Mathematics 0580 · IGCSE · Exponential growth and decay

Exponential growth and decay — practice question

The table gives several values for $y = 2 \times 0.5^x - 1$.
(a(i))[2]

Complete the table by filling in the missing values.

(a(ii))[4]

On the grid, sketch the graph of $y = 2 \times 0.5^x - 1$ for $-1 \leq x \leq 2$.

(b)[3]

By drawing an appropriate straight line, solve the equation $2 \times 0.5^x + 2x - 3.5 = 0$ for $-1 \leq x \leq 2$.

(c)[2]

Complete the following statements. The highest possible value of $k$ is ... The equation of the asymptote to the graph of $y = 2 \times 0.5^x - 1$ is ...

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: $1, -0.5$

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