Question

For the equation y = x^3+1. (a) create a table with ordered pairs that are solutions of the equation, and (b) graph the equation.(a) Complete the following table of ordered pairs that are solutions of the equation.The ordered pairs in the table are complete. I need help graphing

Answer 1

Solution

Step 1:

Write the equation

$\text{y = x}^3\text{ + 1}$

Step 2:

Find the x and y intercept

To find x-intercept, plug y = 0

$\begin{gathered} y\text{ = x}^3+1 \\ \text{0 = x}^3+\text{ 1} \\ x^3\text{ = -1} \\ \text{x = }\sqrt[3]{-1} \\ \text{x = -1} \\ x-intercept\text{ = -1} \end{gathered}$

To find y-int, plug x = 0

$\begin{gathered} y\text{ = x}^3+\text{ 1} \\ \text{y = 0}^3+\text{ 1} \\ y-intercept\text{ = 1} \end{gathered}$

Graph