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Mathematics Worksheet
📈 Exponential Functions
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Evaluate exponential functions.Identify growth versus decay from the base.Understand the base and initial value.Recognise the initial value as f(0).📚 Quick Recap
An exponential function has its variable in the exponent rather than the base — modeling explosive growth or decay, from compound interest to population change to radioactive decay.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1For f(x) = 3·2x, f(4) = ?
2For f(x) = 100·(0.9)x, f(1) = ?
3f(x) = 25·(1.2)x is:
4f(x) = 40·(0.75)x is:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5In f(x) = a·bx, the value a is the value.
6If b > 1 the function shows .
7For f(x) = 3·2x, find f(4).
8For f(x) = 100·(0.9)x, find f(1).
9Is f(x) = 25·(1.2)x growth or decay?
🚀 Section C · Challenge ● CHALLENGE 5
10Is f(x) = 40·(0.75)x growth or decay?
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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✂ answer key — fold or cut before handing out
1-A 2-A 3-A 4-B | 5 initial 6 growth 7 = 48 8 = 90 9 = Growth (1.2 > 1) | 10 = Decay (0 < 0.75 < 1)