For what value of k will the function f be continuous on (−∞, ∞)? f(x) =

x + 3 if x ≤ 1
kx2 if x > 1

4

(Hopefully x2 means x^2. That's what I read it as.)

Step-by-step explanation:

We need the relation to match the same number on both sides at x=1.

So we need

x+3=kx^2 for x=1

1+3=k(1)^2

4=k

The function is continuous when k=4.

the final function for the graph becomes x-2=-1. before graphing you solve the equation, where x=1. then graph accordingly.   ( on the x-axis, 1 on the line will possess a vertical line.)