esenting relationships\nwhich intervals show ( f(x) ) increasing? choose two correct answers.\n( -2.5,-1.6)…
esenting relationships\nwhich intervals show ( f(x) ) increasing? choose two correct answers.\n( -2.5,-1.6) )\n( (-1.6,0 )\n( 0,0.8) )\n( -2,-1 )\n( (0.8,2) )
Answer
Explanation:
Step1: Analyze the graph
A function ( y = f(x) ) is increasing on an interval if, as ( x ) increases, ( y ) also increases. Visually, this means the graph rises from left - to - right on that interval.
Step2: Check each interval
- For the interval ([-2.5,-1.6)): The graph is decreasing (since it goes down from left - to - right in this interval).
- For the interval ((-1.6,0]): The graph is increasing (it goes up from left - to - right).
- For the interval ([0,0.8)): The graph is increasing (it goes up from left - to - right).
- For the interval ([-2,-1]): Since ([-2,-1]\subseteq[-2.5,-1.6)), and we know ([-2.5,-1.6)) is a decreasing interval, this sub - interval is also decreasing.
- For the interval ((0.8,2)): The graph is decreasing (it goes down from left - to - right).
Answer:
((-1.6,0]) and ([0,0.8))