Question

Determine the value of k such that f(x)=x+k is continuous when x=2.
Thanks for helping.

Answer 1

To solve: 
Substitute 2 for x in both rules and set results equal to each other.
$2(2)^2=2+k$

Solve the equation.
$2(4)=2+k$
$8=2+k$
$6=k$