SOLUTION: which is the range of f(x) = -(x over 3) to the power of 2? a. f(x) greater than and equal to 0 b. f(x) greater than and equal to 3 c. f(x) less than and equal to 3 d. f(x) l

Algebra ->  Rational-functions -> SOLUTION: which is the range of f(x) = -(x over 3) to the power of 2? a. f(x) greater than and equal to 0 b. f(x) greater than and equal to 3 c. f(x) less than and equal to 3 d. f(x) l      Log On


   

Question 118160: which is the range of f(x) = -(x over 3) to the power of 2?
a. f(x) greater than and equal to 0
b. f(x) greater than and equal to 3
c. f(x) less than and equal to 3
d. f(x) less than and equal to 0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think this is what you mean.
f%28x%29+=+-%28x%2F3%29%5E2
Since %28x%2F3%29 is raised to the power of two, it will always be positive.
Since there is a negative sign in front of it, f(x) will always be negative.
The only exception is at x=0, when it equals zero.
d.)The range is (-infinity,0).
+graph%28+300%2C+300%2C+-10%2C+10%2C+-5%2C+5%2C+-%28x%2F3%29%5E2%29%29+