Mathematics 4024 · O Level · Exponential growth and decay

Exponential growth and decay — practice question

(a)[1]

Complete the table for the function $y = \frac{4}{5} \times 2^x$.

(b)[3]

On the grid, draw the graph for $y = \frac{4}{5} \times 2^x$ over $-3 \le x \le 3$.

(c)[2]

By drawing a tangent, estimate the gradient of $y = \frac{4}{5} \times 2^x$ at $x = 2$.

(d)[1]

Use your graph to estimate the value of $x$ that solves $4 \times 2^x = 5$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: The answer is $0.1$.

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