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Topic 2.3Math AA SL SL10 flashcards

Graphing

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Card 1 of 102.3.1
2.3.1
Question

What is a sketch (versus a precise plot)?

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All Flashcards in Topic 2.3

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2.3.110 cards

Card 1concept
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.

Card 2concept
Question

What key features should a sketch show?

Answer

Axis intercepts, turning points (max/min), asymptotes, and correct end-behaviour — each labelled.

Card 3concept
Question

How do you find the y-intercept?

Answer

Set x = 0.

Card 4concept
Question

How do you find the x-intercepts (zeros)?

Answer

Set y = 0 and solve (factor, formula, or GDC).

Card 5concept
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).

Card 6concept
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.

Card 7concept
Question

Where is the vertical asymptote of a rational function?

Answer

Where the denominator equals zero.

Card 8concept
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).

Card 9concept
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.

Card 10concept
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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IB Math AA SL SL Topic 2.3 Flashcards | Graphing | Aimnova | Aimnova