Question

sketch a graph by completing the table and plotting the points. \\( g(x) = 2\sqrt{x} \\) \
part: 0 / 2 \
part 1 of 2 \
complete the table below: \

x	g(x)	\
---	---	\
0	0	\
1	2	\
4	4	\
9	6	\
16	8	\

part: 1 / 2 \
part 2 of 2 \
to graph the function, plot the points. then select the graph icon. \
(graph grid and plotting tools shown)

Explanation:

Step1: Identify x-values

The table has x-values: 0, 1, 4, 9, 16.

Step2: Calculate p(x) for each x

For \( x = 0 \): \( p(0)=2\sqrt{0}=0 \)
For \( x = 1 \): \( p(1)=2\sqrt{1}=2 \)
For \( x = 4 \): \( p(4)=2\sqrt{4}=4 \)
For \( x = 9 \): \( p(9)=2\sqrt{9}=6 \)
For \( x = 16 \): \( p(16)=2\sqrt{16}=8 \)

Step3: Plot the points

Plot \((0,0)\), \((1,2)\), \((4,4)\), \((9,6)\), \((16,8)\) on the coordinate plane. These points lie on the curve of \( y = 2\sqrt{x} \), which is a square - root function scaled by 2, starting at the origin and increasing slowly as \( x \) increases.

Answer:

The table is completed with \( p(x) \) values 0, 2, 4, 6, 8 for \( x = 0,1,4,9,16 \) respectively, and the points \((0,0)\), \((1,2)\), \((4,4)\), \((9,6)\), \((16,8)\) are plotted to graph \( y = 2\sqrt{x} \).