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Maths vegas functions_review
1.
Each person starts
with £20 Each question you must decide your stake (Min £1, Max £20) Then answer the question. Get it right, I add your stake to your pot. Get it wrong, you lose your stake.
2.
Question 1 The function
f(x) = is defined for x ≥ 0 Find f(2) 4 1 2 +x
3.
Question 2 The function
g(x) = is defined for 0 ≤ x ≤ 2 Find g(2) 2 4 x−
4.
Question 3 The function
f(x) = is defined for x ≥ 0 The function g(x) = is defined for 0 ≤ x ≤ 2 Find fg(1) 4 1 2 +x 2 4 x−
5.
Question 4 The function
f(x) = is defined for x ≥ 0 The function g(x) = is defined for 0 ≤ x ≤ 2 Find fg(x) 4 1 2 +x 2 4 x−
6.
Question 5 The function
f(x) = is defined for x ≥ 0 Find f-1 (x) 4 1 2 +x
7.
Question 6 The function
g(x) = is defined for 0 ≤ x ≤ 2 Find g-1 (x) 2 4 x−
8.
Question 7 The function
g(x) = is defined for 0 ≤ x ≤ 2 What is the domain and range of the function? 2 4 x−
9.
Question 8 The function
f(x) = is defined for x ≥ 0 What is the domain and range of the function? 4 1 2 +x
10.
Question 9 The function
f is given as f(x) = Evaluate f(5) 3−x
11.
Question 10 The function
f is given as f(x) = Evaluate f(-2) 3−x
12.
Question 11 The function
f is given as f(x) = Sketch the graph of y= 3−x 3−x
13.
Question 12 The function
f is given as f(x) = Solve the inequality <2 3−x 3−x
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