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 the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has 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 form a straight line when graphed. 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 + 1?

Back

The y-intercept is 1.

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 function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.