Sketching Polynomials (Edexcel A-Level Mathematics): Quizzes

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Sketching Polynomials
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10 questions from this quiz

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How many turning points does a cubic polynomial (degree 3) have at most?

Up to 2 turning points

Where does a positive quartic graph start and end?

Top left to top right

A cubic with negative x3x^3 coefficient starts and ends where?

Top left to bottom right

To find the yy-intercept of a polynomial, what value do you substitute?

x=0x = 0

How does a curve behave at a double root on the xx-axis?

Touches & turns around

What happens to a curve at a triple root?

Flattens at the xx-axis

What is the graph of y=x3y = x^3 like at the origin?

Flat at origin

What are asymptotes?

Lines graph approaches but never touches

The graph y=1x2y = \frac{1}{x^2} has how many separate curves?

Two separate curves

What is the graph of y=xy = \sqrt{x} like at the origin?

Vertical at origin

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