Question

For f (x) = StartFraction 6 x cubed minus x Over 2 x cubed minus x EndFractionthe ratio of the leading terms of the function is and Limit of StartFraction 6 x cubed minus x Over 2 x cubed minus x EndFraction as x approaches infinity= . These limits indicate there is an asymptote of .

Answer 1

Answer:

3, 3, and y=3

Step-by-step explanation:

got it right on edge

Answer 2

A ratio expresses the number of times one number contains another. The ratio of the given polynomial is equal to 3.

What is a Ratio?

A ratio expresses the number of times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.

Given the polynomial function, f(x)=(6x³ - x)/(2x³ - x). The leading coefficient is the constant of the term that has the highest power in a given polynomial. Therefore, the leading coefficient of the numerator and the denominator are 6 and 2, respectively. Thus, the ratio of the constant is,

Ratio = 6/2 = 3

Hence, the ratio of the given polynomial is equal to 3.

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