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Module 3 Exercise 3

Total questions: 10

Worksheet time: 3mins

Name
Class
Date
1.

Which function exhibits exponential growth?

a)

a(x)=1.5xa\left(x\right)=1.5^x

b)

b(x)=(14)xb\left(x\right)=\left(\frac{1}{4}\right)^x

c)

c(x)=0.5xc\left(x\right)=0.5^x

d)

d(x)=(12)xd\left(x\right)=\left(\frac{1}{2}\right)^x

2.

Which function exhibits exponential decay?

a)

a(x)=(32)xa\left(x\right)=\left(\frac{3}{2}\right)^x

b)

b(x)=(34)xb\left(x\right)=\left(\frac{3}{4}\right)^x

c)

c(x)=1.25xc\left(x\right)=1.25^x

d)

d(x)=4xd\left(x\right)=4^x

3.

What is the trend of

 f(x)=6xf\left(x\right)=6^x  ?

a)

increasing

b)

decreasing

4.

What is the trend of

 g(x)=(25)xg\left(x\right)=\left(\frac{2}{5}\right)^x  ?

a)

increasing

b)

decreasing

5.

Which has a steeper graph?

a)

f(x)=4xf\left(x\right)=4^x

b)

g(x)=8xg\left(x\right)=8^x

6.

Which has a steeper graph?

a)

f(x)=(45)xf\left(x\right)=\left(\frac{4}{5}\right)^x

b)

g(x)=(37)xg\left(x\right)=\left(\frac{3}{7}\right)^x

7.

What is the x-intercept of

 h(x)=9xh\left(x\right)=9^x  ?

a)

 nonenone  

b)

 (1, 0)\left(1,\ 0\right)  

c)

 (0, 1)\left(0,\ 1\right)  

8.

What is the horizontal asymptote of

 f(x)=(58)xf\left(x\right)=\left(\frac{5}{8}\right)^x  ?

a)

 nonenone  

b)

 x=0x=0  

c)

 y=0y=0  

d)

 y−axisy-axis  

9.

What is the domain of

 g(x)=(54)xg\left(x\right)=\left(\frac{5}{4}\right)^x  ?

a)
b)
c)
d)
10.

What is the y-intercept of

 h(x)=0.9xh\left(x\right)=0.9^x  ?

a)

 nonenone  

b)

 (1, 0)\left(1,\ 0\right)  

c)

 (0, 1)\left(0,\ 1\right)