Pre-Calculus Chapter 1: Introduction to Pre-Calculus

​Pre-Calculus (Honors)

​What is Pre-Calculus?

​Precalculus is a course that is designed to prepare students for Calculus, either in high school or college.

*Now, calculus is the study of how things change over time; therefore, the goal of precalculus is to equip students to handle rigorous and dynamic concepts by helping them to connect their previous learning from Algebra and Geometry.

*To do this, Pre-Calculus is divided into two major categories: Trigonometry and Math Analysis.

​What is Pre-Calculus?

​Pre-Calculus - Chapter 1 Analyzing Functions

​What will we be covering?
- Lets just say you will be an expert in Analyzing Functions...😁

But First...Pre-Test!

Multiple Choice

Use the image and answer the question

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Multiple Choice

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Multiple Choice

Use the image to answer the question

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Multiple Choice

Use the image to answer the question

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Multiple Choice

Use the image to answer the question

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Multiple Choice

Use the image to answer the question

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Multiple Choice

Use the image to answer the question

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Multiple Choice

Use the image to answer the question

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Multiple Choice

Use the image to answer the question

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Multiple Choice

Use the image to answer the question

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Multiple Choice

Use the image to answer the question

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Multiple Choice

Use the image to answer the question

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​Section 1.1 - Relations and Functions

​Section 1.1 - Relations and Functions

​What is a Relation?

​What is Domain?

​What is Range?

​Sooo... What is a function?

​Sooo... What is a function?

​Sooo... What is a function?

​Sooo... What is a function? Using the Vertical Line Test

​Sooo... What is a function? Using the Vertical Line Test

​Sooo... What is a function? Using the Vertical Line Test

​Sooo... What is a function? Using the Vertical Line Test

Functions Cont...

Functions Cont...

Functions Cont...

Functions Cont... Graphing and stating Domain of a function

Functions Cont... Graphing

Functions Cont... Representing Interval Notation (closed interval)

Functions Cont... Representing Interval Notation

Using Inequalities as Functions: Bounded and Unbounded Intervals

Functions Cont... Representing Interval Notation

Functions Cont... Representing Interval Notation

Functions Cont... Finding the domain and range of a function

Functions Cont... Finding the domain and range of a function

Functions Cont... Finding the domain and range of a function

Open Ended

Graph each relation and state its domain and range using set builder notation

Open Ended

Graph each relation and state its domain and range using set builder notation

Open Ended

Write each relation as a set of ordered pairs and determine whether it is a function:

Open Ended

Write each relation as a set of ordered pairs and determine whether it is a function:

Multiple Choice

Determine if the relation is a function using the vertical line test

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Multiple Choice

Determine if the relation is a function using the vertical line test

• Yes

• No

Open Ended

Write each inequality in interval notation, then graph the interval on a number line

x < 12

Open Ended

Write each inequality in interval notation, then graph the interval on a number line

$$-4\ \le\ x\ \le\ 10$$

Open Ended

Write each inequality in interval notation, then graph the interval on a number line

$$x\ <\ 5\ or\ x\ >\ 18$$

Open Ended

State the domain and range of each function, using interval notation where possible. Remember that an open circle implies an excluded endpoint in the graph

Open Ended

State the domain and range of each function, using interval notation where possible. Remember that an open circle implies an excluded endpoint in the graph

Open Ended

State the domain and range of each function, using interval notation where possible. Remember that an open circle implies an excluded endpoint in the graph

​What is Pre-Calculus? Remember...

​Precalculus is a course that is designed to prepare students for Calculus, either in high school or college.

*Now, calculus is the study of how things change over time; therefore, the goal of precalculus is to equip students to handle rigorous and dynamic concepts by helping them to connect their previous learning from Algebra and Geometry.

*To do this, Pre-Calculus is divided into two major categories: Trigonometry and Math Analysis.

Poll

So far, this stuff is easy?

• Yes

• No

• Maybe

• I am completely lost!