Question

The piecewise defined function f(x) is graphed below. What is the value of f(2)?


f(2) = –2
f(2) = –1
f(2) = 4
f(2) is undefined

Answer 1

Answer:

f(2) = -1

Step-by-step explanation:

Looking at the graph, there appears to be two points at x = 2.  However, looking more closely, we see that the point (2, 4) is empty; this means the graph goes up to this point but does not hit this point.

The point (2, -1) is filled in; this means the graph hits this point.

Step-by-step explanation:

Answer 2

The value of f(2) on the graph of the piecewise function is -1

How to determine the value of f(2)?

From the graph of the piecewise function, we have the following highlights

When x = 2, the function has corresponding values at y = 4 and y = -1

However, the graph has an open circle at y = 4 and a closed circle at y = -1

Closed circles show inclusiveness

This means that the actual value of f(2) on the graph is -1

Hence, the value of f(2) on the graph of the piecewise function is -1

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