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Flip to reveal answersWhat is a sketch (versus a precise plot)?
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All 10 Flashcards — Sketching graphs
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Question
What is a sketch (versus a precise plot)?
Answer
A sketch shows the correct SHAPE plus the KEY FEATURES labelled — not every point plotted exactly.
Question
What key features should a sketch show?
Answer
Axis intercepts, turning points (max/min), asymptotes, and correct end-behaviour — each labelled.
Question
How do you find the y-intercept?
Answer
Set x = 0.
Question
How do you find the x-intercepts (zeros)?
Answer
Set y = 0 and solve (factor, formula, or GDC).
Question
How do you tell which way a parabola opens?
Answer
From the leading coefficient: a > 0 opens up (minimum), a < 0 opens down (maximum).
Question
What is an asymptote and how is it drawn?
Answer
A line the curve approaches but doesn't reach — drawn as a dashed guide line.
Question
Where is the vertical asymptote of a rational function?
Answer
Where the denominator equals zero.
Question
On Paper 2, how do you sketch a hard function?
Answer
Graph it on the GDC, then transfer the shape to paper with intercepts, turning points and asymptotes labelled (values read off the GDC).
Question
Does a sketch need to be to scale?
Answer
Not exact, but key points must be in the right relative positions and labelled with their values.
Question
Sketch features of y = 1/(x − 2) + 1?
Answer
Vertical asymptote x = 2, horizontal asymptote y = 1, two branches approaching them.
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Topic 2.3 hub
Graphing
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