Determine if the following are functions

1. 1 Determine if the following are functions no yes

2. 2 State domain and range of the function below: D: (-, ) R: [-1, ) (1, -1)

3. 3 Write the relation shown in the mapping as a set of ordered pairs. {(0, 6), (1, 1), (-4, 0), (4, 1)}

4. 4 State domain and range of the function below: D: [0, 3] R: [-6, 5]

5. 5 Determine whether this relation is a function. Then state the domain and range. {(1, 4), (2, 3), (3, -6), (-3, 6)} Yes, it’s a function D: {-3, 1, 2, 3} R: {-6, 3, 4, 6}

6. 6 Given that Find: a) f(-3) b) f(x + 2) = 3 = x2 + 6x + 8

7. 7 Given that f(x) = 2x -10 = -4 a) evaluate: f(3) b) solve f(x) = 32 x= 21

8. 8 y x Express as amapping for the domain {-1, 0, 1, 2, 3}. -1 0 1 2 3 -3 -2 1 6

9. 9 Represent the function y = 2x2 – 5, where xis an element of {–2, –1, 0, 1, 2, 3} by a mapping diagram. y x -2 -1 0 1 2 3 -5 -3 3 13

10. 10 Write the relation shown in the mapping as a set of ordered pairs. {(4, 3, )(4, 8), (1, 7), (-8, 1), (2, 1), (2, 3)}

11. 11 For a small car hire company charges €22 per day plus 13 cents for each kilometer , d, driven. • (a) Find the total cost, C, of hiring a car for a day if you travel • (i) 50km • (ii) 300km. • Find the equation connection the variables. • (c) Using your equation find how many kilometers you traveled if your bill was €47. € 28.50 € 61 C = 22 + 0.13d 192.31 km

12. 12 At Jumbo’s Burger Bar, Jumbo burgers cost £J each and regular cokes cost £C each. Two Jumbo burgers and three regular cokes cost £5.95. Write an equation to show this. (b) If one Jumbo Burger costs £2.15, what is the cost, in pence, of one regular coke? 2J + 3C = 5.95 55 pence

13. 13 Are the following graphs functions? yes no

14. 14 State the Domain and Range {(-5,0) , (3,0) , (14, 1) , (2006, 1)} D: {-5, 3, 14, 2006} R: {0, 1}

15. 15 Are the following functions? T={(-1,1), (2,1), (4,-1), (5,2) A={(a,c), (b,d), (e,f), (a,h)} yes no

16. 16 y x Express the data below as a graph and a mapping -2 -1 1 3 -4 -2 -1 1 4