Identifying functions, Linear and NonLinear 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 is a linear function? y = 2x + 4, y = 2x² + 4, y = 2x(4 − 3x), xy = 15

Back

y = 2x + 4 is a linear function.

Front

Is the graph pictured a linear or nonlinear function?

Back

The graph is Nonlinear.

Front

Is the table of values linear or nonlinear?

Back

The table is Nonlinear.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

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

Back

It means that each input is associated with exactly one output.

Front

Identify whether the following relation is a function: {(1, 2), (2, 3), (1, 4)}

Back

This relation is NOT a function because the input '1' has two different outputs.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.