Graphs 6
2 marks · EasyThe graph of has an asymptote on the y-axis.
State the equation of this asymptote, and calculate the value of when .
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
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The asymptote is x = 0. For y = 4, x = 3. (±0)
Must show: Asymptote x = 0, x = 3 for y = 4
Also accept: Asymptote: x = 0. x = 3 when y = 4
Common mistakes: Giving y = 0 as asymptote (this is the horizontal one); Calculating x = 48 or 1/4
Show mark scheme and worked solution
Marking points
B1 · 1 mark · States the equation of the vertical asymptote is x = 0.
A1 · 1 mark · Solves 4 = 12/x to find x = 3.
Worked solution
The equation is undefined when . So the asymptote is .
So the answer is: asymptote at ; when .