MATH-149 Midterm: MATH 147 Boise State Exam 1

• School: Boise State University
• Department: Mathematics
• Course: MATH-149
• Professor: All

Document Summary

Natural numbers: n = {0, 1, 2, 3, } Integers: z = { , 3, 2, 1, 0, 1, 2, 3, } Rational numbers: q = { a a, b 6= 0 z} b. Closed: [a, b] = {x a < x < b} a x b} Irrational numbers are real numbers that aren"t ra- Half-open: [a, b) = {x a x < b} (a, b] = {x a < x b} Be able to manipulate/simplify into equivalent algebraic expressions. Log(xy) = log(x) + log(y) ay = ax y. Golden rule: do unto one side as you do unto the other. Be able to create sign tables to show where an expression is either positive (> 0) or negative (< 0). Be able to use sign tables to solve non-linear inequalities. Linear function: f (x) = mx + b. Point-slope equation: y y1 = m(x x1)