SOLUTION: Test algebraically whether the function is even, odd, or neither even nor odd. Then check your work graphically, where possible, using a graphing calculator. problem: f(x)=1/x^2

Algebra ->  Trigonometry-basics -> SOLUTION: Test algebraically whether the function is even, odd, or neither even nor odd. Then check your work graphically, where possible, using a graphing calculator. problem: f(x)=1/x^2      Log On


   

Question 218789: Test algebraically whether the function is even, odd, or neither even nor odd. Then check your work graphically, where possible, using a graphing calculator. problem: f(x)=1/x^2
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+1%2Fx%5E2
I notice that f%28x%29+=+f%28-x%29
That tells me the graph is symmetrical
about the y-axis. That makes the function even.
I also notice that the function can never be negative,
since x%5E2 can't be negative
Also, x can never be 0.
That would make f%28x%29 = infinity
+graph%28+400%2C+400%2C+-5%2C+5%2C+-10%2C+10%2C+1%2Fx%5E2%29+