3. Raphael bought 14 pounds of meat to make hamburgers at the Fourth of
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Answer:
In order to find equation:
<u>Find slope</u>:
Then find equation using:
y - y1 = m(x -x1) where (x1, y1) are points, m is slope
Recall that a rational function:
has a vertical asymptote at x₀ if and only if:
Also, the roots of the above rational function are the same as P(x).
Since the rational function has a vertical asymptote at x=-1, we get that its denominator must be:
Since the rational function has a double zero at x=2 we get that its numerator must be of the form:
Finally, since the rational function has y-intercept at (0,2) we get that:
Simplifying the above equation we get:
Dividing the above equation by 4 we get:
Therefore, the rational function that satisfies the given conditions is:
Answer:
The numerator is:
The denominator is: