Functions & Linear Functions REVIEW

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a graph represents a function?

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form y = mx + b.

Front

What does 'm' represent in the equation of a linear function y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line, indicating the steepness and direction.

Front

What does 'b' represent in the equation of a linear function y = mx + b?

Back

In the equation y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed, meaning it can curve or have varying slopes.

Front

Give an example of a linear function.

Back

An example of a linear function is y = 2x + 3.

Front

Give an example of a nonlinear function.

Back

An example of a nonlinear function is y = x^2.