Levels 7.7-7.10: Functions

F.7.1

Identify all that are true

• This is a function

• This is not a function

• The input has multiple outputs

• The output has multiple inputs

Answer explanation

The input -2 has multiple outputs.

A function can only have one output for every input.

F.7.2

Identify all that are true

• This is a function

• This is not a function

• An input has multiple outputs

• An output has multiple inputs

Answer explanation

The input -7 has multiple outputs

A function can only have one input for every output

F.7.3

Identify all that are true

• This is a function

• This is not a function

• An input has multiple outputs

• An output has multiple inputs

Answer explanation

Several inputs have multiple outputs. Examples include 0, 1, 2, 3, and 4

A function can only have one input for every output

F.7.4

Identify all that are true

• This is a function

• This is not a function

• An input has multiple outputs

• An output has multiple inputs

Answer explanation

Every input has only one output, and it passes the vertical line test.

Vertical line test: Draw a vertical (up and down) line anywhere on the graph and if there is any point where that vertical line touches more than one point, that graph does not represent a function.

F.7.5

Identify all that are true

• This is a function

• This is not a function

• An output has multiple inputs

• An input has multiple outputs

Answer explanation

Although 2 and 4 appear multiple times in the first column, the output they map to is the same in the 2nd column.

F.7.6

Identify all that are true

• This is a function

• This is not a function

• An output has multiple inputs

• An input has multiple outputs

Answer explanation

The input 167 maps to both 70 and 68.

It only takes one input having multiple outputs for a relationship not to represent a function.

F.7.7

Identify all that are true

• This is a function

• This is not a function

• An output has multiple inputs

• An input has multiple outputs

• Each input only has one output

Answer explanation

Each input has only one output

F.7.8

"In Super Smash Bros, Daniel always has 3 more wins than twice the number of his losses."

Identify all that are true

• This is a function

• This is not a function

• An output has multiple inputs

• An input has multiple outputs

• Each input only has one output

Answer explanation

"In Super Smash Bros, Daniel always has 3 more wins than twice the number of his losses."

1st: Convert this to a mathematics expression

Wins = 3 + 2(Losses)

2nd: Plug in any value for losses and see how many wins are computed

Ex:

Wins = 3 + 2(1)

Wins = 5

Here, 1 losses can only mean that he had 5 wins. That means that the one input can only have one output. Try this with multiple inputs as needed.

F.7.9

Grace and Ashley are selling high-speed golf cart rides to help classmates escape a zombie apocalypse. Once participants sign away the guarantee of their health and safety, Grace and Ashley proceed to zip them away at top speeds. Daniel (but which one Mr. Larry?) proposes they rank their classmates in order to establish a priority list of who to save first.

The system:

Classmates whose likeability is rated less than 3 out of 5 pay $50

Classmates whose likeability is rated at 3 out of 5 or greater pay $1

Is the likeability rating a function of the price paid?

• This is a function

• This is not a function

• An output has multiple inputs

• An input has multiple outputs

• Each input only has one output

Answer explanation

Is the likeability rating a function of the price paid?

Given likability score:

0-2.9

3-5

The output is always:

$50

$1

Because a particular input will only yield one exact output, the relationship is a function.

F.8.Notes

Kindly confirm that these insights are mastered or copied into your notes by typing "Done"