Need help w/ pre-calculus summer packet.
I know my title isn't very descriptive, but there are 3 types of questions i'm in the need of help for. I am very appreciative for any help!
Write the following absolute value expressions as piecewise expressions.
1. |x^2 + x - 12|
I know that it's possible to graph it using my calculator, but is there a way not to use my calculator? Half of calculus is without calculator.
Solve the following by factoring and making the appropriate sign charts. Write your solutions in interval notation.
2. x^2 - 16 > 0
I got (4, ∞) but I don't know what a sign chart is.
3. x^2 + 12x + 36 - 9y^2
Stumped. I know I can factor out an x but not sure how that would help.
I appreciate any help. Look forward to hearing from people!