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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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104 prompts matching "functions"

Show all working: full function exam question with three parts

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a fu

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Function machines as an introduction to function notation

I am in SS 3. Teach me using the idea of a 'function machine' with an input and output to

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Finding an unknown constant in a function from a given value

I'm going to explain finding an unknown constant a or b in a function such as f(x) = ax +

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Composite function domain restriction check

I attempted an Additional Maths question on checking whether a composite function fg(x) is

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Structured question: composite function with a restricted domain

Set me a structured question where a function has a restricted domain to make it one-to-on

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Quiz me on function notation

Quiz me on reading and evaluating function notation such as f(3), fg(2), and f^-1(5) for g

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Spot my mistake finding an inverse function

I will show you my working for finding the inverse of a function. Check whether I correctl

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Find the range of values command word: increasing function

I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the

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Structured question: three linked function sub-questions

I am in SS 3. Give me a structured question with three parts on the same pair of functions

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Show that command word: a function is its own inverse

I am in SS 3. Set me a 'show that' function question where I must show a given function is

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Structured question: composite function domain restriction

I am in SS 3. Give me a structured question where the composite function fg(x) is undefine

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Structured question: stating the domain of the inverse of a fractional function

You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a

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WAEC Prep: Differentiating the square root of a function

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through differentiating th

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WAEC Prep: The chain rule for a function of a function

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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WAEC Prep: The greatest and least values of a function in a closed interval

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the greatest and l

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WAEC Prep: Integrating a derivative to recover the original function

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through integrating a deri

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Final Revision: Sketching the graph of a logarithmic function

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Final Revision: Checking a symmetric-function answer by solving the equation outright

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Common Mistakes: A symmetric function needing the sum and product twice over

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a s

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Final Revision: Using a symmetric function to find an unknown coefficient

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of u

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