*Maths week 4 graded assignment Complete Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments *

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

For NAT type question, enter only one right answer, even if you get multiple answers for that particular question.

Notations:

$R$ = Set of real numbers $Q$ = Set of rational numbers

$Z$ = Set of integers

$N$ = Set of natural numbers

The set of natural numbers includes 0.

*1 point*

**Let $f:R→R$ and $g:R→R$ be two functions, defined as $f(x)=x_{3}−8x_{2}+7$ and $g(x)=−2f(x)$ respectively. Choose the correct option(s) from the following.**

### Accepted Answers:

*1 point*

**2. Which among the following function first increases and then decreases in all the intervals $(−4,−3)and(−1,2)and(5,6)$?**

### Yes, the answer is correct.

Score: 1

### Accepted Answers:

*1 point*

Fig – 1

Fig – 2

### Accepted Answers:

*1 point*

**4. Consider a polynomial function $p(x)=−(x_{2}−16)(x−3)_{2}(2−x)_{2}(x+9)$. Choose the set of correct options.**

### Accepted Answers:

*1 point*

**5. The height of a roller coaster at a given time is modeled by the polynomial function $h(t)=(−0.01t_{3}+0.35t_{2}−3.5t+10)(t+5)_{2}(t−5)(t+1)(2−t)_{3}$, where t represents time in seconds. Find the turning point(s) of the height function.**

### Yes, the answer is correct.

Score: 1

### Accepted Answers:

*1 point*

**6. Choose the correct options based on the data given in 5th question.**

### Yes, the answer is correct.

Score: 1

### Accepted Answers:

**7. An ant named $B$, wants to climb an uneven cliff and reach its anthill (i.e., home of ant). On its way home, $B$ makes sure that it collects some food. A group of ants have reached the food locations which are at $x−$intercepts of the function $f(x)=(x_{2}−20)((x−7)_{3}−1)$. As ants secrete pheromones (a form of signals which other ants can detect and reach the food location), $B$ gets to know the food location. Then the sum of the $x$-coordinates of all the food locations is**

### Yes, the answer is correct.

Score: 1

### Accepted Answers:

*1 point*

**8. The Ministry of Road Transport and Highways wants to connect three aspirational districts with two roads $r_{1}$ and $r_{2}$. Two roads are connected if they intersect. The shape of the two roads $r_{1}$ and $r_{2}$ follows polynomial curve $f(x)=(x−19)(x−17)_{2}$ and $g(x)=−(x−19)(x−17)$ respectively. What will be the $x−$coordinate of the third aspirational district, if the first two are at $x−$intercepts of $f(x)$ and $g(x)$.**

### No, the answer is incorrect.

Score: 0

### Accepted Answers:

*1 point*

Use this information to answer the following questions 9 and 10

*1 point*

**9. Polynomial expression which represents width of the box $W(x)$**

### Yes, the answer is correct.

Score: 1

### Accepted Answers:

*1 point*

**10. Polynomial expression which represents area of the base.**

### Yes, the answer is correct.

Score: 1

### Accepted Answers:

Use this information to answer the following questions 11 and 12.

**11. The company aims to reach a milestone of 5000 subscribers. How many months will it take to achieve this goal based on the polynomial function? (Note: $t>0$)**

### Yes, the answer is correct.

Score: 1

### Accepted Answers:

*1 point*

**12. Number of actual subscribers after one year; given that the polynomial function over estimates the actual subscribers by 60%**

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