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Worksheets

Exponential Vs Logarithm

Total questions: 16

Worksheet time: 40mins

Name
Class
Date
1.

What is the domain and range of the function y=2x ?

Use the graph to help!

a)

Domain: All Real Numbers

Range: y>0

b)

Domain: (,)\left(-\infty,\infty\right)
Range: (1,)\left(1,\infty\right)

c)

Domain: −2<x<∞

Range: y>0

d)

Domain: (,)\left(-\infty,\infty\right)
Range: (0,)\left(0,\infty\right)

2.
Which function is exponential?
a)
f(x)
b)
h(x)
c)
g(x)
3.

What type of function is pictured?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

Logarithm

4.
What equation matches the graph?
a)
f(x) = 3x
b)
f(x) = (⅓)x
c)
f(x) = log₃(x)
5.
What equation matches the graph?
a)
f(x) = 3x
b)
f(x) = (⅓)x
c)
f(x) = log₃(x)
6.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
7.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
8.
a)
f(x) = √x
b)
f(x) = log x
9.

To evaluate a logarithm statement log981, you think "9 to what power is 81".

a)

True, and it's 2

b)

False

10.
Rewrite logvn = a in exponential form.
a)
va = n
b)
na = v
c)
vn = a
d)
an = v
11.
Write in logarithmic form.
2-41/16
a)
log2(1/16) = -4
b)
log-4(1/16) = 2
c)
log -4 2 = 1/16
d)
log2(-4) = 1/16
12.
Write in exponential form.
log232 = 5
a)
2-5 = 32
b)
232 = 5
c)
25 = 32
d)
325 = 2
13.
Logarithms are the inverse of ___________.
a)
Trees
b)
Quadratics
c)
Square
d)
Exponential
14.
Growth or Decay?
y = 5(.875)x
a)
Growth
b)
Decay
15.

What type of function is the blue graph?

a)

Exponential Growth

b)

Exponential Decay

c)

Logarithm

d)

Cannot be determined

16.

What type of function is the red graph?

a)

Exponential Growth

b)

Exponential Decay

c)

Logarithm

d)

Cannot be determined