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Chapter 6: Functions & Graphs
N/A
23
Mathematics
9th Grade
11/20/2008

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Term

 

Relation

Definition

any set of ordered pairs:

 

{(1,2), (2,3), (4,5)}

Term
Inverse Variation (definition & equation)
Definition
  • where y changes opposite of x
  • xy=k or y = k/x
Term

all the names for "X"

Definition

domain

independent variable

 

Term
Direct Variation (definition & equation)
Definition
  • where y changes directly with x
  • y = kx
Term
function notation for y = 3x + 7
Definition
f(x) = 3x + 7
Term
Y-Coordinate
Definition

The 2nd number in an ordered pair

 

(x, y)

(8, 2)

Term
use f(x)= 2x + 5 to evaluate f(5d)
Definition

f(5d) = 2(5d) + 5

= 10d + 5

 

f(5d) = 10d + 5

Term
What is a solution set for an equation?
Definition

its where an ordered pair can be plugged into an equation and it makes a true statement:

 

(2,2) --> y = 3x - 4

            (2) = 3(2)-4

             2 = 6 - 4

             2 = 2 --> (2,2) is a solution :)

Term
Vertical Line Test
Definition

If a vertical line is placed anywhere on the graph and only crosses once, then the graph represents a function.

[image]

Term
all the names for "y"
Definition
  1. range
  2. dependent variable
  3. f(x)
Term
constant, "k"
Definition
a plain ol' number
Term
X-coordinate
Definition

it is the first number in an ordered pair:

(x, y)

(8,2)

Term
Complete the sentence: "A ______ is an equation whose graph is a straight line"
Definition
linear equation
Term
The set of all second coordinates of a set of ordered pairs is called the ______.
Definition
Range
Term

Equations that are functions are written in _______

Definition
functional notation
Term

With direct variation, when x = 0, y = ____

Definition

0

Term
The domain of {(-2,3), (0,4), (1,5)} is ________
Definition
{-2, 0, 1}
Term

As x increases in value, y decreases in value in an ________ variation.

Definition
inverse
Term
Any set of ordered pairs is a ________
Definition
relation
Term
The graph of an inverse variation ________ pass through the origin while the graph of a direct variation _____ pass through the origin
Definition
does not, does
Term
True or False? A function is a relation, but a relation cannot be a function.
Definition
True
Term
A direct variation is a linear function that can be written in the form _______
Definition
y=kx
Term
In a ______ the x values are all unique
Definition
function
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