Functions & Function Notation

Is the relation a function?
(1,4), (2,6), (3,-1), (5,-1), (7,-1)

Yes
Each x-value has exactly one y-value

Is the relation a function?
(0,-2), (-2,0), (1,8), (3,2), (-2,-1)

No
When x is equal to -2, there are two different y-values

Give the Domain of the relation:
(1,4), (2,6), (3,-1), (5,-1), (7,-1)

D: {1,2,3,5,7}

Give the Range of the relation:
(0,-2), (-2,0), (1,8), (3,2), (-2,-1)

R: {-2,-1,0,2, 8}

The vertical line test is used to determine if a relation is what?

A function or not

Continuous or Discrete?
The temperature of the oven being preheated to cook brownies

Continuous

Continuous or Discrete?
The number of fish at different ocean depths

Discrete

Write in function notation:
The babysitter charges $8 per hour.

f(x) = 8x

Write in function notation:
The number of pizzas needed is equal to the number of people divided by 4.

f(x) = x/4

Write in function notation:
The cost to be a gaming club member is $35 for joining and $20 per month.

f(x) = 35 + 20x

Write in function notation:
She hiked 17 miles each day of her trip.

f(x) = 17x

For f(x) = 3x - 2, find f(5)

f(5) = 13

For f(x) = x/4, find f(100)

f(100) = 25

For f(x) = -2x + 7, find f(10)

f(10) = -13

For f(x) = 2.5x + 3, find f(6)

f(6) = 18

For f(x) = -5x - 7, find f(4)

f(4) = -27

For f(x) = -5x - 7, find f(-1)

f(-1) = -2

For f(x) = -2x + 7, find f(1)

f(1) = 5

For f(x) = 3x - 2, find f(-4)

f(-4) = -14

Find the Range for the given Domain:
f(x) = 10x + 1 D: {-1, 0, 1}

R: {-9, 1, 11}

Find the Range for the given Domain:
f(x) = -5x - 2 D: {-2, 0, 2}

R: {8, -2, -12}

Find the Range for the given Domain:
g(x) = x/2 + 1 D: {-4, 0, 8}

R: {-1, 1, 5}