Describing Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and can include curves, parabolas, and other shapes.

Front

What is the output of the function y = 4 - x when x = 1?

Back

The output is 3.

Front

How do you determine if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant ratio between the input and output values.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

What is the y-intercept in the equation y = -x + 5?

Back

The y-intercept is 5.

Front

If a function has an output of 12 when the input is 0, what is the y-intercept?

Back

The y-intercept is 12.

Front

What does it mean for a function to be non-proportional?

Back

A non-proportional function does not have a constant ratio between input and output values and does not pass through the origin.

Front

Complete the table of values for y = 2x + 1 when x = 2.

Back

When x = 2, y = 5.