Which of the following could be an example of a function with a domain [a, infinity) and a range [b, infinity) where a >0 and b>0? Answer choices: A) f (x) = 3√x+a - b B) f (x) = √x-a + b C) f (x) = 3√ (x-b) + a D) f (x) = √x+a - b

Question

Mathematics

Matthias Carter

6 July, 22:04

Which of the following could be an example of a function with a domain [a, infinity) and a range [b, infinity) where a >0 and b>0? Answer choices: A) f (x) = 3√x+a - b B) f (x) = √x-a + b C) f (x) = 3√ (x-b) + a D) f (x) = √x+a - b

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Answers (2)

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Aleah Petersen · Answer 1

The parent function here is √x. It has domain and range [0, ∞). Translating its "vertex" from (0, 0) to (a, b) will give it the desired domain and range. The translated function with the desired domain and range is ...

B) f (x) = √ (x-a) + b

Wayne Ayers · Answer 2

apex answer: f (x) = - sqrt x-b + a