Mathematics for IGCSE & O level - Graphs Of Functions (Section 1 - No. 40)
Which of the following are correct regarding the graph of the cubic equation y = x³ - 1?
The graph intersects the y-axis at -1.
The graph has a vertex.
The graph has no asymptotes.
The graph is symmetric about the origin.
Explanation
The graph crosses the y-axis when x=0; y= -1. The graph of y=x³ is symmetric about the origin. x³ has no vertex. y=x³-1 has no asymptotes.
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