Question

The graph of the function f(x) is shown below.

Part A: Using interval notation, state the domain and range of the function.
Part B: In two or more complete sentences, describe the specific characteristics of the function’s graph that led to your answer in Part A.

Answer 1

Part A: [-3,5)

Part B: First of all, domain is the set of all x-values. -3 is the smallest x-value of this graph, and since it's a closed circle, you represent it with a bracket. 5 is the largest x-value, but it's and open circle so you use a parentheses to represent it.

Answer 2

Explanation:

Given is a graph of the function f(x)

From the function we can see that the function starts from x=-3 and continuous till it reaches 5.

Thus since domain is all possible values x can take

domain = [-3,5)

Range is all the possible values f(x) can take.

Here we find that minimum value is -1 and maximum value is 3 and in between all points are covered

So range is [-1,3]