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Subject Area - CC.2:
Mathematics
Mathematics
- Standard Area - CC.2.2: Algebraic Concepts
- Grade Level - CC.2.2.HS: GRADE High School
Standard - CC.2.2.HS.C.4
Interpret the effects transformations have on functions and find the inverses of functions.
- Standard Area - CC.2.2: Algebraic Concepts
- Assessment Anchor - A1.2.1:
Functions
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Eligible Content - A1.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.
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Eligible Content - A1.2.1.1.2 Determine if a relation is a function given a set of points or a graph.
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Eligible Content - A1.2.1.1.3 Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).
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Eligible Content - A1.2.1.2.1 Create, interpret and/or use the equation, graph or table of a linear function.
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Eligible Content - A1.2.1.2.2 Translate from one representation of a linear function to another (graph, table and equation).
- Assessment Anchor - A2.2.2:
Applications of Functions
Eligible Content - A2.2.2.1.1
Create, interpret and/or use the equation, graph or table of a polynomial function (including quadratics).
Eligible Content - A2.2.2.1.2
Create, interpret and/or use the equation, graph or table of an exponential or logarithmic function (including common and natural logarithms).
Eligible Content - A2.2.2.1.3
Determine, use and/or interpret minimum and maximum values over a specified interval of a graph of a polynomial, exponential or logarithmic function.
Eligible Content - A2.2.2.1.4
Translate a polynomial, exponential or logarithmic function from one representation to another (graph, table and equation).
Eligible Content - A2.2.2.2.1
Identify or describe the effect of changing parameters within a family of functions (e.g., y = x2 and y = x2 + 3, or y = x2 and y = 3x2).
Non-Linear Equations
Eligible Content - A2.1.3.1.1
Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
Eligible Content - A2.1.3.1.2
Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or √( x2 + 21x) = 14).
Eligible Content - A2.1.3.1.3
Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
Eligible Content - A2.1.3.1.4
Write, solve and/or apply linear or exponential growth or decay (including problem situations).
Eligible Content - A2.1.3.2.1
Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?).
Eligible Content - A2.1.3.2.2
Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
