Algebra II
posted by Matt .
I have a question
The range of y = 1/(x5) is All real Numbers
True or False
I think it is false because it should be all real numbers except y shouldn't equal 0. Is that correct or don't I understand itPlease explain if I'm wrong.
Thanks

you are correct,
If you graph it, the graph will approach the xaxis , but will never reach it.
For large positive values of x, the graph will be slightly above the xaxis,
for large negative values of x, the graph will be slightly below the xaxis
if you solve
0 = 1/(x5) and crossmultiply , you get
0 = 1 which of course is a contradiction. Thus our equaiton cannot have a solution, that is, y can never be zero.
Respond to this Question
Similar Questions

algebra
Find the domain and range of the function. 1. f(x)= x^2x I got: Domain= All Real Numbers Range= All Real Numbers > 1 (with a line under the greater than sign) 2. f(x)= 1x^2 I got: Domain= All Real Numbers Range= All Real Numbers … 
Algebra :P... again
Hi! Sorry.. but 1 more question? Direction: Find the domain of the function. Problem: y =  1 0 / 1 1  x [A] All real numbers except x= 11 [B] All real numbers except x= 0 [C] All real numbers except x= 10 [D] All real numbers except 
math
Please check. (4xy^2)(3x^4y^5) = 12x^3y^7 (2x)^5 (3x)^2 = 288x^7 (3x^2)^4 = 81x^8 True or False: the set of integers is a subset of the set of natural numbers. False All numbers are real numbers. True 
Algebra
57. Find the domain of: y= 5 _____ 2x+24 a. all real numbers except 12 b. all real numbers except 0.08 c. all real numbers except 0.08 d. all real numbers except 12 I still don't get how to do these, and this one looks even more … 
AlgebraPlease help
Where do I look for the domain in this The domain of y =1/(x6) + 3 Possible answers: All real numbers except x=6 All real numbers except x = 6 All real numbers except x=3 All real numbers except x= 3 Thank you 
Algebra 2 Could use help asap
I really am trying to work these problems out on my own. Please help If f(x)=3x^2 g(x)= 1/6+x find the following and give the domain (f+g) (x) (3x^2) + (1/6+x) x is all real numbers and x is not equal to 6 (fg) (x) (3x^2)  (1/6+x) … 
Algebra 2 help :)
Any number in the form of a+bi , where a and b are real numbers and b not equal 0 is considered a pure imaginary number. TRUE OR FALSE The minimum value is the smallest yvalue of a function. T RUE OR FALSE i2 = square root of 1. … 
Algebra 1 Please, check my answers!
1. What is ((12x^6 + x)) / ((4x^2))? A: 3x^4  1/4x 2. What is the greatest common factor of the terms of the polynomial 6x^3  18x^2 + 12x + 3? 
Algebra
For all real numbers a and b, 2a • b = a2 + b2 Is this true or false False a=1, b=2=>4=5 false 
Math
What is the domain and range fro the expentiral function f(x)=2x4^x1+3?