Unit 5 Quiz

Last updated almost 3 years ago

18 questions

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2

1

3

2

1

2

1

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Library

Unit 5 Quiz

Last updated almost 3 years ago

18 questions

1

Graph:

2

1

3

2

Draggable item		Corresponding Item

1

Write the domain of the graph below.

1

Find the inverse of the function below.

Write your answer using f^{-1}\left(x\right)

1

Find the inverse of the function below

Write your answer using f^{-1}\left(x\right)

2

The function d(t)=16t^2 gives the distance d in feet that a dropped object falls in t seconds. Write the inverse function t(d) to find the time t in seconds it takes for an object to fall a distance of d feet.

Write your answer using t(d)=

1

Use your answer for #10 to estimate how long it will take a penny dropped into a well to fall 48 feet.

Round to the nearest tenth.

2

Gemma's swimming pool is only filled with 1,840 gallons of water, so she turns on the hose, which can fill the pool at 17 gallons per minute. The number of gallons (G) in the pool is given by the function below, where m is the time in minutes that the hose has been on.

Write the inverse function so that it is written as minutes as a function of gallons.

Type m=

1

Use your answer from #12 to answer...
How long will it take for Gemma to fill her 10,000 gallon swimming pool until it is full?

1

The shoulder height h (in centimeters) of an elephant is modeled by the function below where t is the age of the elephant in years.

Find the height of an elephant who is 50 years old. Round to the nearest tenth.

1

Graph:

Graph:

After you graph, select the correct domain and range.

Domain: [0,\infty)
Range: [4,\infty)

Domain: \left(-\infty ,\infty \right)
Range: \left(-\infty ,\infty \right)

Which equation matches the graph?

What stays the same between the graphs of these two functions?

domain 

vertex point location 

range

The function below is transformed from the parent function. Select all of the transformations that apply.

Drag the letters to match each graph to its correct function. Click on the picture to zoom in.

Draggable item		Corresponding Item
B		3
C		4
D		1
A		2

Write the domain of the graph below.

Find the inverse of the function below.

Write your answer using f^{-1}\left(x\right)

Find the inverse of the function below

Write your answer using f^{-1}\left(x\right)

The function d(t)=16t^2 gives the distance d in feet that a dropped object falls in t seconds. Write the inverse function t(d) to find the time t in seconds it takes for an object to fall a distance of d feet.

Write your answer using t(d)=

Use your answer for #10 to estimate how long it will take a penny dropped into a well to fall 48 feet.

Round to the nearest tenth.

Gemma's swimming pool is only filled with 1,840 gallons of water, so she turns on the hose, which can fill the pool at 17 gallons per minute. The number of gallons (G) in the pool is given by the function below, where m is the time in minutes that the hose has been on.

Write the inverse function so that it is written as minutes as a function of gallons.

Type m=

Use your answer from #12 to answer...
How long will it take for Gemma to fill her 10,000 gallon swimming pool until it is full?

TRUE or FALSE:
If f(x) is a quadratic function, then f^-1(x) will be a square root function.

True

False

Alyssa wrote out the tables below. Is she correct?

No, she is incorrect because you're supposed to change the signs of both the x-values AND the y-values

Yes, she is correct because she swapped the x-values and y-values

No, she is incorrect because you're not supposed to change the signs of any values

Which graph shows a pair of inverse functions?

The shoulder height h (in centimeters) of an elephant is modeled by the function below where t is the age of the elephant in years.

Find the height of an elephant who is 50 years old. Round to the nearest tenth.

How do you say f^-1(x)?

"f inverse of x"

"f negative 1 of x"

"f of x"

Graph:

After you graph, select the correct domain and range.

Domain: [0,\infty)
Range: [4,\infty)

Domain: \left(-\infty ,\infty \right)
Range: \left(-\infty ,\infty \right)

Which equation matches the graph?

What stays the same between the graphs of these two functions?

domain 

vertex point location 

range

The function below is transformed from the parent function.  Select all of the transformations that apply.

Vertical stretch by 3

Right 1 unit

Left 1 unit

Down 1 unit

Vertical compression by 1/3

reflect over the x-axis

Up 1 unit

Drag the letters to match each graph to its correct function.  Click on the picture to zoom in.

B

3

C

4

D

1

A

2

TRUE or FALSE:
If f(x) is a quadratic function, then f^-1(x) will be a square root function.

