Use the graph of f in the figure to find the following values or state that they do not exist. If a limit does not exist, explain why. <IMAGE>


a. f(1)

Key Concepts

Function Evaluation

Function evaluation involves determining the output of a function for a specific input value. In this case, f(1) means finding the value of the function f at x = 1. This requires understanding the function's definition or its graphical representation to identify the corresponding y-value.

Limits

A limit describes the behavior of a function as the input approaches a certain value. It is crucial for understanding continuity and the existence of function values at specific points. If a limit does not exist, it may be due to a discontinuity, such as a jump or vertical asymptote in the graph.

Graphical Interpretation

Graphical interpretation involves analyzing the visual representation of a function to extract information about its behavior. This includes identifying points of interest, such as intercepts, maxima, minima, and discontinuities, which are essential for answering questions about function values and limits.