suppose the university bursar said that 600 student entered for business mathematics 300 entered for statistics while 173 studen
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29.
As ,
.
This can be easily verified by looking at the graph (graph of a quadratic equation).
30.
The growth of a population is not linear, it's exponential.
31.
Exponential growth > polynomial, so .
35.
The question is asking V(t) for t = 40.
36.
The point of symmetry of a quadratic equation is at its vertice:
The line is x= 3.
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
d) The y-intercept is where the graph touches the y-axis.
To find the y-inter, we substitute;
into the function
e) to find the horizontal asypmtote, we take limit to infinity
The horizontal asymtote is
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.
