Mathematics 0580 · IGCSE · Graphs of functions

Graphs of functions — practice question

The diagram presents the graph of y = f(x) for $-2.5 \le x \le 2$.
(a)[1]

Find the value of f(1).

(b)[1]

Solve the equation f(x) = 3.

(c)[2]

The equation f(x) = k has only one solution for $-2.5 \le x \le 2$. State the set of values of k for which this can happen.

(d)[3]

By drawing an appropriate straight line, solve the equation f(x) = x - 5.

(e)[3]

Draw a tangent to the graph of y = f(x) at the point where x = 1. Use your tangent to estimate the gradient of y = f(x) when x = 1.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: $-1.6$ to $-1.4$

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