Question

6 multiple choice 1 point the table includes values of a square root function.

x	y
4	4
9	6
16	8

which function is represented by the table?

• $y = \frac{1}{2}\sqrt{x}$
• $y = \sqrt{2x}$
• $y = \sqrt{x}$
• $y = 2\sqrt{x}$

Explanation:

Step1: Test first option with x=1

$y=\frac{1}{2}\sqrt{1}=\frac{1}{2}
eq 2$

Step2: Test second option with x=1

$y=\sqrt{2\times1}=\sqrt{2}\approx1.41
eq 2$

Step3: Test third option with x=1

$y=\sqrt{1}=1
eq 2$

Step4: Test fourth option with x=1

$y=2\sqrt{1}=2$, which matches.

Step5: Verify fourth option with x=4

$y=2\sqrt{4}=2\times2=4$, which matches.

Step6: Verify fourth option with x=9

$y=2\sqrt{9}=2\times3=6$, which matches.

Step7: Verify fourth option with x=16

$y=2\sqrt{16}=2\times4=8$, which matches.

Answer:

$y = 2\sqrt{x}$