- standard
Build a function that models a relationship between two quantities
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Building Functions
Write a function that describes a relationship between two quantities.*
- standard
Analyze functions using different representations
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Interpreting Functions
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For exa…
- standard
Analyze functions using different representations
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Interpreting Functions
Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02…
- standard
Analyze functions using different representations
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Interpreting Functions
Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in…
- standard
Analyze functions using different representations
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Interpreting Functions
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
- standard
Analyze functions using different representations
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Interpreting Functions
Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.*
- standard
Analyze functions using different representations
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Interpreting Functions
(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.*
- standard
Analyze functions using different representations
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Interpreting Functions
Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.*
- standard
Analyze functions using different representations
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Interpreting Functions
Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.*
- standard
Analyze functions using different representations
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Interpreting Functions
Graph linear and quadratic functions and show intercepts, maxima, and minima.*
- standard
Analyze functions using different representations
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Interpreting Functions
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
- standard
Interpret functions that arise in applications in terms of the context
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Interpreting Functions
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 …
- standard
Interpret functions that arise in applications in terms of the context
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Interpreting Functions
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the …
- standard
Interpret functions that arise in applications in terms of the context
- 9th - 12th Grade
- Michigan State Math Standards
- Functions: Interpreting Functions
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 sho…