Mathematics P1 R19
Optimisation and Rates of Change
Turn a word problem into one equation, differentiate it to find the maximum or minimum, and interpret rates of change in real units.
14 min · beginner · certificate
Mathematics P1 Step 6 of 11 beginner
Functions: Turning Points, Intercepts, Range and Inverses
Read a parabola or exponential graph properly — intercepts, turning point, asymptotes, domain and range — and find an inverse without guessing.
By the end, you can
find the key features of quadratic and exponential graphs and determine an inverse function.
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Functions: Turning Points, Intercepts, Range and Inverses
QUEST MATH-P1-FUNCTIONS
A graph is a set of facts
Every sketch question asks for the same handful of things: where the graph crosses the axes, where it turns, where it cannot go, and what happens at the edges. 📉
Learn that checklist and you can sketch a function you have never seen before, because the questions do not change — only the equation does.
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What you'll cover
- 1 A graph is a set of factsfree preview above
- 2 Intercepts, first and always
- 3 The turning point
- 4 Domain and range
- 5 Exponential graphs
- 6 Inverses
- 7 A sketching checklist
- 8 The challenge
- 9 What to take with you
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Functions: Turning Points, Intercepts, Range and Inverses
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Next on the Mathematics P1 path · step 7 of 11
Geometric Sequences and Infinite Series
13 min · R19
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Functions: Turning Points, Intercepts, Range and Inverses: questions
How long does Functions: Turning Points, Intercepts, Range and Inverses take?
About 14 minutes: 9 short lessons, 2 quick checks and a 5-question final challenge. Your progress is saved after every step, so you can stop and carry on later.
How much does Functions: Turning Points, Intercepts, Range and Inverses cost?
R19, paid securely online, or 19 learning credits from your wallet. You pay once: if you don’t pass the challenge, you try again at no extra cost.
What do I need to pass?
4 out of 5 on the final challenge (80%). The quick checks along the way help you learn and do not count towards your mark.
Is the certificate accredited?
No. A MicroQuest is informal learning. Your certificate proves you completed it and has a number and QR code anyone can verify, but it is not an accredited qualification or SETA/QCTO credits, and it says so.
Can I do it on my phone?
Yes. Tap Start to learn in your phone’s browser, or send QUEST MATH-P1-FUNCTIONS to 076 263 6000 on WhatsApp. It is the same MicroQuest and the same certificate either way.
Functions: Turning Points, Intercepts, Range and Inverses
R19 · 14 min · certificate