Intro to Functions REVIEW

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.

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)

Is this table a function or not a function? 

• Function
• Not a Function

The graph represents a height (y) vs. time (x) of an object. Which scenario best matches the graph?

• A plane takes off, flies at a certain altitude, then lands.

• A plane taxis on the run way, lifts off, ascends to a certain altitude, and flies for a while.

• A plane takes off, ascends to an altitude and flies for a while, then ascends to another altitude, and flies for a while.

• A plane taxis on the run way, lifts off, ascending to a certain altitude, flies for a while, ascends to a higher altitude, and flies at the new altitude.

Carly went for a walk and jog.

*She started walking.

*After a few minutes, Carly began jogging at a faster speed than she was walking.

*Carly then got tired and slowed down to a slower speed than she was jogging.

Which graph best represents the distance Carly went?

• 
• 
• 
• 

A pizzeria charges $12 per pizza plus an additional $3 for delivery. Which equation represents the cost of having any number of pizzas delivered?

• c(p) = 12p + 3

• c(p) = 12p

• c(p) = 3p

• c(p) = 12 + 3p

A plumber charges a service fee of $40 plus $25 per hour for labor.

(A) Write a function for the total cost of hiring the plumber for a job that takes x hours.

(B) How much would it cost to hire the plumber for a job that takes 4 hours?

• (A) c(x) = 40 + 25x

  (B) $140

• (A) c(x) = 40x + 25

  (B) $185

• (A) c(x) = 40 + 25x

  (B) $185

• (A) c(x) = 40x + 25

  (B) $140

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

Jon charges $20 dollars an hour to build a fence. What is the independent variable.

• total charge

• hours

• fence posts

Write the following in function notation.

Attorney A charges a fixed fee on $250 for an initial meeting and $150 per hour for all hours worked after that.

• f(x)=250x + 150

• f(x) = 150x + 250

• f(x) = 150x - 250