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# Need Help With a few different types of problems today??

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Thanks, some of these I kind of need to refresh up on, lol.

1.

Graph the functions on the same coordinate plane.

f(x)=−2x

g(x)=x^2−3

What are the solutions to the equation f(x)=g(x)?

Options (get each correct one)

−3

−2

0

1

3

2.

Which characteristic is correct for the function f(x)=−2x^3+3x ?

Odd

Even

Neither even nor odd

both even and odd

3.

What is (f+g)(x)?

f(x)=x^2−36

g(x)=x^3+2x^2−10

(f+g)(x)=

Thanks a million!!!!!!!!!!!!!

Mar 15, 2019

#1
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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   Mar 15, 2019
#2
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Thanks for the help CPhill! PhoenixForever  Mar 15, 2019
#3
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No prob !!!   CPhill  Mar 15, 2019