Mathematics 9709 · AS & A Level · Logarithmic and exponential functions

Logarithmic and exponential functions — practice question

(a)[2]

On one set of axes, sketch the graphs of $y = x + 3$ and $y = |2x - 1|$.

(b)[3]

Solve for $x$ in $x + 3 = |2x - 1|$.

(c)[2]

Find the value of $y$ such that $5^{2y} + 3 = |2 \times 5^{2y} - 1|$. Give your answer correct to $3$ significant figures.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Draw a V-shaped graph using straight lines, with its vertex on the positive $x$-axis.

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