Function Family Album
12
Square Root Functions
Real life:
f(x) = x
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Graphing a square root function:
You can plug in x values into your equation to take the place of x. By doing this it will give you your y value and once you get this y value you are able to come up with your coordinates and graph them.
ex:
f(x)= x
x y
4
2
3
9
Now graph your coordinates
4
16
25
5
citations:
http://www.purplemath.com/modules/graphlog3.htm
http://www.mathsisfun.com/algebra/linear-equations.html
http://www.purplemath.com/modules/expofcns.htm
https://www.mathsisfun.com/algebra/quadratic-equation.html
http://msenux.redwoods.edu/IntAlgText/chapter9/section1.pdf
http://www.purplemath.com/modules/graphabs.htm
http://jwilson.coe.uga.edu/emt668/emt668.folders.f97/wynne/cubic/cubic%20functions.html
http://mathbitsnotebook.com/Algebra1/FunctionGraphs/FNGTypeSquareRoot.html
Quadratic Equations
2
Standard form:
ax +bx+c=0
Real life:
Cube Root
In this equation you will be getting the inverse of a cubic function in my example your get the inverse of y=x
3
3
y=
x
Real life:
x y
a,b and c are known as values.
x is the variable.
a cant be 0
Make your t chart:
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-1.587
-4
-3
-1.442
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2
-2
-1.26
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ex:
2x +5x+3=0
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-1
if you add 3 to your equation it will
move your graph up two units vise versa
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0
a=2 b=5 c=3
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1
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2
1.2599
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1.4422
3
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1.5874
4
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To graph a quadratic you can plug is your x values for x and this allows you to find the value of y. this will give you your coordinates of the graph
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Exponential Equations
Real life:
2
f(x)=x
x y
2
4
3
6
0
-2
-4
-3
-6
1
2
8
4
asymptote- 0
For every input of x you will get an out put of y and that will give you your coordinates of x and y
logarithmic
Real life:
y= log x
b
x y=log (x)
Graph your cordinates:
ex:
2
__
0.125
log (0.125)=-3
2
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log (0.25) =-2
o.25
2
log (0.5)=-1
0.5
Linear Equations
2
__
1
log (1)=0
Real life:
Intercept Form:
y=mx+b
2
log (2)=1
->
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->
2
y-intercept
4
log (4)=2
slope
2
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8
log (8)=3
standard form:
Ax+By=C
2
16
log (16)=4
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y-intercept = B
x-intercept = C
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slope = -A
2
A
B
C
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2
If you would have solved for log (x)+3
it would have moved the graph to the right 3 units
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_
ex)
Y>2x-3
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y-intercept = (0,-3)
Cubic
_
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Slope = 2
3
y= x
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1
Broken
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.
Real life:
make your t chart:
0>-3
_
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x y
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x-intercept = (2,0)
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.
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-27
-3
3
-8
-2
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-1
If you add 3 to your equation like y=x +3 it will move all your points up 3 units vise versa to subtracting 3 by moving it down 3 units
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0
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1
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2
8
3
27
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Linear Absolute Value
Real life:
The absolute vale of a number is written as IaI witch represents the distance between a and 0 on a number line. This has two solutions: x=a and x=-a because both numbers are at the distance from 0
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To solve:
Ix+7I = 14
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x+7=14
-7
-7
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x=7
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now make a x=-7 because both 7 and -7 are 7 numbers away from 0
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