Advanced Functions (MHF4U) · Polynomial Functions

Graphing Polynomial Functions

30 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest, every one with a full worked solution. Work through all 30 with your weekly-lesson access code.

Start the 30 questions Curriculum: MHF4U-PF.4

Sample: the first question, solved

Which best describes the shape of f(x)=x⁵ near the origin?

📘 Worked solution
Like x³, f(x)=x⁵ is an odd-power function passing through the origin with an S-shaped curve, increasing throughout near x=0.

And one from the hard end

"For f(x)=(x+1)(x−2)²(x−4), find all x-intercepts with multiplicities, describe behavior at each, and end behavior (degree 4, positive leading coefficient)."

Solution shown after you try it in practice mode.

Work through all 30, easiest to hardest

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