Question 1 (CAS FREE)
Let π: [0, β) β π , π(π₯) = βπ₯ + 1
a. State the range of f.
b. Let π: (ββ, π] β π , π(π₯) = π₯2 + 4π₯ + 3. Find the largest value of c for which the
composite function : π(π(π₯)) is defined.
c. Evaluate: π(π(β10))
d. Determine the range of π(π(π₯)).
e. Let β: π β π , β(π₯) = βπ₯2 + 3 . Determine the range of the composite function: π(β(π₯))
ASSIGNMENT ON CHAPTER 1
Question 2 (CAS FREE)
The rule for the function h is β(π₯) = 2π₯3 + 1. Find the rule for the inverse function ββ1
Question 3 (CAS Free)
If the function π has the rule: π(π₯) = βπ₯2 β 9 and the function g has the rule π(π₯) = π₯ + 5,
a. find integers c and d such that : π(π(π₯)) = β(π₯ + π)(π₯ + π)
b. Determine the maximal domain of π(π(π₯))
Question 4 (CAS FREE)
Let π: π + β π , π(π₯) =1
π₯2
a. Find π(π₯) = π(π(π₯))
b. Evaluate πβ1(16) where πβ1 is the inverse function of π.
Question 5 (CAS FREE)
Question 6 (CAS FREE)
Question 7 (CAS FREE)
MULTIPLE CHOICE (For all Multiple Choice Questions, CAS is allowed)
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8
Question 9
Question 10
Question 11
Question 12
Question 13
Question 14