Questions: Graphs and Functions Domain and range from the graph of a continuous function The entire graph of the function g is shown in the figure below. Write the domain and range of g using interval notation. (a) domain = (b) range =

Graphs and Functions
Domain and range from the graph of a continuous function

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

Transcript text: Graphs and Functions Domain and range from the graph of a continuous function The entire graph of the function $g$ is shown in the figure below. Write the domain and range of $g$ using interval notation. (a) $\quad$ domain $=$ $\square$ (b) $\quad$ range $=$ $\square$

Solution

Solution Steps

Step 1: Find the domain

The domain is the set of all possible x-values. The graph starts at $x = -3$ and ends at $x = 2$. The circle at $x = -3$ is open, so -3 is not included in the domain. The circle at $x=2$ is also open, so 2 is not included in the domain. Therefore, the domain is $(-3, 2)$.

Step 2: Find the range

The range is the set of all possible y-values. The graph starts at $y = -4$ and ends at $y = 5$. The circle at $y = -4$ is open, so -4 is not included in the range. The graph includes $y = 5$. Therefore, the range is $(-4, 5]$.