Which of the following could be an example of a function with a range (-∞, a] and a domain [b, ∞) where a < 0 and b < 0?

A. ƒ (x) = √ (x-a) + b

B. ƒ (x) = 3√ (x-b) + a

C. ƒ (x) = - 3√ (x+a) - b

D. ƒ (x) = - √ (x+b) - a ... ?

Question

Mathematics

Ralphie

20 April, 06:13

Which of the following could be an example of a function with a range (-∞, a] and a domain [b, ∞) where a < 0 and b < 0?

A. ƒ (x) = √ (x-a) + b

B. ƒ (x) = 3√ (x-b) + a

C. ƒ (x) = - 3√ (x+a) - b

D. ƒ (x) = - √ (x+b) - a ... ?

+2

Answers (1)

Know the Answer?

Summer Hunt · Answer 1

The answers are

B. ƒ (x) = 3√ (x-b) + a for [b, ∞)

proof

B. ƒ (x) = 3√ (x-b) + a for [b, ∞)

the domain is x-b>=0 implies x>=b it is the same of x is element of [b, ∞)

Which of the following could be an example of a function with a range (-∞, a] and a domain [b, ∞) where a < 0 and b < 0?A. ƒ (x) = √ (x-a) + bB. ƒ (x) = 3√ (x-b) + aC. ƒ (x) = - 3√ (x+a) - bD. ƒ (x) = - √ (x+b) - a ... ?

Which of the following could be an example of a function with a range (-∞, a] and a domain [b, ∞) where a < 0 and b < 0?

A. ƒ (x) = √ (x-a) + b

B. ƒ (x) = 3√ (x-b) + a

C. ƒ (x) = - 3√ (x+a) - b

D. ƒ (x) = - √ (x+b) - a ... ?