For which value of k is f(x) = 3e^x + k if x ≤ 0; x + 7 if x > 0 continuous at x = 0?

Continuity & Differentiability · Question 43 of 125

Question 43

MediumOriginal question

For which value of $k$ is $f(x) = \begin{cases} 3e^{x} + k, & x \le 0 \\ x + 7, & x > 0 \end{cases}$ continuous at $x = 0$ ?

4

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6

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7

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10

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CorrectNot quiteAnswer A

Correct answer: A

Worth noting

7 forgets that $3e^{0} = 3$ is already on the left.

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

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