# Business Calculus

- Author:
- Kevin Hopkins

- Topic:
- Calculus

A workbook created in Fall 2016 to use for Business Calculus. Most of the worksheets in this book also appear in other places.
Feel free to email me at khopkins@sbuniv.edu if you think there is an error in any worksheet (please be as specific as possible-a screenshot of the error would be most helpful). I tested them quite a bit, but there could be things that come up that I didn’t encounter in my testing.
I would also like to know if you used these and found them useful. If so, can you think of ways I could expand them?
Some are "self check" and others have you enter the answer and GeoGebra does the checking. I would encourage you to watch an introductory video (http://youtu.be/zzz42Y_qZJw) to get a feel for how the worksheets operate.

## Table of Contents

### Exam 1 Material

- Representing a Function in Four Ways-Section 1.1
- Tables as Functions: Solving and Evaluating-Section 1.1
- Graphs as Functions: Solving and Evaluating-Section 1.1
- Formulas as Functions: Solving and Evaluating-Section 1.1
- Basic Toolkit Functions-Section 1.1
- Graphing Functions-Section 1.1
- Finding Domain and Range of Functions: Section 1.1
- Algebra of Function
- Shifts or Translations-Section 1.2
- Reflections-Section 1.2
- Stretch/Compression-Section 1.2
- Simpler Determining the Transformation-Section 1.2
- More Difficulty Determine Transformation-Section 1.2
- Slope of a Line Given Two points-Section 1.3
- Slope Intercept form from Table-Section 1.3
- What do m and b do to graph of a line-Section 1.3
- Line Equation-Section 1.3
- Equation of Line from points-Section 1.3
- Matching graph with line equation-Section 1.3
- Simplify Expressions with Exponents-Section 1.4
- Simplify Expressions with Exponents, More Difficult-Section 1.4
- Simplify Expressions, More Complicated-Section 1.4
- Shifted Form of Quadratic-Section 1.5
- Demonstration-Quadratics-Section 1.5
- Quadratics and Parabolas-Section 1.5
- Polynomial Inequalities-Section 1.6
- Graphs of the Exponential-Section 1.7
- Matching Exponential Equations-Section 1.7
- Compounding Periods-Section 1.7
- Compound Interest-Section 1.7
- Logarithm to Exponential-Section 1.8
- Exponential to Logarithm-Section 1.8
- Solving Exponential Equations-Section 1.8

### Exam 2 Material

- Tangent Lines as Limits of Secant Lines with slider-Intro to Chapter 2
- Tangent Lines as Limits of Secant Lines/Input-Intro to Chapter 2
- Limits of Piecewise Functions-Section 2.1
- Estimating Limits-User enter the Function-Section 2.1
- Estimating Limits from Given Functions-Section 2.1
- Section 2.2-Sketching Graph of Derivative
- Section 2.2-Work with difference quotient
- Derivative Practice-Sections 2.3-2.5
- Section 2.7 & 2.8 Busn Calc-Increasing versus Decreasing

### Exam 3 Material

- Section 2.6-Concavity
- Section 2.6-Interpretations of Concavity
- Section 2.9-Applied Optimization
- Section 3.1-Areas
- Section 3.1-Riemann Sums
- Section 3.2-Graphing f from graph of f'(x).
- Section 3.2-Graphing f from graph of "random" f'(x).
- Section 3.2-Checking antiderivatives and using Fundamental Theorem
- Section 3.3-Antiderivatives-Multiple Choice Problems
- Section 3.3-Indefinite Integral
- Section 3.3 Antiderivative of Formulas