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1.  Domain = [-4,6]

2.  Range = [-1,8]

3.  f(3) = -1

Step-by-step explanation:

1.

Domain is the set of x-values for which the function is defined.

We need to look at the graph and see from which x value to which x value the function is defined.

We see that from x = -4 to x = 6, the function is defined.

Interval Notation:

Looking at the graph, x = -4 and x = 6 are both included. So the domain is:

Domain = [-4,6]

2.

This graph is same graph as the first question but it asks for the range.

The range is the set of y-values for which the function (graph) is defined.

Looking at the graph, we see that it is defined from y = -1 to y = 8

Both the endpoints are closed circle, so we use brackets to write the range.

Range = [-1,8]

3.

This is the same f(x) graph.

We want the value of f(3).

The notation f(3) means the y-value we get if we plug in 3 into x. From graph, how do we understand f(3)?

We simply look at x = 3 and see the corresponding value of the graph at y. When we see at x = 3, we see that graph has a point at y = -1. Hence,

f(3) = -1

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