Functions

Front

What is a function?

Back

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

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

What is the definition of 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 the definition of 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

Is the graph of y = 2x + 3 linear or nonlinear?

Back

Linear.

Front

Is the graph of y = x^2 nonlinear or linear?

Back

Nonlinear.

Front

What does it mean for a graph to be a function?

Back

A graph represents a function if every vertical line intersects the graph at most once (Vertical Line Test).

Front

What is the output of the function f(x) = 3x + 2 when x = 4?

Back

f(4) = 3(4) + 2 = 14.

Front

What is the output of the function f(x) = x^2 when x = -3?

Back

f(-3) = (-3)^2 = 9.

Front

What is the domain of a function?

Back

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