Question: If the graph of a rational function R has the horizontal asymptote y = 2, the degree of the numerator of R equals the degree

If the graph of a rational function R has the horizontal asymptote y = 2, the degree of the numerator of R equals the degree of the denominator of R. Explain why.

Step by Step Solution

★★★★★

3.39 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

With rational functions the only way to get a ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Determine whether the statement is true or false. a. If f(x) = (x + a) (x + b) (x - c), then f(- b) = 0. b. The graph of a rational function never crosses a vertical asymptote. c. For the function...

Explain why the graph of a rational function cannot have both a horizontal asymptote and an oblique asymptote?

Is it possible for the graph of a rational function to have all three types of asymptotes? Why or why not? To work an extended application analyzing the total numbers of military personnel on active...

If the graph of a rational function R has the horizontal asymptotey=2, the degree of the numerator ofR equals the degree of the denominator ofR. Explain why.

Transformations section Given thatf(x)=x^2, select all answers right 2 left 2 up 2 up 3 down 3 right 3 2.Domain and interpreting functions section Match the interval with the correct statements....

what the vertical asymptote be ? It is a bit confusing. Can the graph of a rational function have both a horizontal and a vertical asymptote? Give an example to support your answer. Yes, the graph of...

The figure below shows the graph of a rational function f. It has vertical asymptotes x = -2 and x = 4, and horizontal asymptote y = 0. The graph as x-intercept (3, 0) and passes through the point...

. . ict'ufed below For questions 23 26, refer to the graph of the rational function, x)' p 23. What factor is in the numerator of the rational JnOn graphed to the right that is NOT also in the...

The graph of the rational function f left parenthesis x right parenthesis equals fraction numerator x minus 2 over denominator x squared plus 4 x minus 5 end fraction will have a vertical asymptote...

Consider the following polynomial function. fir} = x(x2)(x+ 1}2 Answer the questions regarding the graph off. Then, use this information to graph the function. (allChoose the end behavior of the...

Determine conditions on the b;'s, if any, in order to guarantee that the linear system is consistent. 4x2 -2x1 + 11x2 + X1 X3 The system is 3x3 -3x + 11x2 + 3x3 = = = b b2 b3 for of b1,b2, and b3.

In this hypothetical case study and writing assignment, you will assess whether a particular state can enact trade barriers that conflict with the North American Free Trade Agreement (NAFTA). Write a...

when interest rates change? 7 - 6 . BOND VALUATION An investor has two bonds in her portfolio, Bond C and Bond Z . Each bond matures in 4 years, has a face value of $ 1 , 0 0 0 , and has a yield to...

1.2. If the demand for drive-in movies is more elastic for couples than for single individuals, it will be optimal for theaters to charge one admission fee for the driver of the car and an extra fee...

In Problems 1968, solve each equation, if possible. 6 - 2m = 3m + 1

In Problems 1130, solve each equation by factoring. 2(2u 2 - 4u) + 3 = 0

In Problems 1968, solve each equation, if possible. 3 + 2n = 4n + 7

\f\fMatlab Instructions: First, enter the data and relevant equations into Matlab. *Tip: it might be easier to put the respective data set into just one matrix with multiple rows/columns; for...

Assuming you are working as a financial advisor for a large investment bank, you are required to present a written report to summarize the factors (such as business background, corporate management,...

Answer the following questions given the provided switch statements. What is the value of posAdj if curEst is 4 ?