Question

On the graph shown, what is f(-1)? (5 points) The first segment joints the point negative three comma five exclusively and negative two comma three inclusively. The second segment joints the point negative two comma two exclusively and two comma two inclusively. The last segment joints the point two comma two inclusively and three comma zero exclusively.

Answer 1

ANSWER

$f( - 1) = 2$

EXPLANATION

The given function is a piecewise defined function.

$f( - 1)$
is the y-value that corresponds to
$x = - 1.$

To determine that y-value, we need to trace from
$x = - 1$
to where it meets the graph.

We then trace to the y-axis to determine the corresponding y-value as shown in the diagram.

From the graph, we can see that this x-value corresponds to a y-value of
$2$

This implies that, when
$x = - 1,y = 2$

Therefore
$f( - 1) = 2$
See graph.