5) (8 pts total)for the graph below, identify the critical points. list all intervals of increasing…

5) (8 pts total)for the graph below, identify the critical points. list all intervals of increasing, decreasing, and/or constant. then, identify the domain and range. absolute min: (-2,-7) absolute max: (2,1) (8,1) relative min(s): relative max(s): (-7,1) increasing: (-2,2) ∪ (-2,1) decreasing: (2,-2) constant: none domain: ____ range: ____
Answer
Explanation:
Step1: Identify domain from x - values
The left - most x - value of the graph is approximately $x=-2$ and the right - most is approximately $x = 8$. The domain is the set of all possible x - values. So, the domain is $[-2,8]$.
Step2: Identify range from y - values
The lowest y - value of the graph is approximately $y=-7$ and the highest is approximately $y = 1$. The range is the set of all possible y - values. So, the range is $[-7,1]$.
Answer:
Domain: $[-2,8]$ Range: $[-7,1]$