## Exam-Style Question on Functions## A mathematics exam-style question with a worked solution that can be revealed gradually |

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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