Embedded Files
Click on the section heading to find notes, homework and additional resources!
- I can determine if a function represents either exponential growth or exponential decay
- I can identify the parent function of an exponential function and describe the transformations
- I can identify the key characteristics of an exponential function (domain, range, intercepts, asymptotes, etc.)
- I can convert equations into logarithmic form and logarithmic form into exponential form
- I can use the change of base formula to evaluate a logarithm
- I can identify key characteristics of a logarithmic functions (domain, range, intercepts, asymptotes, etc.)
- I can utilize the product, quotient, and exponent properties to condense and expand logarithms
- I can solve log=log equations and check for extraneous solutions
- I can solve log = number equations and check for extraneous solutions
- I can solve an exponential equation by taking the log of both sides
- I can check for extraneous solutions
- I can solve equations involving e and ln
- I can define exponential growth and exponential decay
- I can utilize the formulas for exponential growth, exponential decay and compound interest in everyday life
State Standards:
State Standards:
F.LE.A.2 For exponential models, express as a logarithm the solution to ab = d where a, c, and d are numbers and the base b is 2,10, or e: evaluate the logarithm using technology.
F.IF.A.1 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.★
F.IF.A.2 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.★
F.IF.B.3 Graph functions expressed symbolically and show key features of the graph, by hand and using technology.
A-CED.A.1. Create equations and inequalities in one variable and use them to solve problems.
A.CED.A.2 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
A.SSE.B.2 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★
a. Use the properties of exponents to rewrite expressions for exponential functions.
F.IF.B.4 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
a. Use the properties of exponents to interpret expressions for exponential functions.
F-IF.B.5 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
Report abuse