y = f(x) choose all answers that apply: a -4.5 < x < -4 b -0.5 < x < 0 c 1 < x < 2

Explanation:

Step1: Observe the graph for increasing - decreasing intervals

The function (y = f(x)) is increasing when the slope of the tangent line to the curve is positive, i.e., as (x) increases, (y) also increases.

Step2: Analyze each option

• For option A: In the interval (-4.5<x < - 4), as (x) increases (moves from left - to - right in this interval), the (y) - values of the function are increasing.
• For option B: In the interval (-0.5<x<0), as (x) increases, the (y) - values of the function are increasing.
• For option C: In the interval (1 < x<2), as (x) increases, the (y) - values of the function are increasing.

Answer:

A. (-4.5 < x < -4), B. (-0.5 < x < 0), C. (1 < x < 2)