Test 1 Topics
Chapter 1

Section 1.1: What is a Function?

• The definition of a function

• Numerical, graphical, and symbolic examples

• The vertical line test

• Basic function concepts and language

Section 1.2: Rate of Change

• The average rate of change of a function over an interval

• Increasing and decreasing functions

• Rate of change in function notation

Section 1.3: Linear Functions

• Functions with a constant rate of change

• Construction of linear models

• Slope and the general form of a linear function

Section 1.4: Formulas for Linear Functions

• Interpreting the effects of different rates of change and the initial values on the graphs of linear functions

• Finding the formula representing a linear function from numerical data, the graph of a unction, or a verbal description

Section 1.5: Geometric Properties of Linear Functions

• Parallel and perpendicular lines

• Horizontal and vertical lines

• The intersection of two lines

Section 1.6: Fitting Linear Functions to Data

• Regression line

• Interpolation and extrapolation

• Correlation and causation

Review Problems (pg. 50)

• 5, 7, 11, 15, 23, 27, 41

  Chapter 2

  Section 2.1: Input and Output

  • Basic function interpretation and manipulation using standard function notation

  • The effect on a function of changing the input variable versus changing the output variable

  Section 2.2: Domain and Range

  • Domain and range of a function

  • Using a graph to find the domain and range

  • Finding the domain and range algebraically

  Section 2.3: Piecewise Defined Functions

  • Piecewise defined functions

  • Step functions

  • Absolute value functions

  Section 2.4: Inverse Functions

  • The concept of inverse functions

  • Finding the formula for an inverse function

  Section 2.5: Concavity

  • The relationship between the behavior of the rate of change of a function and the concavity of the function's graph

  Section 2.6: Quadratic Functions

  • The general formula for quadratic functions

  • Finding the zeros of quadratic functions

  • Concavity of quadratic functions

  Review Problems (pg. 94) - 7, 8, 11, 15, 19, 27, 29, 41