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.

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic

x=0

step-by-step explanation: