Exponential Functions Quiz: Graphing, Simplifying, and Solving, Exercises of Calculus

A chapter 8 quiz on exponential functions. The quiz includes tasks such as sketching the graph of exponential functions, simplifying expressions, evaluating expressions, and solving equations. Students are required to label at least three points on the curve and simplify all radicals. The document may be useful for university students taking a calculus or advanced mathematics course in the academic year 2023.

Typology: Exercises

2012/2013

Uploaded on 01/31/2013

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Hon. Adv. Alg. Chapter 8 Quiz #1 Name______________________
Sketch the graph the following exponential functions. Label at least 3 points on your curve.
1.
1
2
x
y
+
=
2.
22
x
y= +
Simplify the following expressions. Be sure to simplify all radicals.
3.
8
2
2
4
4.
3 23
27 3
5. Write in exponential form:
3
1
log 4
81 =
6. Write in logarithmic form:
3
4
16 8=
Evaluate each expression.
7. 3
log 81 8.
2
1
log 128
9.
7
log 1
pf2

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Hon. Adv. Alg. Chapter 8 Quiz #1 Name______________________

Sketch the graph the following exponential functions. Label at least 3 points on your curve.

1

x

y

x

y = +

Simplify the following expressions. Be sure to simplify all radicals.

8

2

3 2 3

  1. Write in exponential form:

3

log 4

  1. Write in logarithmic form:

3

4

Evaluate each expression.

3

log 81 8.

2

log

7

log 1

Solve the following equations.

3 6 21

x x +

5 x − 4

3 x + 2

2 3

x

x +

log

2

x

log

y

log

4

a

log

4

5 x − 4 ( ) =

log

4

x + 8 ( )

log

9

x

2

  • 6 x

( ) =

log

9

  1. Solve:

2

4

log x + 6 x = 2