This set of points is on the graph of a function.

Mathematics

1 answer:

Liula [17]3 years ago

7 0

If (a, b) is on the graph of a function f(x), then (b, a) is on the graph of the inverse.

We have points on the graph of a function: {(-3, 9), (-1, 1), (0, 0), (2, 4)}.

The points on the graph of the inverse: {(9, -3), (1, -1), (0, 0), (4, 2)}.

<h3>Answer: (4, 2), (0, 0), (1, -1).</h3>

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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
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This implies that, when
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Therefore
$f( - 1) = 2$
See graph.