SOLUTION: What is the range of y=sqrt(16-x^2)
Algebra.Com
Question 562208: What is the range of y=sqrt(16-x^2)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the range of y=sqrt(16-x^2)
----
Sqrt can never be negative.
Solve 16-x^2 >= 0
(x-4)(x+4) <= 0
Draw a number line and plot x = -4 and x = 4
----
Test a value in each of the three intervals:
(x-4)(x+4) < 0
---
If x = -10 ; -*- < 0 ; false
If x = 0 ; -*+ < 0 ; true, so solutions in [-4 , 4]
If x = +10 ; +*+ < 0 ; false
=====================================
Range: -4 <= x <= 4
========================
Cheers,
Stan H.
RELATED QUESTIONS
What is the domain and range of F(x,y)= √(16-x^2-16y^2 ) (answered by Edwin McCravy)
What are the domain and range of {{{ y =sqrt((x+4)/(x^2-5))}}}... (answered by solver91311)
What is the range of the function y = x^2? (answered by ewatrrr)
WHat is the range of... (answered by lwsshak3)
what is the range of y= -x^2-5x+6
(answered by josmiceli)
What is y+3= sqrt((x/16)(+2)) rewritten in the form y=... (answered by josgarithmetic)
What is the range of the function f(x) = sqrt(5 - 8x +... (answered by ikleyn)
What is the range of g if... (answered by Edwin McCravy)
Range of function sqrt(x^2-2x+5). Why is the range ≥2?, without... (answered by stanbon,Theo)