f(x) = x^2 for x 2. For which a and b is f continuous everywhere?

Continuity & Differentiability · Question 54 of 125

Question 54

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$f(x) = x^{2}$ for $x < 1$ , $f(x) = ax + b$ for $1 \le x \le 2$ , and $f(x) = x + 5$ for $x > 2$ . For which $a$ and $b$ is $f$ continuous everywhere?

a = 6,\ b = -5

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a = -5,\ b = 6

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a = 2,\ b = -1

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a = 6,\ b = 7

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CorrectNot quiteAnswer A

Correct answer: A

Worth noting

$a = 2,\ b = -1$ joins only at $x = 1$ .

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

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