Which graph represents the function f(x)=5-5x2/x2?

Note: When degrees of top and bottom are same, the Horizontal asymptote would be the ratio of leading coefficients of top and bottom.Given rational function: f(x) = .

We need to explain, which graph is correct graph for the given rational function.

Let us find some properties for the given  rational function: f(x) = .

Let us find vertical asymptote first.

In order to find vertical asymptote, we need to set denominator expression equal to 0 and solve for x.

Therefore

x^2 =0

x =0.

Let us find Horizontal asymptote now.

We have leading coefficient of top is -5 and leading coefficient of bottom is 1.

Let us find the graph with vertical asymptote at x=0 and Horizontal Asymptote y =-5.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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