algebratwo.py

Created by thabo

Created on January 06, 2025

1.68 KB


Set Notation ->Domain {x|_<x<_}
               Range  {y|_<y<_}
Interval notation -> (x,x]
                     [y,y)
Infinite or not equal to -> (0)
Equal to -> []

End behavior 
As x  -> -infinite is the left side
As x  -> +infinite is the right side
ANSWER MUST LOOK LIKE
As x  -> +infinite F(x) -> __
if it has the line its 
f(x) approches the number the line
is on becuase it will never reach it

Write the coordnates of the zeros
Find every point where the X axis 
is crossed answer should look like
(4,0)(-1,0)(5,0)

State where the graph is increasing
Increasing is when it is heading
towareds the top right 
The answer should be two X points
where it starts and ends 
do it for as many times as there are
increasing points same for -

State where the graph is -/+
The answer should be two x points
where it starts and where it ends 
(-x,x)  not always negitive

Find the average rate of change
X = _  X = _
look at the graph find the other point
then use the formula

Y2 - Y/X2-X1


how to draw a function

f(x)=-X + 6 with Domain -3<_x<4


plug numbers into the X into
F(x) Make sure you stop at -3 and 4
and color in the hole if its <_
and leave it open if its <

If you get a similar question 
with a different notation just remeber
 [ means its (<_ and make sure you 
 add the arrow if its infinate 
 
 
 
3x^2 + 18x -48 = 0
divided by three
x^2 + 6x -16 = 0
plus 16
x^2 + 6x =16
(B/2)^2 REMEBER THIS (B is 6)
x^2 + 6x + 9 =16 +9
convert
(x + 3)^2 = 25
square root
x + 3 = 5
-3
X = 3 +- 5 (remeber plus or mins )
After you need to split to two answers

x = 8
x = - 2


-x^2 + 5 = 8x^2 - 2
subtract eight X squared
-9x^2+5 = -2
Minus five
-9x^2 = -7
divided by -9
x^2 = 7/9
squared
x = +- 
-

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