Question

Week 7

L7.1: Graphs of Polynomials: Identification and Characterization

LESSON

AQ7.1: Activity Question 1 - Not Graded

ASSIGNMENT

L7.2: Zeroes of Polynomial Functions

LESSON

AQ7.2: Activity Question 2 - Not Graded

ASSIGNMENT

L7.3: Graphs of Polynomials: Multiplicities

LESSON

AQ7.3: Activity Question 3 - Not Graded

ASSIGNMENT

L7.4: Graphs of Polynomials: Behavior at X-intercepts

LESSON

AQ7.4: Activity Question 4 - Not Graded

ASSIGNMENT

L7.5: Graphs of Polynomials: End behavior

LESSON

AQ7.5: Activity Question 5 - Not Graded

ASSIGNMENT

L7.6: Graphs of Polynomials: Turning points

LESSON

AQ7.6: Activity Question 6 - Not Graded

ASSIGNMENT

L7.7: Graphs of Polynomials: Graphing & Polynomial creation

LESSON

AQ7.7: Activity Question 7 - Not Graded

ASSIGNMENT

Week 07 - Tutorial 01

LESSON

Week 07 - Tutorial 02

LESSON

Week 07 - Tutorial 03

LESSON

Week 07 - Tutorial 04

LESSON

Week 07 - Tutorial 05

LESSON

Week 07 - Tutorial 06

LESSON

Week 07 - Tutorial 07

LESSON

Week 07 - Tutorial 08

LESSON

Week 07 - Tutorial 09

LESSON

Resource from Instructors

LESSON

Practice Assignment 7 - Not Graded

ASSIGNMENT

Practice assignment 7 - PDF solution

LESSON

Practice Assignment 7 : Video Solution

LESSON

Graded Assignment 7

ASSIGNMENT

Graded Assignment 7

Due date for this assignment: 2021-01-27, 23:59 IST.

You may submit any number of times before the due date. The final submission will be considered for grading.

You have last submitted on: 2021-01-27, 07:51 IST

Click here to download the PDF version of the Questions


NOTE:

There are some questions which have functions with discrete valued domains (such as month or year). For simplicity, we treat them as continuous functions.

Multiple Select Questions (MSQ):

Use the following graphs & information to answer the questions 1 & 2:

Consider the following graphs:





Domain for each one is [−4, 4].

1 point

Find out the correct answers.

 

f1f1 is an even function in the given domain

 

f2f2 is an even function in the given domain

 

f3f3 is an even function in the given domain

 

f4f4 is an even function in the given domain

 

f5f5 is an even function in the given domain

 

f6f6 is an even function in the given domain

1 point

Find out the correct answers.

 

f1f1 is an odd function in the given domain

 

f2f2 is an odd function in the given domain

 

f3f3 is an odd function in the given domain

 

f4f4 is an odd function in the given domain

 

f5f5 is an odd function in the given domain

 

f6f6 is an odd function in the given domain



Multiple Choice Questions (MCQ):

Use the following information to answer the questions 3 & 4:

A box has width which is 3 cm more than double the length, and has height which is 2 cm more than thrice the length of the box. The box is filled with small bricks each of whose lengths is one fourth of the length of the box. The width of each brick is 1 cm more than six times the length of the brick, and the height of each brick is 1 cm more than 8383 times the length of the brick.

1 point

Assuming xx (in cm) to be the length of the box, what is the volume (in cubic cm) of the box?

 

6x3+66x3+6

 

6x3+5x2+6x6x3+5x2+6x

 

6x3+13x2+6x6x3+13x2+6x

 

6x2+13x3+66x2+13x3+6

1 point

The maximum number of bricks can be kept in the box is

 4

 6

 12

 24

1 point

The consumption of new plastics in year xx after opening a company is given as a polynomial N(x)N(x) (in tonnes). The company also recycles the used plastics and regenerates them for use. The regenerated amount of plastic in year xx after opening the company is given as the polynomial R(x)R(x) (in tonnes). These polynomials are known to be applicable for the first 15 years of the company’s functioning.

Use the following notes to solve the question:

N(x)=−0.005x4+0.2x3−3x2+14x+70N(x)=−0.005x4+0.2x3−3x2+14x+70

R(x)=0.005x4−0.1x3+x2+xR(x)=0.005x4−0.1x3+x2+x

P(x)=0.01x4−0.3x3+4x2−13x−70P(x)=0.01x4−0.3x3+4x2−13x−70has exactly two real roots.

Q(x)=0.01x3−0.2x2+2x+7Q(x)=0.01x3−0.2x2+2x+7 has exactly one real root and it is negative.

Q(x)Q(x) is a factor of P(x)P(x).

When will the company regenerate more plastic than it consumes new plastics (years

from opening the company)?

​

Answer 1

what is your question

Step-by-step explanation:

From which class