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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Exponential and Logarithmic FunctionsSection:The Natural Base, e
 

Problem: 1

Evaluate the expression:

e3 ·e5


Problem: 3

Simplify.


Problem: 5

Evaluate the expression:


Problem: 7

Evaluate the expression:


Problem: 9

Simplify.

(2e–3x)–1


Problem: 11

Evaluate the expression:


Problem: 13

Simplify.


Problem: 15

Evaluate the expression:


Problem: 17

Sketch the graph of the function:

f(x) = ex


Problem: 19

Graph

and state the domain and range.


Problem: 21

Sketch the graph of the function:

Determine whether it is an example of exponential growth or exponential decay.


Problem: 23

Graph

y = 1.4e–0.4x

And state the domain and range.


Problem: 25

Sketch the graph of the function:

f(x) = 1.2e–0.5x


Problem: 27

Sketch the graph of the function:


Problem: 29

Sketch the graph of the function:


Problem: 31

Graph

and state the domain and range.


Problem: 33

Determine whether the function is an example of exponential growth or exponential decay:


Problem: 35

Determine whether the following function is an example of exponential growth or exponential decay.

f(x) = 3e–3x


Problem: 37

Determine whether the function is an example of exponential growth or exponential decay:

f(x) = e–7x


Problem: 1

Evaluate the expression:

e3 ·e5


Problem: 3

Simplify.


Problem: 5

Evaluate the expression:


Problem: 7

Evaluate the expression:


Problem: 9

Simplify.

(2e–3x)–1


Problem: 11

Evaluate the expression:


Problem: 13

Simplify.


Problem: 15

Evaluate the expression:


Problem: 17

Sketch the graph of the function:

f(x) = ex


Problem: 19

Graph

and state the domain and range.


Problem: 21

Sketch the graph of the function:

Determine whether it is an example of exponential growth or exponential decay.


Problem: 23

Graph

y = 1.4e–0.4x

And state the domain and range.


Problem: 25

Sketch the graph of the function:

f(x) = 1.2e–0.5x


Problem: 27

Sketch the graph of the function:


Problem: 29

Sketch the graph of the function:


Problem: 31

Graph

and state the domain and range.


Problem: 33

Determine whether the function is an example of exponential growth or exponential decay:


Problem: 35

Determine whether the following function is an example of exponential growth or exponential decay.

f(x) = 3e–3x


Problem: 37

Determine whether the function is an example of exponential growth or exponential decay:

f(x) = e–7x