O POLYNOMIAL AND RATIONAL FUNCTIONSFinding the intercepts, asymptotes, domain, and range from the(a) Write the equations for all vertical and horizontalasymptotes. Enter the equations using the "and" button asnecessary. Select "None" as necessary.Vertical asymptote(s):Horizontal asymptote(s):(b) Find all x-intercepts and y-intercepts. Check all that apply.-41None2intercept(s):None01intercept(s):(c) Find the domain and range of f.Write each answer as an interval or union of intervals.-6Domain:Range:

Question
Asked Nov 28, 2019
2 views

Finding the intercepts, asymptotes, domain and range of the attached problem

O POLYNOMIAL AND RATIONAL FUNCTIONS
Finding the intercepts, asymptotes, domain, and range from the
(a) Write the equations for all vertical and horizontal
asymptotes. Enter the equations using the "and" button as
necessary. Select "None" as necessary.
Vertical asymptote(s):
Horizontal asymptote(s):
(b) Find all x-intercepts and y-intercepts. Check all that apply.
-4
1
None
2
intercept(s):
None
0
1
intercept(s):
(c) Find the domain and range of f.
Write each answer as an interval or union of intervals.
-6
Domain:
Range:
help_outline

Image Transcriptionclose

O POLYNOMIAL AND RATIONAL FUNCTIONS Finding the intercepts, asymptotes, domain, and range from the (a) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. Vertical asymptote(s): Horizontal asymptote(s): (b) Find all x-intercepts and y-intercepts. Check all that apply. -4 1 None 2 intercept(s): None 0 1 intercept(s): (c) Find the domain and range of f. Write each answer as an interval or union of intervals. -6 Domain: Range:

fullscreen
check_circle

Expert Answer

Step 1

(a) From the given figure, it is observed that the graph of the function is tends approaching to infinity at the points x = –4 and x = 2. This implies that x = –4 and x = 2 are vertical asymptote of the function that drawn in the given figure.

Also note that from the figure, as x approaching to infinity the graph of the function is tends to zero. This implies that y =0 is a horizontal asymptote.

That is,

Vertical asymptotes: x= -4 and x= 2|
Horizontal asymptote: y = 0|
help_outline

Image Transcriptionclose

Vertical asymptotes: x= -4 and x= 2| Horizontal asymptote: y = 0|

fullscreen
Step 2

(b) note that given graph is crossing the x-axis at the point x = –1 and it in...

х- intercept: -1
у: 1
- intercept
help_outline

Image Transcriptionclose

х- intercept: -1 у: 1 - intercept

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Other

Related Algebra Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Write an equation of the line that passes through (1,-5) and is parallel to the line define by 3x=4y...

A: Given:The required line passes through the point (1, –5) and parallel to the line 3x = 4y –6.The equ...

question_answer

Q: Solve for (x,y,z)for the following three equations using direct matrix inversion method  (1). 2x+6y-...

A: The given system of equation can be written in matrix form as,

question_answer

Q: Use the elimination method to find all solutions of the system of equations.     3x2  +  4...

A: The given system of equations are,

question_answer

Q: 1. Travis Thompson uses his credit card to obtain a cash advance of $600 to pay for his textbooks in...

A: Formula:

question_answer

Q: 15 2) Franco borrows a total of $5.000 in student loan from two lenders. One charges 4.1% simple int...

A: Let x be the amount borrowed at 4.1% and y be the amount borrowed at 6.1%. Then

question_answer

Q: I need help understanding how to solve eqations using the quadratic formula.

A: The Quadratic formula:

question_answer

Q: Trying to understand how to solve.

A: Click to see the answer

question_answer

Q: The exchange rate gives the value of one country's money in terms of another country's money. Recent...

A: The exchange gives the value one country’s money in terms of another country’s money. One British po...

question_answer

Q: A ship made a trip of 138 mi in 12 h. The ship traveled the first 54 mi at a constant rate before in...

A: let x be the rate of speed for first 54 mi.(x + 5) = rate of speed for remaining 84 mi.