This study guide covers functions, including their domain and range, independent and dependent variables, and different representations (graphical, numerical, analytical, verbal). It also explains increasing and decreasing functions, concavity (up and down), and finding zeros/roots of functions. Practice questions and an answer key are provided.

#AP Pre-Calculus: Ultimate Study Guide 🚀

Hey there, future AP Pre-Calculus master! This guide is designed to be your go-to resource for acing the exam. Let's dive in and make sure you're feeling confident and ready to rock! 💪

#1.1 Change in Tandem

#A Quick Refresher on Functions

Okay, let's talk functions—not the party kind, but the mathematical kind! 🥧

Key Concept

A function is a relationship where each input (from the domain) has exactly one output (in the range).

Think of it like a machine: you put something in, and you get something specific out. No surprises! 🎁

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Domain: All possible input values. ⛳
Range: All possible output values.

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#Variables

Independent Variable: The input that you control or change (the cause). 👍
Dependent Variable: The output that depends on the input (the effect).

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#The Function Rule

The function rule is how you transform inputs into outputs. 📐 It can be ...

What is a core characteristic of a function? 🤔

Each input has multiple outputs

Each output has multiple inputs

Each input has exactly one output

Inputs and outputs are unrelated