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Key Features of Exponential Functions

Authored by Rhea Hartman

Mathematics

10th - 12th Grade

CCSS covered

Used 369+ times

Key Features of Exponential Functions
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15 questions

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1.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Which of the following statements are true about the function below? Select all that apply.

 f(x)=0.5(2)x1f\left(x\right)=0.5\left(2\right)^x-1  

The function represents exponential growth

The y-intercept is  (0, 0.5)\left(0,\ 0.5\right)  

The horizontal asymptote is  y=1y=-1  

The domain is all real numbers  (, )\left(-\infty,\ \infty\right)  

The range is all real numbers  (, )\left(-\infty,\ \infty\right)  

Tags

CCSS.HSF-IF.C.7E

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the function

 g(x)=4x2+3g\left(x\right)=4^{x-2}+3 , what is the horizontal asymptote? 

 y=2y=-2  

 y=2y=2  

 y=3y=-3  

 y=3y=3  

Tags

CCSS.HSF-IF.C.7E

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

State the range of the function below:

 h(x)=5x1h\left(x\right)=-5^x-1  

All real numbers  (, )\left(-\infty,\ \infty\right)  

 y>1y>1  

 y>1y>-1  

 y<1y<-1  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Which equation models the graph?

y=1+2xy=1+2x

y=2xy=2x

y=12xy=1\cdot2^x

y=21xy=2\cdot1^x

Tags

CCSS.HSF.LE.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which function models exponential decay?

f(x)=5(0.99)xf\left(x\right)=5\left(0.99\right)^x

g(x)=(32)x+2g\left(x\right)=\left(\frac{3}{2}\right)^x+2

h(x)=1.01xh\left(x\right)=1.01^x

y=0.5(2)xy=0.5\left(2\right)^x

Tags

CCSS.HSF-LE.A.1A

6.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Media Image

Which of the following statements are true of the exponential function? Select all that apply.

The graph has been shifted up 3 units from the parent function.

The y-intercept is (0, 1)\left(0,\ 1\right)

The function represents exponential growth.

The domain is x>2x>-2

The range is y>3y>3

Tags

CCSS.HSF-IF.C.7E

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Which function models the values in the table?

f(x)=125(5)xf\left(x\right)=125\left(5\right)^x

f(x)=125(15)xf\left(x\right)=125\left(\frac{1}{5}\right)^x

f(x)=1255xf\left(x\right)=125-5^x

f(x)=1255xf\left(x\right)=125-5x

Tags

CCSS.HSF.LE.A.2

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