Mathematics for IGCSE & O level - Sketching Curves (Section 4 - No. 32)
Which of the following is true regarding the graph of \(y=x^3-x\)?
The graph has a minimum and a maximum value.
The graph is symmetrical about the y-axis.
The graph passes through the origin.
The graph does not cross the x-axis.
Explanation
The graph of \(y=x^3-x\) passes through the origin because when x=0, y=0.
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