SOLUTION: Hi, could you help me with this?!:)Thanks a lot if you do:) Draw the graph pf f(x)=|x^2-4|. Consider the equation |x^2-4|=K. find the value of K for which the equation has a.)fo

Algebra ->  Graphs -> SOLUTION: Hi, could you help me with this?!:)Thanks a lot if you do:) Draw the graph pf f(x)=|x^2-4|. Consider the equation |x^2-4|=K. find the value of K for which the equation has a.)fo      Log On


   

Question 203261: Hi, could you help me with this?!:)Thanks a lot if you do:)
Draw the graph pf f(x)=|x^2-4|. Consider the equation |x^2-4|=K.
find the value of K for which the equation has
a.)four solutions
b.)two solutions
c.) no solutions
(Hint:1.)The graph will help you
2.)For each question there are many solutions
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Graph:
f%28x%29+=+abs%28x%5E2-4%29
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2Cabs%28x%5E2-4%29%29
Consider:
K+=+abs%28x%5E2-4%29 The graph is shown and K is the vertical axis.
a) There are four solutions for K = 2. (for example)
b) There are two solutions for K > 4.
c) There are no solutions for K < 0 (i.e. negative K)