7.1 Exponential and Logarithmic Functions 10 Qs

Front

Logarithmic functions are the inverse of...

Back

Exponential Functions

Front

Is the pictured graph growth, decay, or linear or none?

Back

Decay

Front

Describe the asymptote of f(x)=log_5(x+4) - 2

Back

Vertical Asymptote x = -4

Front

Match the graph with its equation: y = log_6(x − 2) + 1

Back

This equation represents a logarithmic function that shifts right by 2 and up by 1.

Front

What is the asymptote of y = 2^x?

Back

y = 0

Front

What is the base of a logarithm?

Back

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

Front

What is the relationship between exponential and logarithmic functions?

Back

Exponential functions grow rapidly, while logarithmic functions grow slowly and are their inverses.

Front

What does the graph of an exponential growth function look like?

Back

It rises steeply from left to right.

Front

What does the graph of an exponential decay function look like?

Back

It falls steeply from left to right and approaches the x-axis.

Front

What is the domain of a logarithmic function?

Back

The domain is all positive real numbers.