AP Precalculus Review on Sections 1.4, 1.5, and 1.6 (Reteaching and Test Practice Problems)

Unit 1: Polynomial and Rational Functions

1.4 Polynomial Functions and Rates of Change
1.5 Polynomial Functions and Complex Zeros
1.6 Polynomial Functions and End Behavior

1. Graphs of Polynomial Functions: Polynomial functions are represented as curves on a graph, and their key features include degree, leading coefficient, and behavior at the ends.

2. Local Extrema: Local extrema are points on a function where it reaches a maximum or minimum value within a specific interval.

3. Absolute Extrema: Absolute extrema are the highest and lowest points on a function over its entire domain.

4. Factoring Polynomials: Factoring involves breaking down polynomial expressions into simpler factors, helping in solving equations and understanding function behavior.

5. Multiplicity: Multiplicity refers to how many times a specific root or factor appears in a polynomial, affecting the behavior near that root.

6. Complex Numbers: Complex numbers involve real and imaginary parts, often written as a + bi, where "a" and "b" are real numbers and "i" represents the imaginary unit.

7. Even and Odd Functions: Even functions have symmetry around the y-axis (f(x) = f(-x)), while odd functions have rotational symmetry about the origin (f(x) = -f(-x)).

8. Limit Notation: Limits describe the behavior of a function as it approaches a certain value. Notation like lim(x→a) f(x) = L is used to denote limits.

These concepts are fundamental in precalculus and serve as building blocks for more advanced mathematical topics.

Nick Perich
Norristown Area High School
Norristown Area School District
Norristown, Pa
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[afreakinglime]

By far the most energetic lively pre-calc teacher ever. Thank you for keeping me awake to study for the exam

[MarionAllaume]

we need more teachers that can explain math like this

[mukilsiva]

My teacher doesnt do 💩, and took us 2 weeks to teach this. Meanwhile my goat did it in 1 hour.

[Leslie-nwft]

I love your videos and I will be using them till AP pre cal is over because I cannot understand my teacher

[robo]

Thank you so much you’re about to save my grade on my test tomorrow

[ziruiyuan]

I have a question is about why the first question of A the a is not 3 is 2?

[crazynamzy]

im sorry but could you explain the purpose of multiplicity?? i think thats the only thing that always gets me