The graph of
Calculus, SPEC2 2021 VCAA 1
Let
- Express
in the form , where , an are real constants. (1 mark)
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- State the equation of the asymptotes of the graph of
. (2 marks)
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- Sketch the graph of
on the set of axes below. Label the asymptotes with their equations, and label the maximum turning point and the point of inflection with their coordinates, correct to two decimal places. Label the intercepts with the coordinate axes. (3 marks)
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- Let
, where is a real constant. - i. For what values of
will the graph of , have two asymptotes? (2 marks)
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- ii. Given that the graph of
has more than two asymptotes, for what values of will the graph of have no stationary points? (2 marks)
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Show Answers Only
-
- i.
- ii.
Show Worked Solution
a.
b.
♦ Mean mark part (c) 48%.
c.
d.i.
♦♦ Mean mark part (d)(i) 24%.
d.ii.
♦♦♦ Mean mark part (d)(ii) 16%.
Algebra, SPEC2 2020 VCAA 7 MC
For non-zero constants
Algebra, SPEC1 VCE SM-Bank 7
Given that
where
Algebra, SPEC1 VCE SM-Bank 4
Find
Algebra, SPEC1 VCE SM-Bank 1
Find numbers
Algebra, SPEC2-NHT 2017 VCAA 5 MC
Given that
A.
B.
C.
D.
E.
Algebra, SPEC2 2018 VCAA 3 MC
Which one of the following, where
A.
B.
C.
D.
E.