1. Functions/Domain/Range
Chapter 5
Functions/Domain/Range

2. Which set of ordered pairs does not represent a function? i) ii) iii)
iv)
A function assigns exactly one value to each input
(each value of x can only have one value of y)

3. Function Not a Function Not a Function Not a Function
2. Which of these graphs represents a function?
i) ii)
iii) iv)
Function
Not a Function
Not a Function
Not a Function

4. 3. For the function , determine
4. For the function , determine x when

5. 5. This is a graph of the function
5. This is a graph of the function Determine the range value when the domain value is 2.
Domain = x
Range = y
Range value = -1

6. 6. For a service call, an electrician charges a $65 flat fee, plus $45 for every 30 min worked. Determine the rate of change of this linear relation.
Rate of Change = $90 per hour
(cost goes up $90 for each hour)

7. 7. This graph represents a 150-L hot-water tank being filled at a constant rate. Determine the rate of change of the relation.
Rate of Change =
150 – 75
50 – 25 = 75 25 = =
3 L/min

8. 8. Joshua went on a bike ride
8. Joshua went on a bike ride. During the ride, he stopped to play at a park, as shown by line segment CD. How much time did Joshua spend at the park?
95 – 45
= 50 min

9. (-, ) or x = All Real Numbers [-1, ) or y ≥ -1
9. State whether the following are functions or not, and state the domain and range. Use No
Yes
Is it a function? _____________ Is it a function? _____________
Domain: __________________ Domain: ___________________
Range: ____________________ Range: ____________________
(-, ) or x = All Real Numbers
[-1, ) or y ≥ -1

10. Yes Yes [-5, ) or x ≥ -5 [-4, ) or x ≥ -4 y = 2
9. State whether the following are functions or not, and state the domain and range. Use
Yes
Yes
Is it a function? _____________ Is it a function? _____________
Domain: __________________ Domain: ___________________
Range: ____________________ Range: ____________________
[-5, ) or x ≥ -5
[-4, ) or x ≥ -4
y = 2