Model with function combination
- Description
- Given two basic functions that model a real-world situation, combine them using the appropriate arithmetic operation in order to model a more complex situation.
|
Given two basic functions that model a real-world situation, combine them using the appropriate arithmetic operation in order to model a more complex situation. |
Timed Test
|
Find composite functions
- Description
- Given the formulas of two functions, find the formula of their composition.
|
Given the formulas of two functions, find the formula of their composition. |
Timed Test
|
Graph quadratics in all forms
- Description
- Graph quadratic functions given in any form.
|
Graph quadratic functions given in any form. |
Timed Test
|
Midline of sinusoidal functions from graph
- Description
- Given the graph of a sinusoidal function, determine its midline equation.
|
Given the graph of a sinusoidal function, determine its midline equation. |
Timed Test
|
Interpret change in exponential models
- Description
- Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval.
|
Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval. |
Timed Test
|
Solve quadratic equations: complex solutions
- Description
- Solve quadratic equations using the quadratic formula. Some of the equations have real solutions while others have complex solutions.
|
Solve quadratic equations using the quadratic formula. Some of the equations have real solutions while others have complex solutions. |
Timed Test
|
Use the Polynomial Remainder Theorem
- Description
- Use the PRT (Polynomial Remainder Theorem) to determine the factors of polynomials and their remainders when divided by linear expressions.
|
Use the PRT (Polynomial Remainder Theorem) to determine the factors of polynomials and their remainders when divided by linear expressions. |
Timed Test
|
Amplitude of sinusoidal functions from graph
- Description
- Given the graph of a sinusoidal function, determine its amplitude.
|
Given the graph of a sinusoidal function, determine its amplitude. |
Timed Test
|
Midline of sinusoidal functions from equation
- Description
- Given the formula of a sinusoidal function, determine its midline equation.
|
Given the formula of a sinusoidal function, determine its midline equation. |
Timed Test
|
Find zeros of polynomials
- Description
- Use various methods in order to find all the zeros of polynomial expressions or functions.
|
Use various methods in order to find all the zeros of polynomial expressions or functions. |
Timed Test
|
Model with composite functions
- Description
- Given two basic functions that model a real-world situation, compose them in order to model a more complex situation.
|
Given two basic functions that model a real-world situation, compose them in order to model a more complex situation. |
Timed Test
|
Interpret time in exponential models
- Description
- Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor.
|
Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor. |
Timed Test
|
Shift functions
- Description
- Shift functions horizontally and vertically, and practice the relationship between the graphical and the algebraic representations of those shifts.
|
Shift functions horizontally and vertically, and practice the relationship between the graphical and the algebraic representations of those shifts. |
Timed Test
|
Evaluate inverse functions
- Description
- Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values.
|
Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values. |
Timed Test
|
Find inverse functions
- Description
- Practice finding the formula of the inverse function of a given polynomial, radical, or rational function.
|
Practice finding the formula of the inverse function of a given polynomial, radical, or rational function. |
Timed Test
|
Construct exponential models
- Description
- Given a verbal description of the rate of change of a real world situation, find the exponential function that models it.
|
Given a verbal description of the rate of change of a real world situation, find the exponential function that models it. |
Timed Test
|
Amplitude of sinusoidal functions from equation
- Description
- Given the formula of a sinusoidal function, determine its amplitude.
|
Given the formula of a sinusoidal function, determine its amplitude. |
Timed Test
|
Interpret change in exponential models: changing units
- Description
- Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.
|
Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit. |
Timed Test
|
Interpret change in exponential models: with manipulation
- Description
- Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change.
|
Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change. |
Timed Test
|
Period of sinusoidal functions from graph
- Description
- Given the graph of a sinusoidal function, determine its period.
|
Given the graph of a sinusoidal function, determine its period. |
Timed Test
|
