### MATH100 Final Review Sheet

These are some topics that are likely to appear on the final exam. Please double check the formulas and learn what they're for before using them. Some formulas have been abused to fit on a web page.
• Simplify Expressions
Basic Rules of Algebra, Section 1.1, 1.3
Exponents and Radicals, Section 1.2 (skip rationalizing numerators)
Rational Expressions, Section 1.4
• Evaluate Expressions
Algebraic Expressions, Section 1.3
Rational Expressions, Section 1.4
Exponential and Logarithmic Functions, Sections 4.1-4.2
• Solving Equations and Inequalities
Equations, Section 1.5
Solving Inequalities, pp. 76-77, 81-82
Solving Equations and Inequalities Graphically, Section 1.9
Zeros of Polynomial Functions, Sections 3.1, 3.3-3.5
Finding Inverse Functions, Section 2.8
Exponential and Logarithmic Equations, Section 4.4
• Equations and Functions
Functions, Section 2.1
Domain and Range of Common Functions, Sections 2.2, 4.1, 4.2
Combining Functions, Section 2.7
Linear Equations in Two Variables, Section 1.10 (y = mx+b, slope = m = (y2 - y1)/(x2 - x1), (y - y1) = m(x - x1))
Quadratic Functions, pp. 27-31, Section 2.5
Polynomials, Chapter 3
Logarithmic Fuctions, Section 4.2
Exponential Functions, Section 4.1
• Graphing
The Cartesian Plane, Section 1.8
Graphs of Equations, Section 1.8
Graphs of Functions, Section 2.2
Piecewise defined Functions, pp. 161-162
A Library of Functions, p. 166
Rigid Transformations of Graphs, Section 2.4
End Behavior and the Leading Term, pp. 252-254
Sketching the Graph of a Polynomial Function, Section 3.1
Graphs of Rational Functions, Section 3.6
• Distance and Location
Absolute Value and Distance, pp. 9-10, 81
Parallel and perpendicular lines, p. 116-118
Distance Formula, pp. 88-89 (d = sqrt((x2 - x1)2 + (y2 - y1)2) )
Equation of a Circle, pp. 93-95 (r2 = (x - h)2 + (y - k)2) )
Standard Form of a Quadratic Function, p. 194 (f(x) = a(x-h)2 + k)
Maxima and Minima of Quadratic Functions, pp. 194-195 ((-b/(2a), f(-b/(2a))))
• Modeling
Modeling with Equations, Section 1.6
With Exponential and Logarithmic Equations, Section 4.5

Exams