Question

Give an example of a rational function f whose graph has the following properties. vertical asymptote:...

Give an example of a rational function f whose graph has the following properties.

vertical asymptote: x = 2
horizontal asymptote: y = 1

x-intercept: (5, 0)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For the rational function ?(?)=(?+3)(?−1)(?−3)(?+1)f(x)=(x+3)(x−1)(x−3)(x+1). Find the vertical asymptote(s): Note: If there is more than one,...
For the rational function ?(?)=(?+3)(?−1)(?−3)(?+1)f(x)=(x+3)(x−1)(x−3)(x+1). Find the vertical asymptote(s): Note: If there is more than one, use commas to separate your answers ?=x= Find the ?x-coordinate of each ?x-intercept: Note: If there is more than one, use commas to separate your answers ?=x= Find the horizontal asymptote: Note: If there is no horizontal asymptote, enter ‘none’ ?=y= Find the ?y-coordinate of the ?y-intercept: ?=y= Select the correct graph of ?=?(?)y=f(x):  ? Graph A Graph B Graph C Graph D Graph E...
Find a rational function with x-intercepts –2 and 5, y-intercept 5, and vertical asymptotes x =...
Find a rational function with x-intercepts –2 and 5, y-intercept 5, and vertical asymptotes x = 3 and x = 6. State the horizontal asymptote of the graph of the function.
Suppose that a function  f has the the following limits. What is true about the graph of...
Suppose that a function  f has the the following limits. What is true about the graph of the function? limx→−∞f(x)=5 and limx→−3f(x)=∞ Question 3 options: It has a vertical asymptote of y=−3 and a horizontal asymptote of x=5 It has a vertical asymptote ofx=−3 and a horizontal asymptote of y=5 It has a vertical asymptote of x=5 and a horizontal asymptote ofy=−3 It has a vertical asymptote of y=5 and a horizontal asymptote ofx=−3
f(x)=((2x+4)(5x+2))/((7x+8)(7x+6)) 1. Find the vertical asymptote(s). If there is more than one vertical asymptote give a...
f(x)=((2x+4)(5x+2))/((7x+8)(7x+6)) 1. Find the vertical asymptote(s). If there is more than one vertical asymptote give a list of the xx-values separated by commas. If there are no vertical asymptotes, type in none . x= 2. If this function has a horizontal asymptote, give its yy-value. If there is no horizontal asymptote, type in none y= 3. Find the xx-intercept(s). If there is more than one xx-intercept give a list of the xx-intercepts separated by commas (i.e.: (1,2),(3,4)). If there is...
create a rational function that has two vertical asymptotes and a horizontal asymptote other than y...
create a rational function that has two vertical asymptotes and a horizontal asymptote other than y = 0. Provide the equations of your vertical and horizontal asymptotes and discuss how you know that these are asymptotes.
Write the equation of a rational function with the following characteristics: Vertical asymptotes at x =...
Write the equation of a rational function with the following characteristics: Vertical asymptotes at x = 3 and x = -4, a horizontal asymptote at y = 0, no x-intercepts and a y-intercept at (0, 1/6). Consider the polynomial q(x) = 3x2 - 11x2 + kx + 8. Given that q(x) has a factor (x - 4), find the value of k: Hence or otherwise, factorize q(x) as a product of linear factors.
Find the vertical asymptotes, horizontal asymptote, and x and y intercepts of the following function and...
Find the vertical asymptotes, horizontal asymptote, and x and y intercepts of the following function and sketch a graph f(x) = (x^2 − 4) / (x^2 − 2x − 15)
Find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal or slant asymptote...
Find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal or slant asymptote of the function. Use that information to sketch a graph. g(x) = x-5/3x-1
Sketch a graph of a function having the following properties. Make sure to label local extremes...
Sketch a graph of a function having the following properties. Make sure to label local extremes and inflection points. 1) f is increasing on (−∞, −2) and (3, 5) and decreasing on (−2, 0),(0, 3) and (5,∞). 2) f has a vertical asymptote at x = 0. 3) f approaches a value of 1 as x → ∞ 4) f does not have a limit as x → −∞ 5) f is concave up on (0, 4) and (8, ∞)...
Determine the equation of the vertical asymptote and the equation of the slant asymptote of the...
Determine the equation of the vertical asymptote and the equation of the slant asymptote of the rational function. f(x)=−24x2−14x−5/3x+1 The equation of the vertical asymptote is     The equation of the slant asymptote is    
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT