the entire graph of the function f is shown in the figure below. write the domain and range of f using…
the entire graph of the function f is shown in the figure below. write the domain and range of f using interval notation.
Answer
Explanation:
Step1: Identify domain from x - values
The left - most x - value of the graph is $x=-1$ (closed - circle, included) and the right - most x - value is $x = 3$ (open - circle, not included).
Step2: Write domain in interval notation
The domain is $[-1,3)$.
Step3: Identify range from y - values
The lowest y - value of the graph is $y=-5$ (open - circle, not included) and the highest y - value is $y = 5$ (closed - circle, included).
Step4: Write range in interval notation
The range is $(-5,5]$.
Answer:
domain: $[-1,3)$ range: $(-5,5]$