Final Review Day Slides

Math Analysis Final Exam Review (Fall)

A.4 – Complex Fractions

#11-14, 44, 45, 48, 49-52

1.4 – Functions: Function Notation, Difference Quotient

#5, 6, 19-30, 47-56, 73-80

1.5 – Graph of Functions

#7-14, 33-40

1.8 – Combinations of Functions: Function Operations, Composite Functions

#5-12, 29-42

1.9 – Inverse Functions: Horizontal Line Test, Finding equations of Inverse Functions

#37-40, 55-62

2.1 – Quadratic Functions: vertex, graphs of quadratics, finding zeros of quadratics

#5-8, 47-56, 67-73

2.2 – Polynomial Functions: Lead Coefficient Test, End Behavior

#9-14, 19-28, 33-48

2.3 – Polynomial Long Division and Synthetic Division

#11-36

2.4 – Complex numbers: simplifying complex numbers, rationalizing complex numbers, operations on complex numbers

#11-38, 47-52, 67-76

*2.5 – Zeros of Polynomials: Fundamental Thm of Algebra, Rational Zero Test, writing polynomials as a linear factorization

#9-28, 47, 48, 55-78

*2.6 – Rational Functions: Vertical, Horizontal, and Slant Asymptotes, Domain of Rational functions, analyzing graphs of Rational Functions, zeros of rational functions

#5-16, 39-42, 47-60

*7.4 – Partial Fraction Decomposition

#13-16, 23-27, 32, 35, 37

3.1 – Exponential Functions: Graphs of exponential functions

#13-16, 21-28, 45-54, 57-64

3.2 – Logarithmic Functions: Graphs of logarithmic functions

#7-31, 37-45, 61-66, 75-80

3.3 – Properties of Logarithms: Expanding and Condensing Logarithmic Expressions

#5-12, 41-76

3.4 – Exponential and Logarithmic Equations: Solving Exponential and Logarithmic Equations

#7-16, 19-43, 47-62

Formulas you need to know:

Quadratic formula

Vertex of a quadratic from standard form

Compound Interest formula

Any other formulas will be given to you, or problems will be able to be solved without applying a formula