use the graph to determine\na. open intervals on which the function is increasing, if any.\nb. open…
use the graph to determine\na. open intervals on which the function is increasing, if any.\nb. open intervals on which the function is decreasing, if any.\nc. open intervals on which the function is constant, if any.\na. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\no a. the function is increasing on the interval(s) \n(type your answer in interval notation. use a comma to separate answers as needed.)\no b. there is no interval on which the function is increasing.
Answer
Explanation:
Step1: Understand increasing - function concept
A function is increasing when as (x) increases, (y) also increases.
Step2: Analyze the graph
Looking at the graph, we see that as (x) moves from (- 1) to (5), the (y) - values of the function are getting larger.
Step3: Write the interval
The open interval where the function is increasing is ((-1,5)).
Step4: Understand decreasing - function concept
A function is decreasing when as (x) increases, (y) decreases.
Step5: Analyze the graph for decreasing part
As (x) moves from (-5) to (-1), the (y) - values of the function are getting smaller. The open interval where the function is decreasing is ((-5,-1)).
Step6: Understand constant - function concept
A function is constant when (y) does not change as (x) changes.
Step7: Analyze the graph for constant part
There are no intervals on this graph where the function is constant.
Answer:
a. A. The function is increasing on the interval(s) ((-1,5)) b. The function is decreasing on the interval(s) ((-5,-1)) c. There is no interval on which the function is constant.