Questions: The entire graph of the function f is shown in the figure below. Write the domain and range of f using interval notation. (a) domain = (b) range =

Transcript text: The entire graph of the function $f$ is shown in the figure below. Write the domain and range of $f$ using interval notation. (a) domain = $\square$ (b) range $=$ $\square$

Solution

Solution Steps

Step 1: Find the Domain

The domain of a function is the set of all possible x-values. The graph starts at $x=-3$ with a closed circle and ends at $x=2$ with an open circle. So, the domain includes -3 and goes up to, but does not include, 2.

Step 2: Write the domain in interval notation

The domain in interval notation is $[-3, 2)$.

Step 3: Find the Range

The range of a function is the set of all possible y-values. The lowest y-value on the graph is -4 with a closed circle and the highest is 5 with a closed circle.

Step 4: Write the range in interval notation

The range in interval notation is $[-4, 5]$.