Functions, Functions, 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 domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

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What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

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

Back

A relation is a function if every input (x-value) is associated with exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

Identify the function from the following sets: (9,5), (10,5), (9,-5), (10,-5), (6,-5), (7,-3), (8,-1), (9,1)

Back

(6,-5), (7,-3), (8,-1), (9,1) is a function because each x-value is unique.

Tags

CCSS.8.F.A.1

Front

What is an independent variable in a function?

Back

The independent variable is the input value (usually x) that can be changed freely.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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What is a dependent variable in a function?

Back

The dependent variable is the output value (usually y) that depends on the input value.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.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 a vertical line crosses the graph more than once, it is not a function.

Front

What does it mean if a table has repeated x-values?

Back

If a table has repeated x-values, it means that the relation is not a function because one input cannot correspond to multiple outputs.

Tags

CCSS.8.F.A.1

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

The domain is {0, 1, 2, -4}.