The "parent function" is y = (log to the base 2 of) x
The domain of this function is (0, infinity) (all real numbers greater than zero).
The range of this function is the same as above.
If you replace "x" with "x+1" in the parent function, the associated graph will look the same as that of the given function, EXCEPT that it will be translated by 1 unit to the left.
After this has happened, that "-3" will shift the entire new graph downward by 3 units.
The polynomial function is a cubic polynomial function with a general equation of y = ax^3 + bx^2 + cx + d. a is given to be -1. roots make y = 0
when x = 1
y = -1(1) + b + c + d = -1 +b+c+d = 0
when x = 2
y = -1*8 + 4b + 2c + d = -8 + 4b+c+d = 0
when x =k
y = -k^3 + k^2b + kc + d = 0
when x = 3, y =8
8 = -27 + 9b + 3c + d
<span>b=7/3 , c=23/3 , d=−9
</span>k1<span> = 9.3556</span>
k2<span> = -2.71051</span>
k3<span> = 0.35491</span>
800 + 60 + 3 + 0.1 + 0.04 + 0.001
To find the x int, we will sub in 0 for y and solve for x...um...r
- 2r + 1/2y = 18
-2r + 1/2(0) = 18
-2r = 18
r = -18/2
r = -9
so the x int is (-9,0)
(2x)sqrt 2- 64y2 is the answer
