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Math Unit 1 and 2 Recap

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Functions and Linear Functions

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Compléter

Math Unit 1 and 2 RecapVersion en ligne

Functions and Linear Functions

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1

chicken function output x y function square output

Function : A relationship between two sets of numbers in which each input value has only one value .

A function can be graphed using the input values as the - coordinates and the output values as the - coordinates .

A produces one output value for one input value . A counterexample can show an equation where one value can be input and produce 2 values as . This counterexample is not a .

2

pairs output turkey independent dependent input y true x plane

Graph of a function : Includes all points on the coordinate that make the function .

Domain : The set of all - coordinates in the ordered pairs that represent a relationship between numbers . This represents the , or independent value .

Range : The set of all - coordinates in the ordered that represent a relationship between numbers . This represents the output , or value .

3

rise 3 vertical fraction 4 slope horizontal run vertical 2 2 1

Important Tips :
" A straight line on a coordinate plane can be , horizontal , or diagonal . "
" The slope of the side lengths will remain the same between similar triangles ( for example : 2 / 3 = / 6 ) . "

" The slope of a line can be found using any points on the line using the ratio of the vertical to the run .
The ratio written as a can then be reduced , if necessary , to represent the .
For example , a line going through the points ( 1 , 2 ) and ( 9 , 6 ) has a slope of 4 / 8 which can be reduced to / .

4

proportional horizontal 4 run line 3 rise line 2 equivalent

Proportional relationship : A relationship between 2 ratios that are .

Slope : The steepness of a , which is also the unit rate in relationships .

The slope can be determined using any points on a straight by finding the ratio between the vertical rise of the line and the run of the line . For example , a line that passes through ( 0 , 0 ) and ( 4 , 1 ) has a vertical of 1 and a horizontal of 4 , so the slope of the line is 1 / .

5

intercept m Slope 1 plane m slope z y line

Unit rate : A comparison of 2 measurements in which one of the terms has a value of .
Graph proportional relationships on the coordinate by using the unit rate as the .

Linear function : A function that produces a straight when graphed on the coordinate plane .
A linear function can be written as an equation in slope - form .
? - intercept form through the origin : An equation in the form y = mx , for a line going through point ( 0 , 0 ) with a slope of . ? Slope - intercept form : An equation in the form y = mx + b , for a line that crosses the - axis at b with a slope of

6

output plane words lettuce pairs equation

Functions can be represented in four ways :
? Numerically : Representing a function as numbers in an input / table .
? Graphically : Graphing a function on the coordinate by using ordered : ( input , output ) .
? Verbally : Writing the relationship between numbers in a function in .
? Algebraically : Writing a function as an involving variables .

 
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