400810

#SPJ2

If B = 3x^2-x+3and A=x-6, find an expression that equals 2B+3A in standard form?

Answers

Answer:

[tex]6x^{2} +x-12[/tex]

Step-by-step explanation:

All you need to do is multiply equation B by 2 and multiply equation A by 3, then put an addition sign between them and combine like terms after you've distributed what you needed for each one.

700 decreased by 62% is?

Answers

Answer:

The answer I got was 266

Step-by-step explanation:

700 - 62% = 266

62% = 434

700 - 434 (62%) = 266

disregard question..............................................................................................................................

Answers

Answer:

whats the question.

Step-by-step explanation:

let me know

Employees at a medical supply company are mixing saline solution for use in IVs. They start with 50 liters of 12% solution. To this, they plan to add 10% solution. How many liters of the 10% solution should they add in order to obtain a finished product that is 11% saline?

Answers

Answer:

50 liters of the 10% solution should be added

Step-by-step explanation:

Here, we want to calculate the number of liters of the 10% solution that should be added

Let the number of 10% solution to be added be x liters

So total liters is now x + 50

Thus;

50 liters of 12% + x liters of 10% = (x + 50) liters of 11 %

Hence

12/100 * 50 + 10/100 * x = 11/100 * (x + 50)

0.12(50) + 0.1(x) = 0.11(x + 50)

6 + 0.1x = 0.11x + 5.5

6 - 5.5 = 0.11x - 0.1x

0.5 = 0.01x

x = 0.5/0.01

x = 50

WILL MARK BRAINLIST!!!!

DBA Study Guide –
2.01 ESSENTIAL QUESTIONS
• What are the Transformations and how do they move?
• How can you tell the difference between the preimage and the transformed image by looking at the figures on a graph?

• 2.03 ESSENTIAL QUESTIONS
• What are the names of the Theorems that we use to prove triangles congruent?
• What does it mean for two shapes to be congruent?
2.04 ESSENTIAL QUESTIONS
How do you prove each of the following theorems using either a two-column, paragraph, or flow chart proof:
• Isosceles Triangle Theorem
2.06 ESSENTIAL QUESTIONS
• What are the characteristics of squares, rhombi, kites, and trapezoids?

Answers

Answer: These are some of the questions not all of them

There are four types of transformations: reflection, rotation, translation and enlargement. Translation (also known as Slide) moves a shape by sliding it up, down, sideways or diagonally, without turning it or making it bigger or smaller. Reflection (also known as Flip) in a line produces a mirror image in which corresponding points on the original shape and the mirror image are always the same distance from the mirror line. Rotation (also known as Turn) turns a shape through a clockwise or anti-clockwise angle about a fixed point known as the Centre of Rotation. All lines in the shape rotate through the same angle. Rotation, (just like reflection) changes the orientation and position of the shape, but everything else stays the same. Enlargement (also known as Dilation) is a transformation. However, it is different from reflection, rotation and translation because it changes the size of an object. Transformations which leave the dimensions of the object and its image unchanged are called isometric transformations. Examples of isometrics are reflection, rotation and translation. Transformations which do alter the dimension of the object when they act on them are called non-isometric transformation Examples are the enlargement. The image of a transformation is the shape after the transformation. The preimage of a transformation is the shape before the transformation. If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent. n geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

What’s 4 divided by 3.3

Answers

Answer:

it is 1.21repeated hope this helps

Ade is baking mini-loaves of bread. How many mini-loaves could he make with 10 cups of flour?

Cups of Flour Mini-Loaves
2 5
3 7.5
4 10
10 □

Answers

He can make 5 mini loaves

Select the parent function and its graph.

Answers

Answer:

The first one

Step-by-step explanation:

Answer:

first function, second graph

Step-by-step explanation:

got it right in plato :DDD

Is (5, 9) a solution to the system of inequalities?



x + y > 12





2x - y < 4

Answers

I think it is.

I’m not sure.

Answer:

yes (5,9) is a solution to the system of inequalities

Step-by-step explanation:

5+9= 14

14>12 - this statement ends up being true

2(5)-9

10-9=1

1<4- this statement also ends up being true

Give the place of the digit 1 in 296,518.4
296,518,417

Answers

Answer:

296,518.4 the one is in the tenths place sunce it's after the decimal

296,518,417 the first 1 in 518 is in the tenths place but the 2nd .. 1 is in the tens place bc no decimal

Function h(x) = x + 4
If your input was 2, what is your output?

Answers

Answer:

h(2)=6

Step-by-step explanation:

just plug in 2 where you have an x, and you’d have 2 + 6, which equals 6

Part A: A keypad lock asks you to input a four-digit code. If you can choose any digit, 0 through 9, for each of the four digits, how many possible combinations are there? Part B: Suppose the similar keypad lock asks for a four-digit code but does not allow you to repeat a digit. How many possible combinations are there for this lock?

Answers

Answer:

A. 10,000 combinations

B. 5,040 combinations

Step-by-step explanation:

A. four-digit code from 0-9 without restriction

1st digit - 10 options

2nd digit - 10 options

3rd digit - 10 options

4th digit - 10 options

Number of possible options = 10 * 10 * 10 * 10 = 10^4 = 10,000 combinations

b. No repetition of digits

1st digit = 10 options

2nd digit = 9 options

3rd digit = 8 options

4th digit = 7 options

Number of possible choices = 10 * 9 * 8 * 7 = 5,040 combinations

Find the value of 10 to the 4th power.

Answers

Answer: 10,000

Step-by-step explanation: 10x10x10x10=10,000.

Answer:

10000

Step-by-step explanation:

Solve the following inequality: 2x^2 + x - 1/x^2-x<1​

Answers

Answer:

−1<x<0 or 0<x<1

Step-by-step explanation:

Answer:

I believe it is : -1 < x < 0 OR 0 < x < 1

Or if you want it in interval notation form:

(-1, 0) ∪ (0, 1)

Step-by-step explanation:

hope this helps, lol! <3

There were 65 students in the chess club this year. The very next year the chess club increased its members by 20%. How many more students joined the club?answer are A,65.B,20,C13.D78.

Answers

Answer:

d.

Step-by-step explanation:

Because it increased and it also went up by 20%

I can't figure this out, help-

Answers

-2(7-y)+4= -4

-14+2y =-4-4

-14 + 2y = -8

2y = -8+14

y = 6/2

y = 3

Only thing I can think of is first crossing out +4 and -4, and end up with x = 7, but what the heck

i will give u brainliest

Answers

Answer:

X = 125 degress

Step-by-step explanation:

Because this is in a straight line, and we know that a straight line is 180 degress..

So 55 + X should equal 180 degress.

Which means we subtract 180 and 55 = 125 degress.

To check add 125 + 55, it should give you the answer 180 degress :)

Hope this helped :)


Factor [tex] {9}^{2} - 400[/tex]

Answers

It would be -319 no factors
-319 because there is no factor

The Flynns’ monthly budget allowed them to spend $555 for household expenses. During June and July they had a room in their home remodeled and spent a total of $2,035 for household expenses. By how much did they overspend?
Group of answer choices

$925

$897

$675

$1,200

Answers

ik give u the answer hold up u gotta do the work then ik get back tk you i na mintue
I think is 675 but not sure could be 1200

6 times a number is 27 less than the square of that number. Find the positive solution

Answers

Answer:

6n = 27 - n^2

n = 3

Step-by-step explanation:

This is the answer because:

1) Solve for  n  by simplifying both sides of the equation, then isolating the variable.

Hope this helps!

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