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0
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avatar+381 

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
avatar+111438 
+1

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

 

 

cool cool cool

 Mar 15, 2019
 #2
avatar+381 
+1

Thanks for the help CPhill! smiley 

PhoenixForever  Mar 15, 2019
 #3
avatar+111438 
0

No prob !!!

 

cool cool cool

CPhill  Mar 15, 2019

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