Graphs 6
3 marks · NormalThe graph of is shown below.
Explain what happens to the value of as approaches zero from the positive side, and as becomes very large.
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.
Show answer
Must show: Explains y increases without bound as x approaches 0 from positive side, Explains y approaches 0 as x becomes very large
Common mistakes: Stating y = 0 at x = 0; Confusing the behavior for negative x
Show mark scheme and worked solution
Marking points
B1 · 1 mark · States that as x approaches 0 from positive side, y increases (tends to infinity).
B2 · 1 mark · States that as x becomes very large, y approaches 0.
B3 · 1 mark · Describes the asymptotic behavior correctly for both cases.
Worked solution
As approaches 0 from the positive side, becomes very large, moving towards infinity. As becomes very large (increases without bound), approaches 0 from the positive side.