Exponential Functions and their Graphs - Concept

Concept Concept (1)

There are certain functions, such as exponential functions, that have many applications to the real world and have useful inverse functions. Graphing exponential functions is used frequently, we often hear of situations that have exponential growth or exponential decay. The inverses of exponential functions are logarithmic functions. The graphs of exponential functions are used to analyze and interpret data.

Sample Sample Problems (8)

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Exponential Functions and their Graphs - Problem 1

Graph:

f(x) = 2x
Problem 1
How to graph an exponential function with a base greater than one.
Exponential Functions and their Graphs - Problem 2

Graph:

f(x) = (½)x
Problem 2
How to graph an exponential function with a base less than one.
Exponential Functions and their Graphs - Problem 3

Graph:

f(x) = 10x − 2 + 1
Problem 3
How to graph a transformation of an exponential function.
Exponential Functions and their Graphs - Problem 4
Problem 4
How to graph exponential growth functions.
Exponential Functions and their Graphs - Problem 5
Problem 5
How to graph exponential decay functions.
Exponential Functions and their Graphs - Problem 6
Problem 6
How to describe transformations of exponential functions in words.
Exponential Functions and their Graphs - Problem 7
Problem 7
How to determine exponential growth or decay.
Exponential Functions and their Graphs - Problem 8
Problem 8
How to use two points to write an exponential function containing the points.