# Exam-Style Question on Functions

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 63. This question is similar to one that appeared on an IB Standard paper in 2014. The use of a calculator is not allowed.

The diagram shows the graph of $$y=f(x)$$, for $$-3\le x \le 4$$.

The graph passes through the point (4,0.65).

(a) Find the value of $$f(-2)$$;

(b) Find the value of $$f^{-1}(0)$$;

(c) Find the domain of $$f^{-1}$$.

(d) Sketch the graph of $$f^{-1}$$.

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