Common Core Math: High School Functions
Functions are tools that mathematicians use to describe and make predictions about mathematical relationships. In high school, students formalize the definition of a function in terms of domain and range and are introduced to various new types of functions including linear, quadratic, polynomial, rational, exponential, logarithmic and trigonometric functions. Students learn to represent and transform functions using equations, graphs and numerical methods. Students analyze and compare the behavior of different types of functions, noting function properties such as growth rates, intercept values, symmetries, asymptotes, discontinuities and periodicity.
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Construct and observe relationships between functions.
Transform the graph of a function (CCSS.Math.Content.HSF-BF.B.3):
Compute the inverse of a function (CCSS.Math.Content.HSF-BF.B.4):
Analyze function behavior using equations, graphs and numerical representations.
Determine the domain and range of a function (CCSS.Math.Content.HSF-IF.A.1):
Determine intervals on which a function has a given behavior (CCSS.Math.Content.HSF-IF.B.4):
Identify and compare scenarios that can be modeled by linear and exponential functions.
Distinguish between linear and exponential functions (CCSS.Math.Content.HSF-LE.A.1):
Construct functions (CCSS.Math.Content.HSF-LE.A.2):
Solve exponential equations (CCSS.Math.Content.HSF-LE.A.4):
Explore values and properties of trigonometric functions and their inverses.