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Objective - To write and evaluate simple functions.PowerPoint Presentation

Objective - To write and evaluate simple functions.

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Objective - To write and evaluate simple functions.

Input

Function

Output

y = 5x

x

y

Input

Output

x

y

2

10

2

10

3

15

3

15

4

20

4

20

5

25

.

.

.

6

30

7

y = 5x

35

7

35

y = 8 x

y = 8 20

Logan assembles outdoor BBQs for $8 each.

Write a rule that represents his pay, y, in terms

of the number of BBQs he assembles, x.

Domain =

Input = x

= the # of BBQs assembled.

Range =

Output = y

= amount Logan is paid.

Output

Input

y =

If Logan assembles 20 BBQs last week, what

would he get paid?

y = 160

$160

Todd is 3 years older than his brother, Mark. If

Mark is x years old and Todd is y years old, write

a rule that relates their ages over time.

Domain =

Input = x

= Mark’s age.

Range =

Output = y

= Todd’s age.

Output

Input

y =

x + 3

When Mark is 28 years old, how old will Todd be?

y = x + 3

y = 28 + 3

Todd will be 31.

y = 31

Relation - Any set of ordered pairs

Function - A type of relation where there

is exactly one output for every input. For

every x there is exactly one y.

x

y

x

y

1

6

1

6

2

7

2

7

3

7

3

Function

Relation - Any set of ordered pairs

Function - A type of relation where there

is exactly one output for every input. For

every x there is exactly one y.

x

y

x

y

1

6

1

6

1

7

2

7

2

7

Not a Function

A rule or equation where there is

exactly one output for every input.

For every

x-value there is exactly one y-value.

x

-1

0

1

2

4

x

-1

0

1

2

4

x

1

0

1

2

4

y

-2

0

2

4

6

y

2

0

2

4

6

y

-2

0

2

4

6

No x-

value

repeats

No x-

value

repeats

x-value

repeats

-2

2

-1

1

1

2

Yes, it is a

function

Yes, it is a

function

No, it is not

a function

Vertical Line Test - Functions

y

y

y

y

x

x

x

x

Function

Function

Function

Not a

Function

y

y

y

y

x

x

x

x

Vertical Line Test - Functions

y

y

y

y

x

x

x

x

Function

Function

Function

Not a

Function

y

y

y

y

x

x

x

x

Not a

Function

Not a

Function

Not a

Function

Function

Tell whether the relation below is a function.

output

input

1)

3)

y

0

1

x

5

Function

Not a

Function

2

3

x

y

output

input

2)

4)

-3

-3

-3

-3

-1

0

1

2

3

-2

4

-1

Not a

Function

5

Not a

Function

0

6

Write a function rule that relates x and y in the

tables below.

x -2 -1 0 1 2 3

1)

y = 4x

y -8 -4 0 4 8 12

x -2 -1 0 1 2 3

2)

y = x + 5

y 3 4 5 6 7 8

x -2 -1 0 1 2 3

3)

y

x -2 -1 0 1 2 3

4)

y = 3x + 2

y -4 -1 2 5 8 11