Mathematics for IGCSE & O level - Sketching Curves (Section 1 - No. 22)
Which of the following statements are true about the general cubic function (Select all that apply)
It can have up to three x-intercepts.
It is always symmetrical about the y-axis.
It has at least one x-intercept.
It always increases as x increases.
Explanation
Cubic functions can cross the x-axis up to three times, and must cross it at least once. The general cubic function is symmetrical, but the symmetry may not always be along the y-axis.
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