True

False

Alyssa wrote out the tables below. Is she correct?

No, she is incorrect because you're supposed to change the signs of both the x-values AND the y-values

Yes, she is correct because she swapped the x-values and y-values

No, she is incorrect because you're not supposed to change the signs of any values

Which graph shows a pair of inverse functions?

How do you say f^-1(x)?

"f inverse of x"

"f negative 1 of x"

"f of x"

Unit 5 Quiz

Unit 5 Quiz

Graph:

Write the domain of the graph below.

Find the inverse of the function below.Write your answer using f^{-1}\left(x\right)

Find the inverse of the function belowWrite your answer using f^{-1}\left(x\right)

The function d(t)=16t^2 gives the distance d in feet that a dropped object falls in t seconds. Write the inverse function t(d) to find the time t in seconds it takes for an object to fall a distance of d feet.Write your answer using t(d)=

Use your answer for #10 to estimate how long it will take a penny dropped into a well to fall 48 feet.Round to the nearest tenth.

Use your answer from #12 to answer...How long will it take for Gemma to fill her 10,000 gallon swimming pool until it is full?

The shoulder height h (in centimeters) of an elephant is modeled by the function below where t is the age of the elephant in years. Find the height of an elephant who is 50 years old. Round to the nearest tenth.

Graph:

Graph:After you graph, select the correct domain and range.

Which equation matches the graph?

What stays the same between the graphs of these two functions?

The function below is transformed from the parent function. Select all of the transformations that apply.

Drag the letters to match each graph to its correct function. Click on the picture to zoom in.

Write the domain of the graph below.

Find the inverse of the function below.Write your answer using f^{-1}\left(x\right)

Find the inverse of the function belowWrite your answer using f^{-1}\left(x\right)

The function d(t)=16t^2 gives the distance d in feet that a dropped object falls in t seconds. Write the inverse function t(d) to find the time t in seconds it takes for an object to fall a distance of d feet.Write your answer using t(d)=

Use your answer for #10 to estimate how long it will take a penny dropped into a well to fall 48 feet.Round to the nearest tenth.

Use your answer from #12 to answer...How long will it take for Gemma to fill her 10,000 gallon swimming pool until it is full?

TRUE or FALSE:If f(x) is a quadratic function, then f^-1(x) will be a square root function.

Alyssa wrote out the tables below. Is she correct?

Which graph shows a pair of inverse functions?

The shoulder height h (in centimeters) of an elephant is modeled by the function below where t is the age of the elephant in years. Find the height of an elephant who is 50 years old. Round to the nearest tenth.

How do you say f^-1(x)?

Find the inverse of the function below.

Write your answer using f^{-1}\left(x\right)

Find the inverse of the function below

Write your answer using f^{-1}\left(x\right)

The function d(t)=16t^2 gives the distance d in feet that a dropped object falls in t seconds. Write the inverse function t(d) to find the time t in seconds it takes for an object to fall a distance of d feet.

Write your answer using t(d)=

Use your answer for #10 to estimate how long it will take a penny dropped into a well to fall 48 feet.

Round to the nearest tenth.

Use your answer from #12 to answer...
How long will it take for Gemma to fill her 10,000 gallon swimming pool until it is full?

The shoulder height h (in centimeters) of an elephant is modeled by the function below where t is the age of the elephant in years.

Find the height of an elephant who is 50 years old. Round to the nearest tenth.

Graph:

After you graph, select the correct domain and range.

Find the inverse of the function below.

Write your answer using f^{-1}\left(x\right)

Find the inverse of the function below

Write your answer using f^{-1}\left(x\right)

The function d(t)=16t^2 gives the distance d in feet that a dropped object falls in t seconds. Write the inverse function t(d) to find the time t in seconds it takes for an object to fall a distance of d feet.

Write your answer using t(d)=

Use your answer for #10 to estimate how long it will take a penny dropped into a well to fall 48 feet.

Round to the nearest tenth.

Use your answer from #12 to answer...
How long will it take for Gemma to fill her 10,000 gallon swimming pool until it is full?

TRUE or FALSE:
If f(x) is a quadratic function, then f^-1(x) will be a square root function.

The shoulder height h (in centimeters) of an elephant is modeled by the function below where t is the age of the elephant in years.

Find the height of an elephant who is 50 years old. Round to the nearest tenth.