Focus Plan: Function
Conjunction
PowerPoint Presentation
Focus Activity and Instruction
They say…
A picture is worth a thousand words

Is it?

Which means more?
USA Today reports:

A heavy battle took place between the U.S.
Army's 7th Cavalry Regiment and Iraqi
forces on March 25, 2003 near the village
of Al Faysaliyah, Iraq. A number of
civilians, including children, were injured.

Or this…
Retrieved from: http://www.usatoday.com/news/world/iraq/2003-07-06photo-boy_x.htm
This?

April 16, 2007
A gunman kills 32 people in a dorm and a
classroom building at Virginia Tech in
Blacksburg, Va. The suspect then dies by
gunshot himself.
Or This?
Retrieved from http://www.time.com/time/photoessays
In Math, as in life

Pictures often mean more than words
The following slides will give
you information about the
number of high school
dropouts there were in the U.S.
between 1995 and 2001
Which representation of the data was
easier to interpret?
The Table?
Or the Graph?
Classroom Instruction

TAKS Objective 2: The student will
demonstrate an understanding of the
properties and attributes of functions.

TEK A. 1 (D) Represent relationships
among quantities using concrete models,
tables, graphs, diagrams, verbal
descriptions, equations, and inequalities
Graph: A picture which represents a
relationship (usually functional)
For most people, a graph or diagram is
easier to comprehend than a chart with
words & numbers
In math

We must be able to represent relationships
in many ways
Today we will study –
representing math relationships
Meaning…
Can you take a functional relationship and
represent it with a:
table
model
graph
diagram
equation
inequality
description
mapping
Lets Practice

With some TAKS questions
The function f(x) = {(1, 2), (2, 4), (3, 6), (4, 8)}
Can be represented in several other ways. Which is NOT a correct
representation of the function f(x)?
H x is a natural number
less than 5 and y is twice x
J y = 2x and the domain
is {1, 2, 3, 4}
9th Grade 9 TAKS
Which Inequality best describes the
graph below?
A y > -¾ x + 5
B y < -4/3 x + 5
C y<-¾x+5
D y > -4/3 x + 5
Grade 9 TAKS
Which inequality best describes the
graph shown below?
F y ≥ -2x
G y ≥ -x – 2
H y ≥ -2x – 2
J
y≥ x–2
Grade 10 TAKS
Which mapping best represents the function
y = 2x2 + 1 when the replacement set for x
is {-1, 0, 3}?
Grade 10 TAKS
Which data set is best described by the
function y = -2x2 + 5x?
Grade 10 TAKS
Which quadratic equation best
represents the parabola shown below?
A y = x2 + x + 5
B y = x2 + 5
C y = -x2 + 5
D y = -x2 + x + 5
Exit Level TAKS
Represent the following LIST of ordered pairs
as a Table: {(-1, -4), (0, -1), (3, 8), (5, 14), …}
x
y
-1
-4
0
-1
3
8
5
14
…
…
Represent the following LIST of ordered pairs
as a Mapping: {(-1, -4), (0, -1), (3, 8), (5, 14)}
Represent the following LIST of ordered pairs
as a Verbal Description:
{(-1, -4), (0, -1), (3, 8), (5, 14)…}

The y-values for a set of points are 1
less than 3 times the corresponding
x-values
Represent the following LIST of ordered pairs
as an Equation:
{(-1, -4), (0, -1), (3, 8), (5, 14)…}
y = 3x - 1
Represent the following LIST of ordered pairs in
Functional Notation:
{(-1, -4), (0, -1), (3, 8), (5, 14)…}
f(x) = 3x - 1
Represent the following LIST of ordered pairs
as a graph:
{(-1, -4), (0, -1), (3, 8), (5, 14)…}
You must know how -
To represent functions in many ways and

To determine whether two different
representations of a function are equivalent