# Suppode f(x)=cx^2+2x,if x<2.and 2x+4,if x>=2. f(x) is continuous on(-∞,∞).Then the value of c is?

Jun 22, 2018

$c = 1$

#### Explanation:

We know that on a graph continuity is when you don’t have to pick up the pen during the entire drawing. Therefore, we would need the two functions to be equal at $x = 2$

${2}^{2} c + 4 = 2 \left(2\right) + 4$

$4 c = 4$

$c = 1$

Hopefully this helps!