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NSW · Maths Extension 1
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§-Quick questions
NSWMaths Extension 1Functions (ME-F1, ME-F2)

Quick questions on Graphing polynomials: leading-term behaviour, intercepts and root multiplicity

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is end behaviour from the leading term?
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For large ∣x∣|x|, a polynomial behaves like its leading term anxna_n x^n.
What is root multiplicity?
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If (x−a)m(x - a)^m is a factor of P(x)P(x), then aa is a root of multiplicity mm, and the multiplicity decides exactly how the curve meets the x-axis there.
What is y-intercept?
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Set x=0x = 0 to find the y-intercept, which is the constant term of the polynomial.

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