which intervals show f(x) increasing? choose two options. -2.5, -1.6) -2, -1 -1.6, 0 0, 0.8) (0.8, 2)
which intervals show f(x) increasing? choose two options. -2.5, -1.6) -2, -1 -1.6, 0 0, 0.8) (0.8, 2)
Answer
Answer:
C. (-1.6, 0), D. [0, 0.8)
Explanation:
Step1: Recall increasing - function concept
A function (y = f(x)) is increasing on an interval if for any two points (x_1) and (x_2) in the interval with (x_1<x_2), we have (f(x_1)<f(x_2)).
Step2: Analyze the graph
Looking at the graph of (y = f(x)), we see that as (x) moves from (-1.6) to (0), the (y) - values of the function are getting larger. Also, as (x) moves from (0) to (0.8), the (y) - values of the function are getting larger.
Step3: Check each option
- For the interval ([-2.5,-1.6)), the function is decreasing.
- For the interval ([-2,-1]), the function is decreasing.
- For the interval ((-1.6,0)), the function is increasing.
- For the interval ([0,0.8)), the function is increasing.
- For the interval ((0.8,2)), the function is decreasing.