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Increasing & Decreasing Functions · Question 31 of 74

Question 31

EasyOriginal question

Find the interval(s) on which f(x)=x2−6x+4f(x) = x^{2} - 6 x + 4 is strictly increasing.

Options for question 31

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. f′(x)=2x−6f'(x) = 2 x - 6, which is 0 at x=3x = 3.

  2. f′(x)>0f'(x) > 0 on (3,∞)(3, \infty).

Worth noting

For a>0a > 0 the parabola opens up, so it falls first and rises after x=3x = 3.

Concept
Increase and decrease of a quadratic
Typical time
60 s
Your time
—
The rule this testsFinding the intervals
Practise this chapter →

Ten questions from Increasing & Decreasing Functions, at your own pace.

Practise this chapter →

Ten questions from Increasing & Decreasing Functions, at your own pace.