Main content
Math
- 6.2: Number and operations
- 6.3: Number and operations
- 6.4: Proportionality
- 6.5: Proportionality
- 6.6: Expressions, equations, and relationships
- 6.7: Expressions, equations, and relationships
- 6.8: Expressions, equations, and relationships
- 6.9: Expressions, equations, and relationships
- 6.10: Expressions, equations, and relationships
- 6.11: Measurement and data
- 6.12: Measurement and data
- 6.13: Measurement and data
- 6.14: Personal financial literacy
- 7.2: Numbers and operations
- 7.3: Number and operations
- 7.4: Proportionality
- 7.5: Proportionality
- 7.6: Proportionality
- 7.7: Expressions, equations, and relationships
- 7.8: Expressions, equations, and relationships
- 7.9: Expressions, equations, and relationships
- 7.10: Expressions, equations, and relationships
- 7.11: Expressions, equations, and relationships
- 7.12: Measurement and data
- 7.13: Personal financial literacy
- 8.2: Number and operations
- 8.3: Proportionality
- 8.4: Proportionality
- 8.5: Proportionality
- 8.6: Expressions, equations, and relationships
- 8.7: Expressions, equations, and relationships
- 8.8: Expressions, equations, and relationships
- 8.9: Expressions, equations, and relationships
- 8.10: Two-dimensional shapes
- 8.11: Measurement and data
- 8.12: Personal financial literacy
- A.2: Linear functions, equations, and inequalities
- A.3: Linear functions, equations, and inequalities
- A.4: Linear functions, equations, and inequalities
- A.5: Linear functions, equations, and inequalities
- A.6: Quadratic functions and equations
- A.7: Quadratic functions and equations
- A.8: Quadratic functions and equations
- A.9: Exponential functions and equations
- A.10: Number and algebraic methods
- A.11: Number and algebraic methods
- A.12: Number and algebraic methods
- A2.2: Attributes of functions and their inverses
- A2.3: Systems of equations and inequalities
- A2.4: Quadratic and square root functions, equations, and inequalities
- A2.5: Exponential and logarithmic functions and equations
- A2.6: Cubic, cube root, absolute value and rational functions, equations, and inequalities
- A2.7: Number and algebraic methods
- A2.8: Data
- G.2: Coordinate and transformational geometry
- G.3: Coordinate and transformational geometry
- G.4: Logical argument and constructions
- G.5: Logical argument and constructions
- G.6: Proof and congruence
- G.7: Similarity, proof, and trigonometry
- G.8: Similarity, proof, and trigonometry
- G.9: Similarity, proof, and trigonometry
- G.10: Two-dimensional and three-dimensional figures
- G.11: Two-dimensional and three-dimensional figures
- G.12: Circles
- G.13: Probability
- MMA.2: Mathematical modeling in personal finance
- MMA.3: Mathematical modeling in personal finance
- MMA.4: Mathematical modeling in personal finance
- MMA.5: Mathematical modeling in science and engineering
- MMA.6: Mathematical modeling in science and engineering
- MMA.7: Mathematical modeling in fine arts
- MMA.8: Mathematical modeling in social sciences
- MMA.9: Mathematical modeling in social sciences
- MMA.10: Mathematical modeling in social sciences
Texas Math
Algebra II: Attributes of functions and their inverses. The student applies mathematical processes to understand that functions have distinct key attributes and understand the relationship between a function and its inverse.
Graph the functions f(x)=√x, f(x)=1/x, f(x)=x^3, f(x)=cube root of x, f(x)=b^x, f(x)=|x|, and f(x)=log base b of (x) where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval.
Graph and write the inverse of a function using notation such as f ^-1 (x).
Describe and analyze the relationship between a function and its inverse (quadratic and square root, logarithmic and exponential), including the restriction(s) on domain, which will restrict its range.
Use the composition of two functions, including the necessary restrictions on the domain, to determine if the functions are inverses of each other.