Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.

Front

What is the definition of a linear function?

Back

Front

What does it mean for a mapping to be 'not a function'?

Back

A mapping is 'not a function' if at least one input is associated with more than one output.

Front

How do you determine the slope of a line given two points?

Back

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis. It occurs when x = 0.

Front

What is the difference between a linear and nonlinear function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a nonlinear function has a variable rate of change and can graph as a curve.

Front

What is the rate of change in a function?

Back

The rate of change describes how much the output value (y) changes for a change in the input value (x). It is often represented by the slope of the line.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input values increase, the output values decrease.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If any vertical line intersects the curve at more than one point, it is not a function.