Question

sketch a graph by completing the table and plotting the points.
$p(x) = 2\sqrt{x}$

part 1 of 2

complete the table below.

$x$	$p(x)$
1	$\square$
4	$\square$
9	$\square$
16	$\square$

Explanation:

Step1: Substitute \( x = 0 \)

Substitute \( x = 0 \) into \( p(x)=2\sqrt{x} \). We get \( p(0)=2\sqrt{0}=2\times0 = 0 \).

Step2: Substitute \( x = 1 \)

Substitute \( x = 1 \) into \( p(x)=2\sqrt{x} \). We get \( p(1)=2\sqrt{1}=2\times1 = 2 \).

Step3: Substitute \( x = 4 \)

Substitute \( x = 4 \) into \( p(x)=2\sqrt{x} \). We get \( p(4)=2\sqrt{4}=2\times2 = 4 \).

Step4: Substitute \( x = 9 \)

Substitute \( x = 9 \) into \( p(x)=2\sqrt{x} \). We get \( p(9)=2\sqrt{9}=2\times3 = 6 \).

Step5: Substitute \( x = 16 \)

Substitute \( x = 16 \) into \( p(x)=2\sqrt{x} \). We get \( p(16)=2\sqrt{16}=2\times4 = 8 \).

Answer:

For \( x = 0 \), \( p(x)=0 \); for \( x = 1 \), \( p(x)=2 \); for \( x = 4 \), \( p(x)=4 \); for \( x = 9 \), \( p(x)=6 \); for \( x = 16 \), \( p(x)=8 \). So the table values (from top to bottom) are \( 0, 2, 4, 6, 8 \).