Functions, Functions, Functions

What is the definition of function?

• Has inputs and outputs

• Every input has only ONE output

• Inputs have different outputs every time

• x-values and y-values

Answer explanation

A function is defined as a relation where every input (x-value) corresponds to exactly one output (y-value). This means that for each input, there cannot be multiple outputs, making 'Every input has only ONE output' the correct choice.

Tags

CCSS.8.F.A.1

• Function
• Not a Function

Tags

CCSS.8.F.A.1

Is this mapping a function or not a function? 

• Function

• Not a Function

Answer explanation

This mapping is not a function because it assigns multiple outputs to at least one input. A function must have exactly one output for each input.

Tags

CCSS.8.F.A.1

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.

Answer explanation

No, because the x-value 11 has two y-values paired with it. A function must have only one output (y-value) for each input (x-value), and this violates that rule.

Tags

CCSS.8.F.A.1

Is this mapping a function or not a function? 

• Function

• Not a Function 

Answer explanation

This mapping is a function because each input is associated with exactly one output. Therefore, the correct choice is 'Function'.

Tags

CCSS.8.F.A.1

Is this graph a function or not a function? 

• Function

• Not a Function

Answer explanation

The graph is a function because each input (x-value) corresponds to exactly one output (y-value). This satisfies the definition of a function, confirming the correct choice is 'Function'.

Tags

CCSS.8.F.A.1

Is this graph a function or not a function? 

• Function

• Not a Function

Answer explanation

The graph is a function because each input (x-value) corresponds to exactly one output (y-value). This satisfies the definition of a function, confirming the correct choice is 'Function'.

Tags

CCSS.8.F.A.1

Is this table a function or not a function? 

• Function

• Not a Function

Answer explanation

A table is not a function if any input (x-value) corresponds to multiple outputs (y-values). If the table shows repeated x-values with different y-values, it is classified as 'Not a Function', which is the correct choice.

Tags

CCSS.8.F.A.1

Is this graph a function or not a function? 

• Function

• Not a Function

Answer explanation

The graph is not a function because it fails the vertical line test; a vertical line intersects the graph at more than one point, indicating that a single input corresponds to multiple outputs.

Tags

CCSS.8.F.A.1

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

A function must have unique x-values. The set (6,-5) (7,-3) (8,-1) (9,1) has unique x-values (6, 7, 8, 9), making it a function. The other sets contain repeated x-values, which disqualifies them as functions.

Tags

CCSS.8.F.A.1