Let f(x) = begincases cx2 +2x, textif x

Question

Let f(x) = begincases cx2 +2x, textif x< 2 2x +4, textif x ge 2 endcases If the function f is continuous on (-∞, ∞), then the value of c is equal to (A) 4 (B) 2 (C) 3 (D) 1

Tardigrade Admin · Accepted Answer

LHL = RHL ⇒ 4 C+4=8 ⇒ 4 C=4 ⇒ C=1

Q. Let $f (x) = {c x^{2} + 2 x, 2 x + 4, if x < 2 if x \geq 2$ If the function $f$ is continuous on $(- \infty, \infty)$ , then the value of $c$ is equal to

4

2

3

1

5

$L H L = R H L$
$\Rightarrow 4 C + 4 = 8$
$\Rightarrow 4 C = 4$
$\Rightarrow C = 1$

Q. Let f(x)={cx2+2x,2x+4,​if x<2 if x≥2 ​ If the function f is continuous on (−∞,∞), then the value of c is equal to

4

2

3

1

5

LHL=RHL ⇒4C+4=8 ⇒4C=4 ⇒C=1

Q. Let $f (x) = {c x^{2} + 2 x, 2 x + 4, if x < 2 if x \geq 2$ If the function $f$ is continuous on $(- \infty, \infty)$ , then the value of $c$ is equal to

$L H L = R H L$
$\Rightarrow 4 C + 4 = 8$
$\Rightarrow 4 C = 4$
$\Rightarrow C = 1$