Question

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.

Answer 1

Explanation:

a) y-intercept is when x=0

f(0)

=1/(0-3)

=-1/3

g(0)=0 from the graph

b) vertical asymptotes are vertical lines that f(x) and g(x) get close but do not exist there

Answer 2

Explanation:

a) For the function f, the y-intercept is at (0, -1/3). For the function g as shown in the graph, the y-intercept is at (0,0) and it is higher than f.

b) For the function f, the vertical asymptote is at x=3. For the function g as shown in the graph, the vertical asymptote is at x=4 and is larger than that of f.