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# ALG II Help

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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!

Mar 17, 2018

### 2+0 Answers

#1
+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.

Mar 17, 2018
#2
+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)

Mar 17, 2018