emmaraeschool
12.12.2019 •
Mathematics
Which of the following could be an example of a function with a domain [a,∞) and a range (-∞,b] where a > 0 and b > 0?
a)f(x)= √x+a -b
b) f(x)= -√x-a +b
c)f(x)= 3√x+a -b
d) f(x)= ^3√(x-b) +a
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Ответ:
Step-by-step explanation:
We are given a few functions in options and we have to choose from them that has the domain [a,∞) and range (-∞,b].
Now, for domain i.e. the value of x ≥ a.
Therefore, the value of y must be a function of
So, there is only one function ............ (1), that has the term in it.
Now, for x = a, the value of f(x) becomes b and for x = ∞ the function f(x) value becomes -∞.
Therefore, the range of the function will be (-∞,b] i.e. y ≤ b.
Hence, the required function is . (Answer)
Ответ:
thus, the correct statement is hb = hb'