Which describes $f(x) = 5$ on $[1, 3]$ ?

Strictly increasingCorrect answerYour answerBoth increasing and decreasing, but neither strictlyCorrect answerYour answerStrictly decreasingCorrect answerYour answerNeither increasing nor decreasingCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

For $x_1 < x_2$ , $f(x_1) = f(x_2) = 5$ , so both $f(x_1) \le f(x_2)$ and $f(x_1) \ge f(x_2)$ hold.
It is never strictly so: a strict change needs $f(x_1) < f(x_2)$ or $f(x_1) > f(x_2)$ .

Worth noting

'Neither' forgets that the definitions of increasing and decreasing allow equal values.

Concept: A constant function
Typical timeTypical: 60 s
Your timeYours: —

The rule this testsIncreasing and decreasing on an interval

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

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

Practise this chapter All 74 questions in Increasing & Decreasing Functions Revise the notes for Increasing & Decreasing Functions

Which describes f(x)=5f(x) = 5f(x)=5 on [1,3][1, 3][1,3]?

Explanation

Which describes $f(x) = 5$ on $[1, 3]$ ?