Question

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?

Answer 1

`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`

`2^2c+4 =2(2)+4`

`4c = 4`

`c = 1`

Hopefully this helps!