02 Identifying Functions

A function is a special type of...

• multi-variable equation

• multi-variable inequality

• one-variable equation

• one-variable inequality

Tags

CCSS.8.F.A.1

True or False: In order to determine whether or not an equation is a function, you must first define the independent and dependent variable(s).

• True

• False

Tags

CCSS.8.F.A.1

A function is a relation such that...

• each input produces exactly one output

• each input produces more than one output

• each output is produced by exactly one input

• each output is produced by more than one input

Tags

CCSS.8.F.A.1

When graphed on the coordinate plane, a two-variable equation is a function iff its graph passes the...

• Vertical Line Test

• Horizontal Line Test

• Converging Arrows Test

• Diverging Arrows Test

Which of the mapping diagrams below represent functions? Check all that apply.

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Tags

CCSS.8.F.A.1

Which of the graphs below represent functions? Check all that apply.

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Which of these equations represent functions? [Recall that  $x$  is assumed to be the independent variable.]

•  $y=3x$  

•  $y=5x+12$  

•  $x=\left|y\right|$  

•  $y=\left|x\right|$  

•  $x^2+y^2=25$  

Tags

CCSS.8.F.A.1

Does the following mapping diagram represent a function? Explain why or why not.

• Yes, each input has at least one output

• No, 40 has two different outputs.

• Yes, each output has at least one input

• No, 2 and 5 each have two different inputs.

Tags

CCSS.8.F.A.1

Which of the following is NOT a function?

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Tags

CCSS.8.F.A.1

Does this scatter plot represent a function? Explain why or why not.

• Function: Each input has at least one output.

• Not a function: 2 has two different outputs.

• Function: Each output has at least one input.

• Not a function: -1 and 1 both have two different inputs.

Tags

CCSS.8.F.A.1