Holt Algebra I 51 LT FLE1 Distinguish between situations that can be modeled with linear functions and with exponential functions WarmUp Wednesday 04 February 2015 Solve 2 x 3 ID: 434251
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Slide1
Identifying Linear Functions
Holt Algebra I
– 5.1
LT: F.LE.1 - Distinguish between situations that can be modeled with linear functions and with exponential functions.Slide2
Warm-Up
Wednesday, 04 February 2015
Solve 2
x – 3y = 12 for y.Graph for D:{-10, -5, 0, 5, 10}.Slide3
When is the graph of a line a linear function?
Graphed functions or equations form a straight line, creating a
linear function
.Once an equation or function is graphed, it is called a linear function.Can you draw an example?Slide4
How Many Linear Functions
D
o
You See?
There are 2 linear functions.Slide5
Rules for Linear Equations
Every coordinate is different.
Every coordinate has a different, unrepeated,
x-value.The graphed line is straight.The graphed line is NOT vertical.Slide6
What Is The Relationship Between a Change in
x
- and a change in
y-values?
A constant change in
x
corresponds to a constant change of
y in linear functions.***The constant change produced through addition and subtraction is called ARTHIMATIC SEQUENCES.
NOT A LINEAR FUNCTIONSlide7
What is Another Way to Determine
if a Function is Linear?
A function is a linear equation if the equation can be written in the
standard form.Standard Form: Ax
+ By = C
What do
A
, B, and C stand for?
They are all real numbers (coefficients)
A
&
B
cannot be equal to 0
A
,
B
, &
C
cannot be fractions
Are there any rules for
x
and
y
?Slide8
Rules for x
and
y
…both variables have exponents of 1. **x1 = xx and
y are not multiplied together.x and y will not be denominators, exponents, or under the radical (√ ) symbol.
Can you rewrite the following in
standard form
?
3
x
+ 2
y
= 10
y
– 2 = 3
x
-
y
= 5
x
Already in standard form
3
x – y
= -2
5
x
+
y
= 0Slide9
Tonight’s Homework
5.1 (pg. 300-301): 21-45 odd, 50, 51