Question

graph (y = x^3 - 2) by plotting points.

complete the ordered pairs in the table below.

\

$$\begin{tabular}{|c|c|} \\hline \\(x\\) & \\((x,y)\\) \\\\ \\hline \\(-1\\) & \\square \\\\ \\hline \\(0\\) & \\square \\\\ \\hline \\(1\\) & \\square \\\\ \\hline \\(2\\) & \\square \\\\ \\hline \\end{tabular}$$

(simplify your answer. type ordered pairs.)

Explanation:

⚡ Using what you learned: evaluating functions

Step 1: Evaluate for \( x = -1 \)

Substitute \( x = -1 \) into the equation \( y = x^3 - 2 \):

$$ y = (-1)^3 - 2 $$

$$ y = -1 - 2 = -3 $$

Ordered pair: \( (-1, -3) \)

Step 2: Evaluate for \( x = 0 \)

Substitute \( x = 0 \) into the equation:

$$ y = (0)^3 - 2 $$

$$ y = 0 - 2 = -2 $$

Ordered pair: \( (0, -2) \)

Step 3: Evaluate for \( x = 1 \)

Substitute \( x = 1 \) into the equation:

$$ y = (1)^3 - 2 $$

$$ y = 1 - 2 = -1 $$

Ordered pair: \( (1, -1) \)

Step 4: Evaluate for \( x = 2 \)

Substitute \( x = 2 \) into the equation:

$$ y = (2)^3 - 2 $$

$$ y = 8 - 2 = 6 $$

Ordered pair: \( (2, 6) \)

Answer:

The completed table of ordered pairs is:

\( x \)	\( (x, y) \)
\( 0 \)	\( (0, -2) \)
\( 1 \)	\( (1, -1) \)
\( 2 \)	\( (2, 6) \)