For which value of k is f(x) = kx + 3 if x ≤ 1; x^2 + 4 if x > 1 continuous at x = 1?

Continuity & Differentiability · Question 31 of 125

Question 31

EasyOriginal question

For which value of $k$ is $f(x) = \begin{cases} kx + 3, & x \le 1 \\ x^{2} + 4, & x > 1 \end{cases}$ continuous at $x = 1$ ?

-2

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1

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2

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5

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Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Worth noting

1 makes the pieces equal at $x = 0$ , not at the joining point $x = 1$ .

Ten questions from Continuity & Differentiability, at your own pace.

Ten questions from Continuity & Differentiability, at your own pace.