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: Understand increasing function
A function $y = f(x)$ is increasing when as $x$ increases, $y$ also increases.
Step2: Analyze intervals
- For $[-2.5,-1.6)$: As $x$ increases from $- 2.5$ to $-1.6$, $y$ decreases from $0$ to $-56$, so it's decreasing.
- For $[-2,-1]$: Since $[-2,-1]\subset[-2.5,-1.6)$, it's also decreasing.
- For $(-1.6,0)$: As $x$ increases from $-1.6$ to $0$, $y$ increases from $-56$ to $0$, so it's increasing.
- For $[0,0.8)$: As $x$ increases from $0$ to $0.8$, $y$ increases from $0$ to $114$, so it's increasing.
- For $(0.8,2)$: As $x$ increases from $0.8$ to $2$, $y$ decreases from $114$ to $0$, so it's decreasing.