For which value of k is f(x) = 3x - k if x < 4; k/2x if x ≥ 4 continuous at x = 4?

Continuity & Differentiability · Question 52 of 125

Question 52

HardOriginal question

For which value of $k$ is $f(x) = \begin{cases} 3x - k, & x < 4 \\ \frac{k}{2}x, & x \ge 4 \end{cases}$ continuous at $x = 4$ ?

3

Correct answerYour answer

4

Correct answerYour answer

6

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12

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Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Worth noting

12 sets $3 \times 4 = k$ , leaving out the $-k$ on the left.

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

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