Casio ED-WKBK-PRECALC Datasheet download pdf (Page 5)

Activity 4 • Algebra I with the Casio fx-9750GII

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Fun With Functions Activity

Functions help establish various types of numeric patterns, based upon whether

those functions are linear, quadratic, cubic, etc. Building a strong foundation in

Algebra includes a comprehensive study of linear functions. Functions are a rule

used to calculate values. Functions are written using a specific notation called

function notation. Each function has an independent and a dependent variable. The

independent variable is the value you get to choose or control. The dependent

variable is the value created when the independent variable is plugged into the

function. Another name for the independent variable is the “input” and for the

dependent variable is the “output”. We will define a series of coordinate points as a

relation.

In this activity, we will explore how to assign a single value to a variable and

evaluate a given function. We will also explore how to input a function and

generate a table of values as well as enter points in a data set and determine the

function.

Functions can be expressed in these different forms:

1. The Slope-Intercept Form of a Line is defined as y = mx + b; where m

represents the slope of the line, b represents the y-intercept, x represents the

independent variable and y represents the dependent variable.

2. The Standard Form of a Line is defined as Ax + By = C where A, B, and C

are integers and x represents the independent variable while y represents the

dependent variable.

3. f(x) is often described as function notation. In this example, where

f(x) = 5x – 3, x represents the independent variable and f(x) is synonymous

with y, representing the dependent variable.

Remember when graphing a function, it must pass the Vertical Line Test. A function

is defined as a relation where for every one x-value, there is one and only one y-

value. When looking at the graph, if any two points appear directly above each

other, the graph fails the vertical line test and thus, the relation is not a function.

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Casio ED-WKBK-PRECALC Datasheet Page 5