A graph showing left continuity at x = 1, and right continuity at x = -2 is attached
Reason the attached graph is correct:
A function is left continuous at point a if we have [tex]\mathbf{\lim_{x \to a^-} f(x)} = f(a)[/tex]
Therefore, as the x-value of the function tend to a⁻ from the left, (the right endpoint of the interval of continuity), the y-value tends to f(a) and the function is said to be left continuous at right end of the interval, with
Similarly, a function is said to be right continuous at point a if we have [tex]\mathbf{\lim_{x \to a^+} f(x)} = f(a)[/tex]
Therefore, the function is right continuous at the left endpoint of the interval
A function is only left continuous at x = 1, if 1 is the right endpoint of the continuity interval, and a function is only right continuous at x = -2, if -2 is the left endpoint of the continuity interval
Please find attached a graph that shows left continuity at x = 1, and right continuity at x = -2
Learn more about left and right continuity here:
https://brainly.com/question/21447009
