4. where is f(x) both negative and decreasing? (1,2) only (-∞,-2.5) only (-∞,-2.5) and (1,2) (-3,-2.5) only
4. where is f(x) both negative and decreasing? (1,2) only (-∞,-2.5) only (-∞,-2.5) and (1,2) (-3,-2.5) only
Answer
Explanation:
Step1: Recall function properties
A function is negative when its graph is below the (x -)axis and decreasing when the slope of the graph is negative (going down - hill from left - to - right).
Step2: Analyze the graph
By observing the graph, we see that the function (y = f(x)) is below the (x -)axis (negative) and has a negative slope (decreasing) in the intervals ((-\infty,- 2.5)) and ((1,2)).
Answer:
((-\infty,-2.5)) and ((1,2))