Mathematics 4024 · O Level · Sketching curves

Sketching curves — practice question

(a)[4]

Draw the graph of $y = 2^x$ on the grid below for $0 \le x \le 4$.

(b(i))[2]

By drawing a tangent, estimate the gradient at $x = 0.5$ for the curve.

(b(ii))[1]

Use the graph to estimate the solution of the equation $\frac{1}{2x^2} + 3x = 2$.

(b(iii))[4]

By drawing a suitable line on the grid, estimate the solutions of the equation $\frac{1}{2x^2} = 7 - 4x$.

Worked solution & mark scheme

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