Graphs 6
2 marks · EasyThe graph of is drawn for .
Explain what happens to the value of as gets larger and larger.
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
As x increases, y gets smaller and approaches 0 but never reaches it.
Must show: Mentions decrease in y as x increases, Mentions y approaches 0 (asymptote)
Also accept: y decreases towards zero as x gets bigger; y gets close but never reaches zero
Common mistakes: Saying y becomes negative; Saying y increases
Show mark scheme and worked solution
Marking points
B1 · 1 mark · States that y decreases (gets smaller) as x increases.
B2 · 1 mark · States that y approaches (but never reaches) zero/asymptote at y = 0.
Worked solution
As increases, becomes smaller. Eventually, gets closer and closer to 0, but never actually becomes 0 no matter how large becomes.