the function h(x) is graphed below. it has domain (-∞, ∞). find all the x - value(s) of the relative maxima…
the function h(x) is graphed below. it has domain (-∞, ∞). find all the x - value(s) of the relative maxima of h(x). if there is more than one value, enter the values as a comma - separated list. if there are none, enter none. x = find all the x - value(s) of the relative minima of h(x). if there is more than one value, enter the values as a comma - separated list. if there are none, enter none. x =
Answer
Explanation:
Step1: Recall definition of relative maxima
A relative maximum occurs where the function changes from increasing to decreasing.
Step2: Observe the graph
Looking at the graph of (y = h(x)), we see it changes from increasing to decreasing at (x = 1).
Step3: Recall definition of relative minima
A relative minimum occurs where the function changes from decreasing to increasing.
Step4: Observe the graph for minima
The function changes from decreasing to increasing at (x=-2) and (x = 0).
Answer:
For relative maxima: (x = 1) For relative minima: (x=-2,0)