Review

Front

What is an asymptote?

Back

An asymptote is a line that a graph approaches but never touches. It can be horizontal, vertical, or oblique.

Front

What is the horizontal asymptote of the function y = 2^x?

Back

The horizontal asymptote of y = 2^x is y = 0.

Front

What is the horizontal asymptote of the function y = 2^x - 3?

Back

The horizontal asymptote of y = 2^x - 3 is y = -3.

Front

What type of graph shows exponential growth?

Back

A graph that increases rapidly as x increases, typically represented by a curve that rises steeply.

Front

What type of graph shows exponential decay?

Back

A graph that decreases rapidly as x increases, typically represented by a curve that falls steeply.

Front

What is the difference between linear and exponential functions?

Back

Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases or decreases exponentially.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if its output values rise as the input values increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if its output values fall as the input values increase.

Front

What is the general form of an exponential function?

Back

The general form of an exponential function is y = a * b^x, where a is a constant, b is the base, and x is the exponent.

Front

What is the base in the exponential function y = 2^x?

Back

The base in the exponential function y = 2^x is 2.