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ashleydawn6430
04.02.2020 •
Mathematics
what is the:
domain:
v.a:
rootsl
y-int:
h.a:
holes:
o.a:
also, graph it.
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Ответ:
a) The given function is
The domain refers to all values of x for which the function is defined.
The function is defined for
This implies that;
b) The vertical asymptotes are x-values that makes the function undefined.
To find the vertical asymptote, equate the denominator to zero and solve for x.
This implies that;
c) The roots are the x-intercepts of the graph.
To find the roots, we equate the function to zero and solve for x.
The roots are![x=-2,x=2](/tpl/images/0498/5597/329f8.png)
d) The y-intercept is where the graph touches the y-axis.
To find the y-inter, we substitute;
e) to find the horizontal asypmtote, we take limit to infinity
The horizontal asymtote is![y=0](/tpl/images/0498/5597/08c08.png)
f) The greatest common divisor of both the numerator and the denominator is 1.
There is no common factor of the numerator and the denominator which is at least a linear factor.
Therefore the function has no holes.
g) The given function is a proper rational function.
There is no oblique asymptote.
See attachment for graph.
Ответ: