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nikki225
02.01.2020 •
Mathematics
Suppose f(x) is a function such that if p < q, f(p) < f(q). which statement best describes f(x)?
a.) -f(x) can be odd or even.
b.) -f(x) can be odd but cannot be even.
c.) -f(x) can be even but cannot be odd.
d.) -f(x) cannot be odd or even.
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Ответ:
option B is correct.
Step-by-step explanation:
we are given that for any p<q
f(p)<f(q)
this clearly implies that f is an increasing function.
Now we know that if f is an increasing function then -f is always an decreasing function and vice-versa.
so here -f(x) will be an decreasing function.
Let us consider a example f(x)=x then f(x) is clearly an increasing function.
and -f(x)= -x is an decreasing function. also it is an odd function but not an even function.
so option B holds.
Ответ:
Increasing/decreasing functions can't be even, but can be odd, so it's B.
Ответ: