10/5/21, 2:16 PM (12)
Which of the equations have the following end behavior?
As 2 +00, f(x) +-
As I + -oo, f(x) -
Select all that apply.
AN y = 23 (2 – 1) (2 – 2) (2 +6)
-
y=-2 (0 - 1) (- 2) (x+6)
-
y=-(x - 1) (3x - 2) (2+6) (4x +1
Dy=7(z – 5) (32 – 1) (2x + 5) (4x + 1)
-
Ey=
= - (- 3) (22 – 1) (7.0 + 5) (42 – 1)

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

apex says the answer is true