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Analyzing Exponential Functions w./ Transformations

Analyzing Exponential Functions w./ Transformations

Assessment

Presentation

Mathematics

9th - 12th Grade

Practice Problem

Medium

CCSS
HSF-IF.C.7E, HSF.BF.B.3

Standards-aligned

Created by

Hannah Wiley

Used 13+ times

FREE Resource

9 Slides • 13 Questions

1

Analyzing Exponential Functions w./ Transformations

Week 25: Wednesday, 3/3

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10

Multiple Choice

What is the domain of this exponential function?

 f(x)=3x2f\left(x\right)=3^x-2  

1

 (,0)\left(-\infty,0\right)  

2

 (0,)\left(0,\infty\right)  

3

All Real Numbers

4

The domain does not exist.

11

Multiple Choice

What is the range of this function?

 f(x)=24x+6f\left(x\right)=2\cdot4^x+6  

1

 x>0x>0  

2

 x>6x>6  

3

 y>0y>0  

4

 y>6y>6  

12

Multiple Choice

What is the asymptote of this function?

 f(x)=24x+6f\left(x\right)=2\cdot4^x+6  

1

 x=0x=0  

2

 x=6x=6  

3

 y=0y=0  

4

 y=6y=6  

13

Multiple Choice

What is the y-intercept of this function? (Hint: Use Desmos!)

 f(x)=5(x2)+4f\left(x\right)=5^{\left(x-2\right)}+4  

1

(0, 4.04)

2

(0, 0)

3

(0, 1)

4

(4.04, 0)

14

Multiple Choice

What is the end behavior  of this function? (Hint: Use Desmos!)

 f(x)=53x+7f\left(x\right)=5\cdot3^x+7  

1

As x goes left, y goes towards 7. 

As x goes right, y goes up.

2

As x goes left, y goes up. 


As x goes right, y goes towards 7.

15

Multiple Choice

What is the domain of this exponential function?

 f(x)=(12)x+2f\left(x\right)=\left(\frac{1}{2}\right)^x+2  

1

 (,0)\left(-\infty,0\right)  

2

 (0,)\left(0,\infty\right)  

3

All Real Numbers

4

The domain does not exist.

16

Multiple Choice

What is the range of this function?

 f(x)=3(14)xf\left(x\right)=3\cdot\left(\frac{1}{4}\right)^x  

1

 x>0x>0  

2

 x>3x>3  

3

 y>0y>0  

4

 y>3y>3  

17

Multiple Choice

What is the asymptote of this function?

 f(x)=3(14)xf\left(x\right)=3\cdot\left(\frac{1}{4}\right)^x  

1

 x=0x=0  

2

 x=3x=3  

3

 y=0y=0  

4

 y=3y=3  

18

Multiple Choice

What is the y-intercept of this function? (Hint: Use Desmos!)

 f(x)=2x3f\left(x\right)=2^x-3  

1

(0, 1)

2

(0, 0)

3

(1.585, 0)

4

(0, -2)

19

Multiple Choice

What is the end behavior  of this function? (Hint: Use Desmos!)

 f(x)=(12)5(x3)+2f\left(x\right)=\left(\frac{1}{2}\right)\cdot5^{\left(x-3\right)}+2  

1

As x goes left, y goes towards 2. 

As x goes right, y goes up.

2

As x goes left, y goes up. 


As x goes right, y goes towards 2.

20

Multiple Select

How does this function transform?

 f(x)=23x+2f\left(x\right)=2\cdot3^x+2  

1

Moves Up

2

Moves Down

3

Moves Left

4

Moves Right

5

Stretches

21

Multiple Select

How does this function transform?

 f(x)=135(x2)5f\left(x\right)=\frac{1}{3}\cdot5^{\left(x-2\right)}-5  

1

Moves Up

2

Moves Down

3

Moves Left

4

Moves Right

5

Compresses

22

Multiple Select

How does this function transform?

 f(x)=5(x+3)7f\left(x\right)=5^{\left(x+3\right)}-7  

1

Moves Up

2

Moves Down

3

Moves Left

4

Moves Right

5

Stretches

Analyzing Exponential Functions w./ Transformations

Week 25: Wednesday, 3/3

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