Graphing Exponential and Logarithmic Functions

Front

What are Logarithms and Exponentials?

Back

They are inverses of each other.

Tags

CCSS.HSF.BF.B.5

Front

What is the Asymptote of the function y = a^x?

Back

x = 1 (for the function y = a^x, the vertical asymptote is x = 1).

Tags

CCSS.HSF-IF.C.7E

Front

What is the equation of the asymptote for the function y = a^(x + 3)?

Back

x = -3.

Tags

CCSS.HSF-IF.C.7E

Front

Exponential functions have ____________ asymptotes.

Back

horizontal asymptotes.

Tags

CCSS.HSF-IF.C.7D

Front

What are the transformations of the graph y = a^(x - 1) + 5?

Back

Right 1 Up 5.

Tags

CCSS.HSF.BF.B.3

Front

Define an exponential function.

Back

A function of the form y = a^x, where a > 0 and a ≠ 1.

Front

What is the base of a logarithm?

Back

The base is the number that is raised to a power to obtain a given value.

Tags

CCSS.HSF.BF.B.5

Front

What is the relationship between logarithmic and exponential functions?

Back

Logarithmic functions are the inverses of exponential functions.

Tags

CCSS.HSF.BF.B.5

Front

What is the general form of a logarithmic function?

Back

y = log_a(x), where a is the base.

Tags

CCSS.HSF-IF.C.7E

Front

What does the graph of an exponential function look like?

Back

It increases rapidly and approaches the horizontal asymptote.

Tags

CCSS.HSF-IF.C.7E