Question

use a graph to solve the inequality.\\(x^2 - x - 12 > 0\\)\
graph the equation \\(y = x^2 - x - 12\\) by plotting points. complete the following table.\

\\(x\\)	-2	-1	0	1	2	\
---	---	---	---	---	---	\
\\(x^2 - x - 12\\)	-6	-10	\\(\square\\)	\\(\square\\)	\\(\square\\)

Explanation:

Step1: Calculate for x=0

Substitute \( x = 0 \) into \( y = x^2 - x - 12 \).
\( y = 0^2 - 0 - 12 = -12 \).

Step2: Calculate for x=1

Substitute \( x = 1 \) into \( y = x^2 - x - 12 \).
\( y = 1^2 - 1 - 12 = 1 - 1 - 12 = -12 \).

Step3: Calculate for x=2

Substitute \( x = 2 \) into \( y = x^2 - x - 12 \).
\( y = 2^2 - 2 - 12 = 4 - 2 - 12 = -10 \).

Answer:

For \( x = 0 \), \( x^2 - x - 12 = -12 \); for \( x = 1 \), \( x^2 - x - 12 = -12 \); for \( x = 2 \), \( x^2 - x - 12 = -10 \).
(Completing the table: when \( x = 0 \), value is \(-12\); \( x = 1 \), value is \(-12\); \( x = 2 \), value is \(-10\).)