Mathematics 0580 · IGCSE · Graphs of functions

Graphs of functions — practice question

(a)[1]

Put a ring around the word that correctly names the type of function: reciprocal, quadratic, cubic, exponential, linear.

(b(i))[2]

On the diagram, sketch the curve of $y = \frac{1}{2x}$, $x \ne 0$.

(b(ii))[2]

Solve the equation $\frac{1}{2x} = 2x$ for $x$.

(c(i))[2]

On the diagram, sketch the curve $y = \sin x$ for $0^{\circ} \le x \le 360^{\circ}$.

(c(ii))[3]

Solve the equation $3\sin x + 1 = 0$ on the interval $0^{\circ} \le x \le 360^{\circ}$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct identification is Cubic

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI