Question: A rational function has the following properties: - An x-intercept at (-3,0) - A hole with an x-coordinate of 2 - A vertical asymptote at

A rational function has the following properties:

- An x-intercept at (-3,0)

- A hole with an x-coordinate of 2

- A vertical asymptote at x=0

- A horizontal asymptote at y=4

1) Find the possible equation for f(X) where f(x) has a degree if 2 in the numerator. (factored form)

2) Find the coordinate pair of the hole

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!

Q:

Identify the appropriate description for the following rational function. 3 f( x ) = X+4 Choose the correct description below. O A. The vertical asymptote is x = - 3. O B. There is a "hole" in its...

Q:

Find an equation for a rational function with the following properties: 1. vertical asymptotes at x = 4 and x = 6 2. zero at x = 11 3. horizontal asymptote at y = 11 Leave your answer in factored...

Q:

d 7. Given the function f(x) =x2 -5, determine the value of f( f (-1)). A. -8 B. -4 C. 11 D. 16 Use the following information to answer the next question An orchestra has 2 violinists, 3 cellists,...

Q:

Do this question Question 30 (3 points) Write an equation for a rational function whose graph has all the indicated features, no more and no less: . Vertical Asymptote of = NOON . Horizontal...

Q:

6. Create an equation for a rational function that has all of the following properties: . A hole at x = 2 . Vertical asymptote at x = - 2 . Horizontal asymptote at y = 1 . y-intercept at - 2

Q:

6. Create an equation for a rational function that has all of the following properties: . A hole at x = 2 . Vertical asymptote at x = - 2 . Horizontal asymptote at y = 1 . y-intercept at - 2

Q:

Initials: 4. Which function has a horizontal asymptote with equation y = = A ) S ( x ) = = 2 .x - 3 C) S ( x ) = 1 x - 3 7.x + 8 2.x + 8 B) S (x) = - 7x+8 D) S(x ) = 2x -3 2.x - 3 7 x +8 5. Which...

Q:

Show work Draw a graph of a rational function with the following properties: Vertical asymptotes at x = -2 and x = 2. x -intercepts at (-1,0) and (5,0) y -intercept at (0, -2) Horizontal asymptote y...

Q:

Show work Draw a graph of a rational function with the following properties: Vertical asymptotes at x = -2 and x = 2. x -intercepts at (-1,0) and (5,0) y -intercept at (0, -2) Horizontal asymptote y...

Q:

Show work Draw a graph of a rational function with the following properties: Vertical asymptotes at x = -2 and x = 2. x -intercepts at (-1,0) and (5,0) y -intercept at (0, -2) Horizontal asymptote y...

Q:

Given the following Mayan Number, write the equivalent Base-10 number in the Answer Box. Each row (place value) is separated with white space. Your Answer: |

Q:

Oval Company produces four products for a joint cost of P10,000. The firm could sell the products at the split-off point for the following amounts: M - P15,000 I - P10,000 L - P2,000 O - P0 At...

Q:

Suppose Bob dies intestate leaving Dina, his a widow, and two children, Ed and Fred, with five grandchildren. Under the UPC, if the estate is distributed per stirpes: the grandchildren will re . one...

Q:

While TechMan maintains high standards in producing electronic components and manufacturing tools, some manufacturing defects are inevitable. For the year ended 30 June 2023, TechMan recorded net...