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Intro to Exponential Functions EXIT TICKET

Total questions: 13

Worksheet time: 26mins

Name
Class
Date
1.

Which of the following is an Exponential Function?

a)

 f(x)=x2+bx+cf\left(x\right)=x^2+bx+c  

b)

 f(x)=mx+bf\left(x\right)=mx+b  

c)

 f(x)=abxf\left(x\right)=ab^x  

d)

 f(x)=x3+af\left(x\right)=x^3+a  

2.

Exponential Growth is when:

a)

b1b\ge1

b)

0b10\le b\le1

c)

b>1b>1

d)

0<b<10<b<1

3.

Exponential Decay is when:

a)

b1b\ge1

b)

0b10\le b\le1

c)

b>1b>1

d)

0<b<10<b<1

4.

What is the asymptote for this function?

a)

y=0

b)

x=0

c)

y=1

d)

y=IR

5.

What is the y-intercept?

a)

(0,-1)

b)

(1,0)

c)

(0,1)

d)

(1,1)

6.

What does the A represent in this function?

a)

x-intercept

b)

y-intercept

c)

ratio

d)

constant

7.

What does the B represent in this function?

a)

x-intercept

b)

y-intercept

c)

ratio

d)

constant

8.

Does this graph show Exponential Growth or Exponential Decay?

a)

Growth

b)

Decay

9.

Does this graph show Exponential Growth or Exponential Decay?

a)

Growth

b)

Decay

10.

Write the Exponential Function for the graph above.

a)

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

b)

f(x)=22xf\left(x\right)=2\cdot2^x

c)

f(x)=122xf\left(x\right)=\frac{1}{2}\cdot2^x

d)

f(x)=1xf\left(x\right)=1^x

11.

Write the Exponential Function for the graph above.

a)

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

b)

f(x)=32xf\left(x\right)=3\cdot2^x

c)

f(x)=6xf\left(x\right)=6^x

d)

f(x)=3(12)xf\left(x\right)=3\cdot\left(\frac{1}{2}\right)^x

12.

Write the Exponential Function for the graph above.

a)

f(x)=35xf\left(x\right)=3\cdot5^x

b)

f(x)=533xf\left(x\right)=\frac{5}{3}\cdot3^x

c)

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

d)

f(x)=5(13)xf\left(x\right)=5\cdot\left(\frac{1}{3}\right)^x

13.

Write the Exponential Function for the table above.

a)

 f(x)=14xf\left(x\right)=-1\cdot4^x 

b)

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

c)

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

d)

 f(x)=4xf\left(x\right)=4^x