+0  
 
0
214
1
avatar

1.

Which characteristic is correct for the function f(x) =−2x^4+3x^2?

 

even

neither even nor odd

both even and odd

odd

 

2.

Graph the functions on the same coordinate plane.

f(x)=7

g(x)=x2+2x−8

 

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

Select each correct answer.

 

−5

−3

3

5

7

 Mar 30, 2018
 #1
avatar+95884 
+2

f(x)  =  -2x^4  +  3x^2

 

If even, then    f(x)  =  f(-x)

 

f(-x)  =  -2(-x)^4  + 3(-x)^2   =   -2x^4  + 3x^2   =   f(x)    ⇒   even

 

 

 

 

f(x)   =  7

f(x)  = x^2 + 2x  - 8

 

Set these equal

 

x^2 + 2x  - 8  = 7   subtract 7 from both sides

 

x^2 + 2x  - 15  =  0        factor

 

(x + 5) ( x - 3)  =  0

 

Set each factor to 0

 

x +  5  =  0              x -  3   =  0

 

x  = -5                   x   =  3 

 

 

 

cool cool cool

 Mar 30, 2018

7 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.