Regarding the relative maximums and relative minimums of the functions, we have that:
8. Functions h(x) and k(x) have relative maximums.
9. f(x) has one relative maximum and g(x) has two relative maximums.
What are the relative minimums and relative maximums in a function f(x)?
- A relative minimum in a function f(x) is a value of x at which the function changes from decreasing to increasing.
- A relative maximum in a function f(x) is a value of x at which the function changes from increasing to decreasing.
In item 8, we want relative maximums, hence points in which the functions change from increasing to decreasing, hence the functions that have it are: h(x) and k(x).
In item 9, we have that:
- Function f(x) has a relative maximum.
- Function g(x) has two relative maximums and one relative minimum.
Hence the sentence is:
f(x) has one relative maximum and g(x) has two relative maximums.
More can be learned about relative maximums and relative minimums at https://brainly.com/question/28309909
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