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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

Guest Mar 30, 2018
 #1
avatar+86890 
+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

CPhill  Mar 30, 2018

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