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

Continuity & Differentiability · Question 39 of 125

Question 39

MediumOriginal question

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

3

Correct answerYour answer

4

Correct answerYour answer

5

Correct answerYour answer

6

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Worth noting

5 is the right-hand value; the left piece still has its $x^{2} = 1$ to account for.

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

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