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

Continuity & Differentiability · Question 37 of 125

Question 37

MediumOriginal question

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

\frac{5}{4}

Correct answerYour answer

\frac{5}{2}

Correct answerYour answer

5

Correct answerYour answer

10

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Worth noting

5 sets $2k = 10$ , forgetting that $x^{2}$ is 4 at $x = 2$ .

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

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