Unit 5 Review! Objective: to review examples of functions from geometry Common Core State Standards 8.F.1; 8.F.2; 8.F.3; 8.F.4; 8.F.5; 8.G.9

Linear Equations A linear equation is an equation with a graph that is a straight line. There are different ways to represent an linear equation: Words Table Graph/Ordered Pairs Equation

Relations Relation: any set of ordered pairs; contains both the domain (x- coordinates) and range (y-coordinates).

Functions function: a relation in which each member of the domain is paired with exactly one member of the range ** The members of the domain do not repeat, the members of the range may repeat in some cases** function table: a table organizing the domain, rule and range of a function independent variable: the variable in a function with a value that is subject to choice (x-coordinate) dependent variable: the variable in a relation with a value that depends on the value of the independent variable (y- coordinate)

Functions linear function: a function in which a graph of the solutions forms a line nonlinear function: a function whose rate of change is not constant; the graph of a nonlinear function is not a straight line quadratic function: a non-linear function in which the greatest power of the variable is 2

1)Graph the points: if it’s on the same straight line, it’s linear! 1)Find the rate of change: if constant, it’s linear! 2)Find the Rule: if the power of the variable is equal to one, it’s linear! Linear vs. Non-Linear

Function Notation Output Input Name of Function Example f(-3) if f(x) = 2x+1 2(-3) + 1 = = 5

Vertical Line Test (pencil test) If any vertical line passes through more than one point of the graph, then that relation is not a function. Are these functions? FUNCTION! NOPE!

Discrete vs. Continuous Data Discrete Data is a type of data that can be represented on a number line or graph with only Integers. Continuous data makes up the rest of the real world data types. This type is usually associated with some sort of measurement: height, temperature, …

Properties of Functions Y = f(x): read y as a function of x X values: independent variables, domain, input values Y values: dependent variables, range, output values Initial Value: where the function starts (value of the function when x = 0, aka y-intercept!) Rate of Change: how quickly something changes (change in y over change of x aka slope!) Slope Intercept Form: use to find the initial value y = mx+b

**You can compare two or more different functions with the various representations. Best way to compare is to convert everything to the same representation!**

Volume of Cylinders, Cones & Spheres The volume of a 3D figure is the amount of space that the object occupies. The volume is the number of cubes the object can hold. Each cube represents a unit of measure called a cubic unit

Let’s Practice! MAP PLUS BOOKLET QUESTIONS #5, 7, 12, 13, 14, 15, 20, 21, 24, 27, 29, 42, 47, 50, 52, 53, 55, 58, 61, 63, 66, 70, 73, 76 Exit Ticket After reviewing and practicing Unit 5, rate yourself on how you feel about the same questions in the MAP Plus Book.