4A: Determine Functions

What is the most accurate definition of function?

• Has inputs and outputs

• Every input has exactly one output

• Inputs have different outputs every time

• x-values and y-values

Tags

CCSS.HSF.IF.A.1

Is this table a function or not a function?

• yes, it is a function

• no, it is not a function

Answer explanation

Every input has exactly one output

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Is this table a function or not a function?

• Function

• Not a Function

Answer explanation

The input of 3 has more than one output (1 and 6)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

Is this table a function or not a function?

• Function

• Not a Function

Answer explanation

Every input has exactly one output.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)

• (3,4) (4,-3) (7,4) (3, 8)

• (6,-5) (7, -3) (8, -1) (9, 1)

• (2, -2) (5, 9) (5, -7) (1, 4)

Answer explanation

Every input within this set of ordered pairs has exactly one output. This is NOT the case for any other options.

Tags

CCSS.HSF.IF.A.1

Does this set of values represent a function?

• yes, it is a function

• no, it is not a function

Answer explanation

Every input has exactly one output.

Tags

CCSS.HSF.IF.A.1

Does this set of values represent a function?

• Yes, it is a Function

• No, it is not a Function

Answer explanation

Every input has exactly one output.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Which graph does NOT pass the vertical line test?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Answer explanation

If a graph passes the "vertical line test", it means every input (x-value) has no more than one output (y-value) associated with it!

If a graph fails the "vertical line test", it means that at least one input (x-value) has more than one output (y-value) associated with it. Not every input has exactly one output.

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

Is this graph a function or not a function?

• Function

• Not a Function

Answer explanation

It passes the "vertical line test", which means every input has exactly one output.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Is this graph a function or not a function?

• Function

• Not a Function

Answer explanation

It fails the "vertical line test", which means at least one input has more than one output.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2