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).

A) f(x): y-intercept is and g(x): y-intercept is (0,0)

B) f(x): asymptote is x= 0 and g(x): asymptote is x= 4.

Step-by-step explanation:

We are given the functions, and g(x) graphed.

A): We know that, 'y-intercepts are the points where the graph of the function cuts y-axis'

That is, 'y-intercepts are obtained when x= 0'.

So, we have,

i.e. .

Thus, the y-intercept of the function f(x) is the point .

Furhter, from the graph of g(x), we see that,

The graph of the function g(x) crosses y-axis at the point (0,0).

Thus, the y-intercept of the function g(x) is the point (0,0).

B): We know that, 'asymptotes are the lines that approaches the curves but does not meet them'.

Since, the function has a numerator of lower degree than the denominator.

Thus, x= 0 is the horizontal asymptote of the function f(x).

Also, from the graph of g(x), we see that, The line x= 4 is approaching the curve infinitely.

Thus, the vertical line x= 4 is the asymptote of the function g(x).

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation:

the correct answer is 1: 2

step-by-step explanation:

hope this your welcome : )