Mr. and Mme. Bystrzycki
  • Home
  • Mr. B
    • PSUSD Mathematics >
      • Calculus >
        • Calculus B.C. >
          • Calculus B.C. Semester 1 >
            • More Derivatives
            • Applications of the Derivative
            • Anti-derivative
            • Differential Equations and Math Modeling >
              • Differential Equations
              • Differential Equations and Euler's Method
              • Integration Techniques
            • Applications of Integration
          • Calculus BC Semester 2 >
            • Review Semester 1
            • Infinite Sequences and Series
            • Parametric and Polar Equations
        • Calculus A.B. Semester 1 >
          • Derivatives >
            • Rules of Differentiation
            • The Derivative as a Rate of Change
          • Applications of the Derivative
          • Anti-derivative >
            • Area
            • The Fundamental Theorem of Calculus
        • Calculus A.B. Semester 2 >
          • Logarithms and Exponential Functions >
            • Logarithmic Functions
            • Exponential Functions
          • Applications of Integration
          • Differential Equations
        • FInal and AP Review
        • Calculus Summer Work
        • Calculus Blog
      • Honors Precalculus >
        • Honors Precalculus Semester 1 >
          • Introduction to Functions and Their Inverses
          • Polynomial Functions and Their Graphs
          • Exponential and Logarithmic Functions and Their Graphs
          • Trigonometry
        • Honors Precalculus Semester 2 >
          • More Trigonometry
          • Limits
        • Honors Precalculus Summer Work
        • Honors Precalculus Blog
      • Integrated Math I >
        • The Tools for a Successful Year
        • Integrated Math I Semester 1 >
          • Unit 1: Introduction to Functions
          • Unit 2: Solving Equations
          • Unit 3: Linear Functions and Bivariate Data
          • Unit 4: Linear vs Exponential Functions
        • Integrated Math I Semester 2 >
          • Unit 6: Solving Inequalities
          • Unit 7: Systems of Linear Equations and Inequalities
          • Unit 9: Geometry IM I
          • Unit 10: Congruence
      • Integrated Math II >
        • Integrated Math II Semester 1 >
          • Unit 1: Similarity
          • Unit 2 Right Triangles and Trigonometry
          • Quadratic Functions
        • Integrated Math II Semester 2 >
          • The Tools for a Successful Year
          • Unit 1: Tools of Geometry
          • Unit 2: Introduction to Proof
          • Unit 7: Circles
        • Geometry Final Review
      • Integrated Math III >
        • Integrated Math III Sem 1 >
          • Quadratic Equations and Functions
          • Polynomial Functions and Expressions
          • Rational Functions and Equations
        • Integrated Math III Sem 2 >
          • Radical Functions and Equations
          • Exponential and Logarithmic Functions and Their Graphs
          • Trigonometry
      • Study Hall
    • DHSHS J.V. Baseball
    • About Me
    • Contact Me
  • Mme. B
    • Rancho Mirage High School >
      • Theatre 1
      • French 2
      • RMHS Key Club
    • About Me
    • Contact Me

Linear vs. Exponential Functions

The Three Meter Race

Picture

IM I Functions

Linear Functions

Picture
It is important that you finish this class knowing the different representations of  a function, features of functions.
​Linear functions begin with
y = x.  



Linear functions have a constant rate of change as opposed to exponential functions which have a variable rate of change.

Picture
Linear functions can be written in different forms. The parent function, y = x, can be transformed by changing the slope and y-intercept.

The Exponential function

Picture
Exponential functions do not have a constant rate of change.  
Picture

IM III Functions

Rational Functions

y = 1/x

Picture

The Logarithmic Function

Picture

The Square root Function

Picture

y = 1/x ^2

Picture

Cubics

Picture

The Cube root Function

Picture

IM I Linear Function Review Slide Deck

Picture

IM I Exponential Function Slide Deck

Picture

IM II Functions

Parabolas

Picture

The Absolute Value Function

Picture

    Questions

    If you have any questions or comments about the slide shows, please submit them here.  Do not submit problems, but submit questions you might have on any of the topics. 
Submit

Proudly powered by Weebly