Advanced Functions (MHF4U) · Characteristics Functions

Increasing/Decreasing Intervals and Function Behavior

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-CF.5

Sample: the first question, solved

For f(x)=x²−4, on which interval is the function increasing?

📘 Worked solution
The parabola opens upward with vertex at x=0, so the function is increasing for x>0.

And one from the hard end

For f(x)=x⁴−4x³, with f′(x)=4x²(x−3), critical points occur at x=0 and x=3. Describe the function's complete increasing/decreasing behavior across both critical points.

Solution shown after you try it in practice mode.

Work through all 30, easiest to hardest

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