Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

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, etc.

Front

What does the notation g(x) represent?

Back

g(x) represents the output of the function g for a given input x.

Front

How do you find the output of a function?

Back

To find the output of a function, substitute the input value into the function's equation.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change and graph to a straight line, while nonlinear functions have a variable rate of change and graph to curves.

Front

What is the slope in a linear function?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is f(x) = x^2, which graphs to a parabola.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.