In lesson 3.05 we discussed comparing the key features of two functions given in different forms. given the functions below:

a) compare the y-intercepts of f(x) and g(x). use complete sentences.

b) compare the vertical asymptotes of f(x) and g(x). use complete sentences.

note: points will be deducted for not answering in complete sentences. you may use a graphing calculator to you visualize f(x).

Step-by-step explanation:

a) Compare the y-intercepts of f(x) and g(x). Use complete sentences.

The  functions f(x) and g(x) are different, the y-intercepts  for each function is y-intercepts (0,-1/3) for f(x)= 1/x-3 and y-intercepts  (0,0) for g(x) as shown on the graph.

b) Compare the vertical asymptotes of f(x) and g(x). Use complete sentences.

The  functions f(x) and g(x) have different Vertical Asymptotes, f(x)= 1/x-3 Vertical Asymptotes is x = 3 while g(x) as shown on the graph Vertical Asymptotes is   x = 4. Both functions do have Horizontal Asymptotes that are the same y = 0

step-by-step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|