Question

5. [20 pts] For the function ?(?) = (4?−8)/(?^2−?−6) answer the following to sketch the graph....

5. [20 pts] For the function ?(?) = (4?−8)/(?^2−?−6) answer the following to sketch the graph. Do not use a graphing calculator.

a. [2 pts] Determine the domain of the function, write your answer in interval notation:

b. [4 pts] Find the x-intercept(s), if any.

c. [2pts] Find the y-intercept, if any.

d. [2 pts] Find the vertical asymptotes, if any.

e. [2 pts] Find the horizontal asymptote(s) or slant asymptote, if any.

f. [4 pts] Determine whether the graph of f(x) crosses the horizontal or slant asymptote, if yes find where.

g. [4 pts] Sketch the graph of f(x). Label all intercepts, all asymptotes, and any other points used, if any.
Math   Precalculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For the function f(x) = ? 3−1 ? 2−9 , find any slant asymptotes and sketch...
For the function f(x) = ? 3−1 ? 2−9 , find any slant asymptotes and sketch the graph by finding any vertical asymptotes, horizontal asymptotes, x intercepts, y intercept.
Sketch the graph of the function f(x) = x − 4 / x + 4 using...
Sketch the graph of the function f(x) = x − 4 / x + 4 using the guidelines below, a. Determine the domain of f. b. Find the x and y intercepts. c. Find all horizontal and vertical asymptotes. d. Determine the intervals of increasing/decreasing. e. Determine the concavity of f.
Find traits and sketch the graph the equation for a function g ( x ) that...
Find traits and sketch the graph the equation for a function g ( x ) that shifts the function f ( x ) = x + 4 x 2 − 16 two units right. Label and scale your axes. Domain: x – Intercepts: y – Intercept: Vertical Asymptotes: Holes: End Behavior: Range:
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
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)
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...
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.
5. (10 pts) Let ?(?) = ?^2−1/ 2?^2+3?+1 a) Simplify the function and find all asymptotes...
5. (10 pts) Let ?(?) = ?^2−1/ 2?^2+3?+1 a) Simplify the function and find all asymptotes algebraically. b) Sketch the graph of ?(?) with the help of a calculator, indicate the asymptotes, the possible hole, and the x- and y-intercepts on your graph.
Consider the function ?(?) = log3(3? + 15) − 4. Use algebra to determine the domain,...
Consider the function ?(?) = log3(3? + 15) − 4. Use algebra to determine the domain, range, asymptote, ?-intercept, and ?-intercept (if any). [6 pts] Sketch the graph. [4
For the rational function f(x)= (3x^3 - 27x^2 + 60x) / (2x^2 + 2x - 40)...
For the rational function f(x)= (3x^3 - 27x^2 + 60x) / (2x^2 + 2x - 40) find the domain, x-intercepts, y-intercept, and vertical asymptote/ vertical asymptotes.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT