Question
Asked Jul 3, 2019
2 views

how can you figure out the end behavior of the function 1/2(x-1)(x+1)^3(x-2)^2

check_circle

Expert Answer

Step 1

Given:

The function is 

help_outline

Image Transcriptionclose

1 (x-1)(x+1 (x-2) 2

fullscreen
Step 2

Result used:

Leading coefficient test:

  1. If the degree is even with positive leading coefficient, then the graph of the function will rise to both left and right.

2.When the degree is odd with positive leading coefficient, then the graph of the function will fall to the left and rises to the right.

  1. If the degree is even with negative leading coefficient, then the graph of the function will fall to both left and right.

4.When the degree is odd with negative leading coefficient, then the graph of the function will rise to the left and falls to the right.

Step 3

Explanation:

The end behavior of the given function can be computed as follows.

Observe the nature ...

help_outline

Image Transcriptionclose

1 (x-2x5 - 4x* 6x2 +7x - 4x-4). 2 Simplify the given function as

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: Multiply. Use the distributive property.   -2(2a-4b)

A: The given expression is –2(2a–4b).

question_answer

Q: A chef at a local diner wishes to increase the amounts of ingredients shown below to make a proporti...

A: The proportion of black beans to tomatoes in the original recipe is 1 1/2 to 1.  The new recipe has ...

question_answer

Q: Solve the given system of equations. 5x+2y-5z 7 3x-4y+3z -31 6x-5y+ 6z - 59 Select the correct choic...

A: Method of Substitution:

question_answer

Q: Function g is related to the parent function. Identify the parent function  f. ​ g(x)=4-[[x]] a. Con...

A: Consider the given function:

question_answer

Q: #9 Directions: Write the equation of the line in S.I. and S.F.

A: It is given that the equation is passing through the point (6,-4) and perpendicular to the line x-4y...

question_answer

Q: Determine whether the given ordered pair is a solution of the system. (3,-5) 2x+ 3y 9 3x-2y 21 solut...

A: We will plug x=3 and y=-5 in 2x+3y=-9 and check if it works. It works.

question_answer

Q: find the equation of a circle whose diameter has endpoints (-3,-3) and (-3,6)

A: We have been given endpoints of diameter of circle as (-3,-3) and (-3,6) and we need to find the equ...

question_answer

Q: Explain how the vertical line test is used to determine whether a graph represents a function. Show ...

A: The basic definition of a function is that for every unique input x there is a unique output y.the v...

question_answer

Q: Find the coordinates of the vertex of the quadratic functions beneath:   y=3x2 y=3x2-2 y=-x2+3

A: (a)We can compare with quadratic equations and find a , b and c