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Exponential Functions (intro)

Total questions: 16

Worksheet time: 32mins

Name
Class
Date
1.

Which is the basic form of a linear function?

a)

y=mx+by=mx+b

b)

y=abxy=a\cdot b^x

c)

y=axy=a\left|x\right|

2.

Which is the basic form of an exponential function?

a)

y=mx+by=mx+b

b)

y=abxy=a\cdot b^x

c)

y=axy=a\left|x\right|

3.

Which graph shows an exponential function?

a)
b)
c)
d)
4.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
5.

Which function below is an exponential function?

a)

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

b)

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

c)

f(x) = log13xf\left(x\right)\ =\ \log_{\frac{1}{3}}x

d)

f(x) = 3xf\left(x\right)\ =\ \frac{3}{x}

6.

Which function below is an exponential function?

a)

f(x) = 3xf\left(x\right)\ =\ 3x

b)

f(x) = 3xf\left(x\right)\ =\ 3^x

c)

f(x) = log3xf\left(x\right)\ =\ \log_3x

d)

f(x) = 3xf\left(x\right)\ =\ \frac{3}{x}

7.

Describe the function:

a)

exponential growth

b)

exponential decay

8.

Describe the function:

a)

exponential growth

b)

exponential decay

9.

What is the asymptote for this function?

a)

y=0

b)

x=0

c)

y=1

d)

y=IR

10.

What does the A represent in this function?

a)

x-intercept

b)

y-intercept

c)

ratio

d)

constant

11.

What does the B represent in this function?

a)

x-intercept

b)

y-intercept

c)

growth/decay

ratio

d)

constant

12.

What is the base of this exponential function?

f(x)=5xf\left(x\right)=5^x  



(a)  

13.

What is the base of this exponential Function?

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



(a)  

14.

Is this exponential function and example of growth or decay?

f(x) = 3xf\left(x\right)\ =\ 3^x  

a)

Growth

b)

Decay

15.

Is this exponential function and example of growth or decay?


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

a)

Growth

b)

Decay

16.

Which of the following is NOT an exponential function?

a)

g(x) = x3 +2x1g\left(x\right)\ =\ x^{3\ }+2x-1

b)

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

c)

h(x) =3x h\left(x\right)\ =3^{x\ }

d)

All of the Above are Exponential Functions