a. Plot the graph of the function f(x) = 4 x 2 for values of x

Question:

a. Plot the graph of the function f(x) = 4 − x2 for values of x such that 0 ≤ x ≤ 3. Use the same scale on both axes.

b. Find the values of f–1(−5), f–1(0), f–1(3) and f–1(4).

c. Sketch y = f(x), y = f–1(x) and y = x on the same axes. Use the range −6 to +6 for both axes.

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