I NTRODUCTION TO L INEAR F UNCTIONS. W HAT DID WE LEARN ABOUT FUNCTIONS ? We spent the last unit discussing functions. We found the independent variable,

INTRODUCTION TO LINEAR FUNCTIONS

WHAT DID WE LEARN ABOUT FUNCTIONS?

We spent the last unit discussing functions. We found the

independent variable, __, the dependent variable, __,

the __________, the ______, and the ________for the function. This

unit we will be looking at a specific type of function –

___________________.

xy

equation

tablegraph

Linear Functions

SIMILARTIES

Functions Linear Functions

Differences:

Both have tables.Both have graphs.

Both have equations.

Both have a domain and rangeBoth have independent and

dependent variables.

Both can be continuous, the data is connected.

Functions can be discrete, the data is not connected.

WHAT DOES A LINEAR FUNCTION LOOK LIKE ON A GRAPH?

A ________ __________ is a function that on a graph the solutions, ______, are represented by a _________

linear function(x,y)line.

EXAMPLES OF FUNCTIONS:

Is it a function? Then is it a linear or nonlinear function?

Yes, it is a function.The graph is a line. It is a linear function.

Yes, it is a function.The graph is not a line. It is a nonlinear function.








No, not a function.



No, not a function. Yes, it is a function.The graph is not a line. It is a nonlinear function.







No, not a function.Yes, it is a function.The graph is a line. It is a linear function.





VOCABULARY FOR LINEAR FUNCTIONS

Linear function – function with a graph that is continuous

Linear equation – equation whose graph is a straight line

X intercept – the point where a line crosses the x axis of a graph

Y intercept – the point where a line crosses the y axis

Rate of change – how the steepness of a line is changing

Slope – the steepness of the line on a graph

Slope formula – the formula used to find the slope between two ordered pairs

Slope intercept form – y = mx + b – a form used to graph linear functions

Point slope from – y – y1 = m(x – x1) Domain – the list of all x values Range – the list of all y values Independent variable – the input you choose

for x Dependent variable – the output you get

when you choose the input and apply the function rule

Function rule – the rule that defines the relationship between x and y


Positive slope – the line on a graph moves in an upward direction from left to right



Negative slope – the line on a graph moves in a downward graph from left to right




Zero slope – the slope of a horizontal line




Zero slope – the slope of a horizontal line Undefined slope – the slope of a vertical

line

I NTRODUCTION TO L INEAR F UNCTIONS. W HAT DID WE LEARN ABOUT FUNCTIONS ? We spent the last unit discussing functions. We found the independent variable,

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