Giving the right answer a branleist
1 answer:
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Answer:
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, <em>'y-intercepts are the points where the graph of the function cuts y-axis'</em>
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).