# MAFS.912.F-IF.3.8

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Algebra & Modeling - 36%

## MAFS.912.

Functions & Modeling - 36%

## MAFS.912.

Statistics, Probability, & the Numbering System - 28%

## What You Need To Know...

MAFS.912.F-IF.3.8 – Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

1. The benchmark will be assessed using Drag and Drop Response, Equation Response, Graphic Response, Hot Spot Response, Multi-select Response, Multiple Choice Response or Open Response.
2. Items may require students to factor or complete the square in a quadratic function to show zeroes, extreme values, and symmetry of the graph.
3. Items may require students to use the properties of exponents to interpret expressions for exponential functions.
4. Items may require students to identify zeroes, asymptotes, end behavior, and characteristics of trig functions (period, midline, amplitude and phase shift).
5. Functions may also include square root, cube root, piecewise-defined functions, step functions, and absolute value functions.

## Example Four

Symmetry Using Different Forms
Using Factored Form
Factored Form a>1
Using Vertex Form
Vertex Form a>1
Varying Forms