Chapter 3 REVIEW

We have learned about the following concepts in Ch. 3. Please make sure you have an example of each in your notes!!! 1) Graphs of exponential functions 2) Asymptotes 3) Solving equations that involve exponents. 4) Negative exponents 5) Fractional exponents 6) Applications of how exponents are used

Know the four representations of the exponential functions and how they are connected.

xf(x) Create a graph and equation that models the data below:

Solution Equation: xf(x) Graph:

xf(x) Create a graph and equation that models the data below:

Solution Equation: xf(x) Graph:

xf(x) Create a graph and equation that models the data below:

Solution: xf(x) We can substitute our known values into our general equation and solve for the growth rate, b

Solution (cont.) : Now that we know our growth rate we can figure out the initial value for our generalized equation: xf(x)

REMEMBER: There is more than one way to solve a problem use whatever way you are comfortable with.

Solutions:

Other Helpful Review Topics 1) Solving Equations for x: Linear Quadratic by various methods.  Quadratic Formula  Zero Product Property  Graphing 2) Solving Systems of Equations 3) Know how to apply the Laws of Exponents (they’re in your notes).