Question

Consider the following.
f(x) =

−7x + 8, −1 ≤ x ≤ 1
x2, 1 < x ≤ 4
Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation, Identify any discontinuities, and If the function has any discontinuities, identify the conditions of continuity that are not satisfied? Can somebody help?

Answer 1

check f(1)
right limit when x--->1
left limit when x----->1
they are equal
so f(x) is continous