Mathematics 0580 · IGCSE · Graphs of functions

Graphs of functions — practice question

The table lists some values of $y = 2x + \frac{1}{x} - 3$ for $0.125 \leq x \leq 3$.
(a)[3]

Fill in the table.

(b)[4]

On the grid, sketch the graph of $y = 2x + \frac{1}{x} - 3$ for $0.125 \leq x \leq 3$.

(c)[3]

Use your graph to solve $2x + \frac{1}{x} - 3 \geq 2$.

(d(i))[2]

State the equation of this straight line.

(d(ii))[3]

Draw the straight line and solve $\frac{1}{x} = 7 - 3x$.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: $x=0$

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