Thanks, some of these I kind of need to refresh up on, lol.
Graph the functions on the same coordinate plane.
What are the solutions to the equation f(x)=g(x)?
Options (get each correct one)
Which characteristic is correct for the function f(x)=−2x^3+3x ?
Neither even nor odd
both even and odd
What is (f+g)(x)?
Thanks a million!!!!!!!!!!!!!
1. See the graph here, PF : https://www.desmos.com/calculator/xshyczl312
The solutions occur at x = -3 and x = 1
2. 2x^3 + 3x
If we can put -x into the function and come back to what we started with...it is even
So..... 2(-x)^3 + 3(-x) = -2x^3 - 3x = f(-x) ......not what we started with...so..not even
If f(-x) = -f (x) ......then it is odd
-f(x) = - [ 2x^3 + 3x ] = -2x^3 - 3x = f(-x)....so...it's odd
3. (f + g) x means f(x) + g(x) = [ x^2 - 36 ] + [ x^3 + 2x^2 -10 ] = x^3 + 3x^2 - 46