power, root, exponential, and logarithmic functions quiz\nuse the graph to answer the question.\ndescribe…

Explanation:

Step1: Recall the definition of continuity

A function (y = f(x)) is continuous at a point (x = a) if (\lim_{x\rightarrow a^{-}}f(x)=\lim_{x\rightarrow a^{+}}f(x)=f(a)). Discontinuities occur when this condition is not met.

Step2: Analyze the graph

Looking at the graph, there are points where the left - hand limit, right - hand limit, and the function value do not match. For example, at the points with open and closed circles, the function has breaks.

Answer:

The function is discontinuous. There are points (such as where the open and closed circles are) where the left - hand limit, right - hand limit, and the function value are not equal.