Question

graph the equation by plotting points.
$y = 3\sqrt{x}$
plot four points on the graph of the function: the leftmost point and three a...

Explanation:

Step1: Identify domain leftmost point

The square root function $\sqrt{x}$ is defined for $x \geq 0$, so the leftmost $x$-value is $0$.
Calculate $y$: $y = 3\sqrt{0} = 0$
Point: $(0, 0)$

Step2: Choose x=1, compute y

Substitute $x=1$ into the equation.
$y = 3\sqrt{1} = 3\times1 = 3$
Point: $(1, 3)$

Step3: Choose x=4, compute y

Substitute $x=4$ into the equation.
$y = 3\sqrt{4} = 3\times2 = 6$
Point: $(4, 6)$

Step4: Choose x=9, compute y

Substitute $x=9$ into the equation.
$y = 3\sqrt{9} = 3\times3 = 9$
Point: $(9, 9)$

Answer:

The four points are:

1. Leftmost point: $(0, 0)$
2. $(1, 3)$
3. $(4, 6)$
4. $(9, 9)$

To graph, plot these points on the coordinate grid and draw a smooth curve through them starting at $(0, 0)$ and extending rightward.