1. State whether the mappings below represent functions. Give reasons
for your answer.
a. {(8, 1), (5, 3), (2, −1), (−1, −3) }
b.
[4 marks]
2. () =
2 + 4 () = 3 − 1
a. Find (2)
b. Find (−3)
c. Calculate (1) + (0)
d. Calculate (−2) − (3 − )
e. Solve () = 5
f. Solve () = −4
[12 marks]
3. a) State the domain of ℎ() = √
9−
2, using interval notation.
b) What value(s) are excluded from the domain of () =
5−2
2−4
c) State the domain of () = 5 −
2
, give a reason for your answer.
d) Draw a sketch of the graph of () = 5 −
2
for the domain −2 ≤
≤ 4 using the desmos graphing calculator.
e) Write the domain using interval notation [, ).
f) Find the range from your graph and write it in the form (, ]
g) Hence, evaluate − d