the x - values, if any, where f has a relative maximum. the value(s), if any, of the relative maximum(s) of…

the x - values, if any, where f has a relative maximum. the value(s), if any, of the relative maximum(s) of f. the x - values, if any, where f has a relative minimum. the value(s), if any, of the relative minimum(s) of f. the x - value(s) at which the function has a relative maximum is/are: one or more solutions: no solution the relative maximum/maxima are: one or more solutions:
Answer
Explanation:
Step1: Recall relative - maximum concept
A relative maximum occurs where the function changes from increasing to decreasing.
Step2: Analyze the graph
Looking at the graph, the function changes from increasing to decreasing at (x=- 1).
Step3: Find the relative - maximum value
When (x = - 1), the (y) - value of the function is (-4).
Step4: Recall relative - minimum concept
A relative minimum occurs where the function changes from decreasing to increasing.
Step5: Analyze the graph for relative - minimum
The function changes from decreasing to increasing at (x=-3).
Step6: Find the relative - minimum value
When (x=-3), the (y) - value of the function is (-6).
Answer:
The (x) - value(s) at which the function has a relative maximum is/are: (x=-1) The relative maximum/maxima are: (y = - 4) The (x) - value(s) at which the function has a relative minimum is/are: (x=-3) The relative minimum/minima are: (y=-6)