Identifying Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Tags

CCSS.8.F.A.1

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line. Examples include quadratic functions, exponential functions, and trigonometric functions.

Tags

CCSS.8.F.A.3

Front

Identify the function: y = 2x + 3

Back

This is a linear function.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Identify the function: y = x^2 - 4

Back

This is a nonlinear function.

Tags

CCSS.8.F.A.3

Front

What is the slope of the line represented by the function y = 5x - 2?

Back

The slope is 5.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the function y = 3x + 4?

Back

The y-intercept is 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Which of the following is NOT a function: {(1, 2), (1, 3), (2, 4)}?

Back

This is NOT a function because the input 1 is related to two different outputs (2 and 3).

Tags

CCSS.8.F.A.1

Front

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

Back

For a relation to be a function, each input must correspond to exactly one output.

Tags

CCSS.8.F.A.1

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.