Question: . Give an example of a rational function where the denominator is zero at x = a, but the graph does not have a vertical

. Give an example of a rational function where the denominator is zero at x = a, but the graph does not have a vertical asymptote at x = a. Why there is no vertical asymptote at x = a in your function from above.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

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 Mathematics Questions!

. Give an example of a rational function where the denominator is zero at x = a, but the graph does not have a vertical asymptote at x = a. Why there is no vertical asymptote at x = a in your...

1. Evaluate the limit, if it exists; otherwise give the reason why the limit does not exist. (a) lim cos x (b) lim V4x' + x - 2x) 2. (a) Find the horizontal and vertical asymptotes of the graph of...

Please and thank you Part I ) Vertical Asymptotes Complete the following table, then graph the given functions. Rational Function x-intercept y-intercept Equation of Domain Sketch the graph Vertical...

Please choose the answer and show your calculations/ explanations for each question/equation. 13. State how many imaginary and real zeros the function has. (1 point) f(x) = x 5 + 7x 4 + 2x 3 + 14x 2...

4. State the horizontal asymptote of the rational function. (2 points) f(x) = X' +8x - 2 x - 2 O None Oy= 1 Oy = -8 Oy = 2 5. Give an example of a rational function that has a horizontal asymptote at...

Answer the Bellow 4 questions with their parts in paper and do not use chatgbt and IA. 4. Determine a possible equation of eachof the following rational functions giventheir descriptions. a) A...

MHF4U Name: 6x-12 1. Given the rational function y = determine the following: [6 marks] 6-2x a) vertical asymptote b) horizontal asymptote c) x-intercept d) y-intercept e) graph the function. Display...

19. Discuss the asymptotic behavior of the function f (x) = 2x- 5x -12 3x2-1 1x-4 20. What, if any exist, are the coordinates of the holes in the graph of p(x) = 2x- + 3x -2, x2 - x- 6 ( 2x - 1) (x+...

2. (a) Find the horizontal and vertical asymptotes of the graph of the function f ( x ) = 15x2 + 7 2x -3 (b) Find the values of a and b for a rational function of the form y = ax with a x+b vertical...

It has a military aircraft and a submarine communication system at 100MHz. Assuming that the signal sent from the plane comes to the sea surface in a normal direction and has a power density of S =...

On December 31, 2009, you sign a contract to make annual deposits of $4,200 in an investment account that earns 10 percent. The first deposit is made on December 31, 2009. Required: 1. Calculate what...

11. A train is 10 m long and its mass is 72 tonnes, A similar model made of the same material is 40 cm long (1 tonne = 1000 kg) (i) Find the mass of the model. (#) Given that the tank of the model...

Please help it's urgent thank you. please write 400-450 words. thank you QUESTION 4 (20 MARKS) The success of any project is dependent on a diverse range of skills, abilities and competencies of the...

11. What is meant by the statement, as observers of social reality, we are always part of this reality?.

13. Give four examples of psychological Maginot lines.

10. What is meant by the statement, it is the expectation that something will happen that creates actions?.