# Ch 7: Saxon Calculus: Graphing Calculator

### About This Chapter

## How It Works:

- Find the lesson within this chapter that corresponds to what you're studying in the Graphing Calculator chapter of your textbook.
- Watch fun videos that cover the calculus concepts you need to learn or review.
- Complete the quiz after watching each video lesson to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material, or submit a question for one of our instructors.

## Chapter Topics

You'll learn all of the calculus topics covered in the textbook chapter, including:

- Graphing calculator: functions and features
- Evaluating, working with and graphing functions
- How to find zeros of functions and polynomials
- How to use a graphing calculator to evaluate exponentials and logarithms
- Graphing sequences, conics and parametric and polar equations
- How to approximate limits, slopes of curves and definite integrators
- Using a graphing calculator to find local extrema

*Saxon is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.*

### 1. Basic Features & Functions of a Graphing Calculator

This lesson goes over some of the basic features and functions of a graphing calculator: graphing, finding intersections, zooming, and solving equations.

### 2. How to Evaluate & Graph Functions on a Graphing Calculator

This lesson will teach you how to use a graphing calculator to evaluate a function at a given value and how to graph a function. It will also give you some trouble-shooting tips for these tasks.

### 3. Working With Functions on a Graphing Calculator

The scientific calculator is a great tool in both increasing the accuracy and speed at which one can practice a plethora of mathematical operations. In this lesson, we seek to find the intersection points of two functions: y = x^2 and y = 2x using the Texas Instruments TI-84 Scientific / Graphing Calculator.

### 4. Finding Zeros of Functions & Polynomials on a Graphing Calculator

When a function or polynomial is graphed on a x,y coordinate grid, it could possibly cross the x-axis. The point(s) at which the graph and the x-axis intersect are called zeros. Graphing calculators have functions that allow you to find the locations of these points if they exist.

### 5. Evaluating Exponentials & Logarithms on a Graphing Calculator

A graphing calculator is an advanced calculator that can evaluate simple and complex mathematical expressions including exponentials and logarithms. Let's look at the steps needed to evaluate these expressions.

### 6. Approximating Limits on a Graphing Calculator

Using a graphing calculator can make it a much faster and easier process to find the limit of a function, especially if the function is complex. This lesson will review two ways to approximate limits using a Texas Instruments TI-84.

### 7. Approximating Slopes of Curves on a Graphing Calculator

The scientific calculator -specifically the Texas Instrument TI-84 graphing calculator- is a tool, which can increase the efficiency at which one can perform a wide variety of mathematical operations. One such operation that is made easy with this tool is the approximation of slope (or gradient).

### 8. Approximating Definite Integrals on a Graphing Calculator

Many definite integrals can be either too tedious or complex to solve for by hand. As a result graphing calculator technology has bridged the gap. With the use of the Texas Instruments (TI-83/84), such finite integrals can be approximated to a small fraction of a decimal.

### 9. Finding Local Extrema on a Graphing Calculator

Many applications of calculus require that you find the maximum or minimum of a function. When these are found over a given interval they are called local extrema. A graphing calculator can find these extrema for you with the push of a couple buttons.

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### Other Chapters

Other chapters within the Saxon Calculus Homeschool: Online Textbook Help course

- Saxon Calculus: Real Numbers
- Saxon Calculus: Algebra
- Saxon Calculus: Algebra Theorems
- Saxon Calculus: Geometry
- Saxon Calculus: Logic
- Saxon Calculus: Trigonometry
- Saxon Calculus: Basics of Functions
- Saxon Calculus: Graphing Functions & Equations
- Saxon Calculus: Analysis of Graphs
- Saxon Calculus: Limits of Functions
- Saxon Calculus: Asymptotic & Unbounded Behavior
- Saxon Calculus: Continuity as a Property of Functions
- Saxon Calculus: Parametric, Polar & Vector Functions
- Saxon Calculus: Concept of the Derivative
- Saxon Calculus: Derivative at a Point
- Saxon Calculus: Derivative as a Function
- Saxon Calculus: Second Derivatives
- Saxon Calculus: Applications of the Derivative
- Saxon Calculus: Computation of Derivatives
- Saxon Calculus: Riemann Sums
- Saxon Calculus: Interpretations & Properties of Definite Integrals
- Saxon Calculus: Applications of Integrals
- Saxon Calculus: Fundamental Theorem of Calculus
- Saxon Calculus: Techniques of Antidifferentiation
- Saxon Calculus: Applications of Antidifferentiation
- Saxon Calculus: Numerical Approximation of Definite Integrals
- Saxon Calculus: Concept of Series
- Saxon Calculus: Series of Constants
- Saxon Calculus: Taylor Series