Functions

Front

What is the definition of a function?

Back

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

Front

Which of the following sets of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function.

Front

Is the following function linear or nonlinear? y = 2x + 3

Back

Linear

Front

Is the equation y = x^2 linear or nonlinear?

Back

Nonlinear

Front

Is the graph of y = 3x + 1 a function or not a function?

Back

Function

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph at more than one point, it is not a function.

Front

What are the x-values in a function called?

Back

Domain.

Front

What are the y-values in a function called?

Back

Range.

Front

What is a linear function?

Back

A function that graphs to a straight line.

Front

What is a nonlinear function?

Back

A function that does not graph to a straight line.