Public learning track
Comparing Linear, Polynomial, and Exponential Growth
11th Grade · Math · Open Global Math
6 lessons
Goal
Prove and compare the growth behaviors of linear, polynomial, and exponential functions over equal intervals and for large values of x.
Featured Diagrams
Proving Linear Functions Grow by Equal Differences Over Equal Intervals
6 lessons
0 of 6 done
- 1Proving Linear Functions Grow by Equal Differences Over Equal IntervalsUp nextStart
- 2Proving Exponential Functions Grow by Equal Factors Over Equal IntervalsPremiumNot started yet
- 3Identifying Growth Types from Data Tables and Successive RatiosNot started yet
- 4Comparing Average Rates of Change Across Function FamiliesNot started yet
- 5Demonstrating That Exponential Growth Eventually Exceeds Polynomial GrowthNot started yet
- 6Analyzing Asymptotic Dominance and End Behavior of Growth ModelsNot started yet
Curriculum Framework
11th Grade · Math · Open Global Math
1
6 lessons
Comparing Linear, Polynomial, and Exponential Growth
Prove and compare the growth behaviors of linear, polynomial, and exponential functions over equal intervals and for large values of x.
2
6 lessons
Exponential and Logarithmic Inverses and Graphs
Analyze exponential and logarithmic functions as inverses and graph them with accurate asymptotes and key points.
3
9 lessons
Logarithmic Properties and Equation Solving
Apply the laws of logarithms to expand, condense, and evaluate expressions, and solve exponential and logarithmic equations analytically and with technology.
4
7 lessons
Exponential Models and Data Linearization
Model dynamic physical phenomena using exponential functions and linearize exponential and power relationships using logarithmic transformations.