Which of the following statements are true? Check all of the boxes that apply.

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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