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1.

Which description is correct for the x-intercept(s) of Function A and Function B?

 

Function A:

x g(x)
0 −3
7 2
−2 0
1 0
4 −5

Function B: f(x)=|x|−4

 

  • Function A has two x-intercepts.
    Function B has one x-intercept.

  • Both functions have the same x-intercept(s).

  • Each function has one x-intercept.

  • Each function has two x-intercepts.

 

2.

Which comparison is correct for the values of f(x) and g(x) when x=−3?

 

Function A: f(x)=−x2+4

Function B:

xg(x)

−5−2

−40

−31

−24

  • f(−3)=g(−3)
  • f(−3)>g(−3)
  • f(−3)

Thanks so much for all your help!

Guest Mar 17, 2018
 #1
avatar+14552 
+2

x-intercepts occur where y= 0

Function A   has TWO  at x=-2 and x=1

Function B has TWO where x = 4 and -4 

 

 

 

A when x = -3     -  (-3)^2 +4 = -5

B when x = -3                       =1       (given)      Whatever choice matches this...you didnt list one that does.

ElectricPavlov  Mar 17, 2018
 #2
avatar+7339 
+2

1.

 

Function A:

x g(x)
0 -3
7 2
-2 0
1 0
    4         -5    

 

Function B:

f(x)  =  |x| − 4

 

The x-intercepts of a function are the x values when that make the function equal 0.

In function A, the x-intercepts are  -2  and  1  .

In Function B, the x-intercepts are  4  and  -4 .

 

So each function has two x-intercepts.

 

 

2.

 

Function A:

f(x)  =  -x2 + 4

 

Function B:

x g(x)
-5 -2
-4 0
-3 1
    -2          4     

 

When  x = -3 ,  f(x)  =  f(-3)  =  -(-3)2 + 4  =  -9 + 4  =  -5

 

When  x = -3 ,  g(x)  =  g(-3)  =  1

 

-5   <  1         so...

 

f(-3)  <  g(-3)

hectictar  Mar 17, 2018

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