domain and range from the graph of a continuous function. the entire graph of the function g is shown in the…

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. domain: range: (□,□) □,□ (□,□ □,□) ∅ □∪□ ∞ -∞

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. domain: range: (□,□) □,□ (□,□ □,□) ∅ □∪□ ∞ -∞

Answer

Explanation:

Step1: Identify domain from graph

The graph of the function $g$ starts at $x = - 4$ (open - circle) and ends at $x=1$ (open - circle). So the domain is all $x$ values in between. The domain in interval notation is $(-4,1)$.

Step2: Identify range from graph

The graph of the function $g$ has a maximum value of $y = 4$ and a minimum value of $y=-5$ (both open - circles). So the range is all $y$ values in between. The range in interval notation is $(-5,4)$.

Answer:

domain: $(-4,1)$ range: $(-5,4)$