Question

graph the function.
$f(x)=sqrt3{x - 1}$
plot five points on the graph of the function, as follows.

• plot the first point using the x - value that satisfies $sqrt3{x - 1}=0$.
• plot two points to the left and two points to the right of the first point.

then click on the graph - a - function button.

Explanation:

Step1: Find the first - point x - value

Set $\sqrt[3]{x - 1}=0$. Cubing both sides gives $x−1 = 0$, so $x = 1$. When $x = 1$, $y=\sqrt[3]{1 - 1}=0$. The first point is $(1,0)$.

Step2: Find points to the left

Let $x=0$, then $y=\sqrt[3]{0 - 1}=- 1$. The point is $(0, - 1)$.
Let $x=-7$, then $y=\sqrt[3]{-7 - 1}=\sqrt[3]{-8}=-2$. The point is $(-7,-2)$.

Step3: Find points to the right

Let $x = 2$, then $y=\sqrt[3]{2 - 1}=1$. The point is $(2,1)$.
Let $x = 9$, then $y=\sqrt[3]{9 - 1}=\sqrt[3]{8}=2$. The point is $(9,2)$.

Answer:

The five points are $(1,0),(0, - 1),(-7,-2),(2,1),(9,2)$