All categories

2 years ago

HELP PLEASE!! Based on the table, which best predicts the end behavior of the graph of f(x)?

Mathematics

2 answers:

Mrac [35]2 years ago

6 0

The answer would be D, it's pretty self explanatory if you look at the choices. Hope this helps!

adelina 88 [10]2 years ago

4 0

Solution: The correct option is option D.

Explanation:

The end behavior is the behavior of function as the input of the function approaches to very large value and very small value.

If a function is f(x), then at $x\rightarrow \infty$ and $x\rightarrow -\infty$ the value of f(x) approaches to either infinity or negative infinity which defines the end behavior.

From the given table it is noticed that the as x decreases and approaches to large negative values then the values of the function is also approaches to the large negative values. According to the table as $x\rightarrow -\infty$ , $f(x)\rightarrow -\infty$ .

From the given table it is noticed that the as x increases and approaches to large positive values then the values of the function is approaches to the large negative values. According to the table as $x\rightarrow \infty$ , $f(x)\rightarrow -\infty$ .

Since only option D satisfy the both conditions, therefore the correct option is option D.

You might be interested in

A dormitory has 40 students---12 sophomores, 8 juniors, and 20 seniors. Which of the following is equal to the number of ways to

Maurinko [17]

Answer:

The number of ways is equal to $12!8!20!$

Step-by-step explanation:

The multiplication principle states that If a first experiment can happen in n1 ways, then a second experiment can happen in n2 ways ... and finally a i-experiment can happen in ni ways therefore the total ways in which the whole experiment can occur are

n1 x n2 x ... x ni

Also, given n-elements in which we want to put them in a row, the total ways to do this are n! that is n-factorial.

For example : We want to put 4 different objects in a row.

The total ways to do this are $4!=4.3.2.1=24$ ways.

Using the multiplication principle and the n-factorial number :

The number of ways to put all 40 in a row for a picture, with all 12 sophomores on the left,all 8 juniors in the middle, and all 20 seniors on the right are : The total ways to put all 12 sophomores in a row multiply by the ways to put the 8 juniors in a row and finally multiply by the total ways to put all 20 senior in a row ⇒ $12!8!20!$

4 0

2 years ago

What is the quotient (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?

timofeeve [1]

We need to find the quotient of the given division problem.

$\frac{x^{3}-3x^{2}+3x-2}{x^{2}-x+1}$

In order to find its quotient, we will use long division.

$x^{2}-x+1$ ) $x^{3}-3x^{2}+3x-2$

First of all, we put x in the quotient as $x^{2}$ goes into $x^{3}$ , x times.

So, we get:

$x^{2}-x+1$ ) $x^{3}-3x^{2}+3x-2$ (x

$\text{ ..................}x^{3}-x^{2}+x$

Upon subtracting, we get:

$\text{....................}-2x^{2}+2x-2$

We can see that $x^{2}$ goes into $-2x^{2}$ , -2 times, therefore, the next term in the quotient will be -2. This makes our quotient as (x-2).

5 0

2 years ago

Read 2 more answers

Bryan’s golf coach suggested he take some golf lessons. The Pro at Windy Fairways charges $20.00 per month plus $10.00 per lesso

Aneli [31]

Bryan has to take 8 classes for both Pro's to be the same price.

Step-by-step explanation:

Given,

Monthly charges of Pro at Windy = $20.00

Charges per lesson = $10.00

Let,

x be the number of lessons

W(x) = 10x +20

Monthly charges of Sunny Sands = $100.00

They offer unlimited classes.

S(x) = 100

For the price to be same;

W(x) = S(x)

$10x+20=100\\10x=100-20\\10x=80$

Dividing both sides by 10

$\frac{10x}{10}=\frac{80}{10}\\x=8$

Bryan has to take 8 classes for both Pro's to be the same price.

Keywords: function, division

Learn more about division at:

#LearnwithBrainly

5 0

2 years ago

Ben draws a circle with a radius of 7 inches what is the circumference of ben's circle in inches ? round to the nearest whole nu

Zolol [24]

It is approximately 43.96 inches

5 0

1 year ago

Line segment JL is an altitude in triangle JKM. Which statement explains whether JKM is a right triangle? Round measures to the

natulia [17]

Answer:

C. JKM is not a right triangle because KM ≠ 15.3.

Step-by-step explanation:

We can see from our diagram that triangle JKM is divided into right triangles JLM and JLK.

In order to triangle JKM be a right triangle $KM^{2}=JK^{2}+JM^{2}$ .

We will find length of side KM using our right triangles JLM and JLK as $KM=KL+LM$ .

Using Pythagorean theorem in triangle JLM we will get,

$LM=\sqrt{JM^{2}-JL^{2}}$

$LM=\sqrt{8^{2}-5^{2}}$

$LM=\sqrt{64-25}$

$LM=\sqrt{39}=6.244997998\approx 6.24$

Now let us find length of side KL.

$KL=\sqrt{JK^{2}-JL^{2}}$

$KL=\sqrt{13^{2}-5^{2}}$

$KL=\sqrt{169-25}$

$KL=\sqrt{144}=12$

Now let us find length of KM by adding lengths of KL and LM.

$KM=12+6.24=18.24$

Now let us find whether JKM is right triangle or not using Pythagorean theorem.

$KM^{2}=JK^{2}+JM^{2}$

$18.24^{2}=13^{2}+8^{2}$

$18.24^{2}=169+64$

$18.24^{2}=233$

Upon taking square root of both sides of equation we will get,

$18.24\neq 15.264337522473748$

$18.2\neq 15.3$

We have seen that KM equals 18.2 and in order to JKM be a right triangle KM must be equal to 15.3, therefore, JKM is not a right triangle and option C is the correct choice.

6 0

1 year ago

Read 2 more answers