1.12: Restricted quadratic and inverse sketch

0606/12/O/N/20 — Question 6 · 5 marks

f(x)=x2+2x−3f(x) = x^{2} + 2x - 3 for x⩾−1x \geqslant -1.
(a)
Given that the minimum value of x2+2x−3x^{2} + 2x - 3 occurs when x=−1x = -1, explain why f(x)f(x) has an inverse.
[1]
(b)
On the axes below, sketch the graph of y=f(x)y = f(x) and the graph of y=f−1(x)y = f^{-1}(x). Label each graph and state the intercepts on the coordinate axes.
[4]