Functions/Domain/Range Chapter 5 Functions/Domain/Range

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)

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

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

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. 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. 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. 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

(-, ) 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

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