Cubic (Leaving Cert Mathematics): Quizzes

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Cubic
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10 questions from this quiz

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What is the degree of a cubic function?

3

Which is the general form of a cubic function?

f(x)=ax3+bx2+cx+df(x)=ax^3+bx^2+cx+d

In f(x)=ax3+bx2+cx+df(x)=ax^3+bx^2+cx+d, what condition must aa satisfy?

a≠0a \ne 0

How many turning points can a cubic graph have?

One or two

What is the maximum number of times a cubic can cross the xx-axis?

Three

If a>0a>0, how does the cubic graph behave?

Rises from −∞-\infty to +∞+\infty

If a<0a<0, where does the cubic graph start from?

+∞+\infty on the left

What are the roots of a cubic function?

Where f(x)=0f(x)=0

A cubic can have one real root and how many complex roots?

Two

What is the maximum number of real roots a cubic can have?

Three

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