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amid [387]
2 years ago
6

Write the equation of a rational function f(x) = p(×)/q(x) having the indicated properties, in which the degrees of p and q are

as small as possible. More than one correct function may be possible. Graph your function using a graphing utility to verify that it has the required properties.
134.) f has a vertical asymptote given by x=3, a horizontal asymptote y=0, y-intercept at -1, and no x-intercept

135.) f has vertical asymptotes given by x=-2 and x=2, a horizontal asymptote y=2, intercept at 9/2, x-intercepts at -3 and 3, and y-axis symmetry

Please helppp, thank youu​

Mathematics
1 answer:
stellarik [79]2 years ago
6 0

Answer:

134. y = 3 / (x-3)    attachment picture 1

135. y = (2*(x+3)(x-3)) / (x+2)(x-2)    attachment picture 2

Step-by-step explanation:

134. y = 3¹ / (x¹-3)

135. y = (2*(x+3)(x-3)) / (x+2)(x-2)

Apply the asymptote properties to verify, such as compare the degree of numerator and denominator... denominator approach 0  etc.

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A school is organizing a weekend trip to a nature preserve.

For each student, there is a $50 charge, which covers food and lodging. There is also a $25 charge per student for the bus.

The school must also pay a $15 cleaning fee for the bus.

The total cost of the weekend is $3,765.

We need to find out how many students will be going on the trip.

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We simply divide the total cost by the cost of each item.

Example:

Total amount = 10

Each item cost = 2

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Find the charge of each student.

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Find the additional charge for the trip.

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