Mathematics for IGCSE & O level - Sketching Curves (Section 1 - No. 26)
Which of the following is a characteristic of the graph of y = 1/x + 2?
An asymptote at y = 2
An asymptote at x = 0
A y-intercept at (0,2.5)
It's a straight line.
Explanation
The graph is a reciprocal graph shifted up by 2. Therefore, it has asymptotes at x=0 and y=2. The y intercept occurs when x=0, which is undefined (infinity).
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