### F-IF: Interpreting Functions

#### F-IF.7: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F-IF.7.a: Graph linear and quadratic functions and show intercepts, maxima, and minima.

F-IF.7.b: Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

F-IF.7.c: Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

F-IF.7.d: Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

F-IF.7.e: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

#### F-IF.8: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

F-IF.8.a: 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 terms of a context.

### F-BF: Building Functions

#### F-BF.1: Write a function that describes a relationship between two quantities.

F-BF.1.a: Determine an explicit expression, a recursive process, or steps for calculation from a context.

#### F-BF.4: Find inverse functions.

F-BF.4.b: Verify by composition that one function is the inverse of another.

F-BF.4.c: Read values of an inverse function from a graph or a table, given that the function has an inverse.

### F-LE: Linear, Quadratic, and Exponential Models

#### F-LE.1: Distinguish between situations that can be modeled with linear functions and with exponential functions.

F-LE.1.a: Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

F-LE.1.b: Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

F-LE.1.c: Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

### F-TF: Trigonometric Functions

#### F-TF.2: Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

F-TF.2.1: Graph all 6 basic trigonometric functions.

#### F-TF.9: Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

Correlation last revised: 9/16/2020

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.