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Answer:

The answer is A and C

Step-by-step explanation:

I couldn't believe I guessed it right!!! E d g e n u i t y 2020

Answer: A and C are true.

A) [tex]f\left(x\right)=2\sqrt{x}\ \ and\ \ f\left(x\right)=\sqrt{x}[/tex] both has domain and range = [0, ∞). So A is true.

B) [tex]f\left(x\right)=-2\sqrt{x}[/tex] has range = (-∞, 0] and [tex]\ f\left(x\right)=\sqrt{x}[/tex] has range = [0, ∞). So B is false.

C) Both [tex]\ f\left(x\right)=-\sqrt{x}\ and\ \ f\left(x\right)=\sqrt{x}[/tex] has domain = [0, ∞).

Range of [tex]\ f\left(x\right)=\sqrt{x}[/tex] is =  [0, ∞).

Range of [tex]f\left(x\right)=-\sqrt{x}[/tex] is = (-∞, 0]

So range are different. C is true.

D) Both [tex]f\left(x\right)=\frac{1}{2}\sqrt{x}\ and\ \ f\left(x\right)=\sqrt{x}[/tex] has range = [0, ∞).

So D is false.

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