Mathematics for IGCSE & O level - Graphs Of Functions (Section 4 - No. 32)
In the equation y = a/x, the graph will not intersect the axes. Why?
Because the x-axis and y-axis are both asymptotes.
Because the graph is a straight line.
Because the graph has no roots.
Because the graph is an upside-down U-shape.
Explanation
The x and y axes serve as asymptotes, meaning that the graph approaches them but never touches them.
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