Math 1 Honors HW Exponential vs Linear Functions!

Front

What is a linear function?

Back

Front

What is an exponential function?

Back

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 rapidly.

Front

What does it mean for a function to have a constant rate of change?

Back

A function has a constant rate of change if the difference in the output values (y-values) is the same for equal differences in the input values (x-values). This is characteristic of linear functions.

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 general form of a linear equation?

Back

Front

How do you identify a linear function from a table of values?

Back

A linear function will show a constant difference in the y-values for equal increments in the x-values.

Front

What is the slope of a line?

Back

Front

What is the y-intercept?

Back

Front

What does it mean for a function to be neither linear nor exponential?

Back

A function is neither linear nor exponential if it does not fit the characteristics of either type, such as having a varying rate of change that does not follow a straight line or an exponential curve.