3. To solve this problem you have to get the numerator and
denominator to simplest forms
Since there are
four
proportional
terms we can
group the
numerator so
we start of by
factoring out
the GCF
After doing that we end
up with this because
both sides are
multiplied by (x+9)
Because of difference
of squares we are
able to simplify it
even more
4. Since the denominator is not proportional we
must long divide using -6(given)
To long divide you must find out what you
have to multiply by x to get x³( its x²) then
multiply that by the rest of the polynomial
then subtract the new from the old and
repeat
We come out with this
Reduced
to
5. Now we must get what we need for
the graph out of the equations
Factored
Standard
Vertical Asymptote: -6,7 in denominator of factor form when we put 0 in for x
Horizontal Asymptote: 1 in standard form taking highest power then dividing
X int: -9,8 in numerator in factor form when we put 0 in for x
Y int: 12/7 taking to lowest powers from standard form and dividing
Hole: -8 in factored form when numerator and denominator are the same
7. Question 2
• Mark has 200 feet of fence he want to make a
fence around his garden and use his house as
one of the sides to make the garden bigger.
What is the maximum area Mark can have?
• Find domain and range when done
8. We must start of by making 2 equations that
show perimeter and area
Since we have 200 feet of fence and we have 3
sides 2 of which are the same the equation is
200=2x+y
9. We must solve for a now
Start of by solving the Perimeter formula
200-2x=y
Put this equation in for y in the area equation
A=x(200-2x)
A= -2x²+200x
10. To find the maximum value use the formula -b/2a to
find the x of the vertex
-200/-4= 50
Plug x into the equation to get the maximum
-2(50)²+200(50)=5000
D:(-∞,∞)
No number x cannot equal
R:(-∞,5000]
No minimum value and already found the
maximum
