Mathematics 0580 · IGCSE · Graphs of functions

Graphs of functions — practice question

The diagram displays the graph of $y=f(x)$ for $x$ values from $-3$ up to $3$.
(a(i))[1]

Use the graph to determine $f(2)$.

(a(ii))[3]

Use the graph to solve the equation $f(x)=5$.

(a(iii))[1]

The equation $f(x)=k$ has exactly two solutions. Write down the value of $k$.

(a(iv))[1]

Select the correct word from the box to complete the sentence. The line $x=0$ is the ................ to the graph of $y=f(x)$.

(b(i))[2]

On the grid, sketch the graph of $y=x-2$ for $x$ values between $-3$ and $3$.

(b(ii))[1]

Determine $x$ for which $f(x)=x-2$.

(c)[2]

Use the graph to demonstrate that $c=2$.

(d)[2]

Find the values of $p$ and $q$.

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