Functions/Linear vs NonLinear 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 graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.

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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. Its rate of change is not constant.

Tags

CCSS.8.F.A.3

Front

Which of the following is a function? (3, 4), (3, 5), (4, 5)

Back

(3, 4), (4, 5) is a function because the input 3 is associated with only one output.

Tags

CCSS.8.F.A.1

Front

What does it mean for a set of points to be a function?

Back

A set of points is a function if no two points have the same x-coordinate with different y-coordinates.

Tags

CCSS.8.F.A.1

Front

How can you tell if a table of values represents a function?

Back

A table of values represents a function if each x-value is unique and does not repeat with different y-values.

Tags

CCSS.8.F.A.1

Front

What is the definition of a domain in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (x-values).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the definition of a range in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (y-values).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is y = x^2, which forms a parabola when graphed.

Tags

CCSS.8.F.A.3