Answer:
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:
- If the endpoints are included (closed circle), we use brackets ( "[" or "]" )
- If the endpoints are not included (open circle), we use parenthesis ( "(" or ")" )
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
