What is the end behaviour of this radical function?
[tex] f(x) = - 2 \sqrt[3]{x + 7} [/tex]
![What Is The End Behaviour Of This Radical Function? [tex] F(x) = - 2 \sqrt[3]{x + 7} [/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/9DP7gdN1aelbUuN4BBXT2kt5nNgDGUzb.jpeg)
Answers
Answer: The square root function f(x)=√x has domain [0,+∞) and the end behaviour is. as x→0 , f(x)→0. as x→∞ , f(x)→∞. Note: "end behavior"
Step-by-step explanation:
So, the sign of the leading coefficient is sufficient to predict the end behavior of the function. To predict the end-behavior of a polynomial function, first check whether the function is odd-degree or even-degree function and whether the leading coefficient is positive or negative.
The end behavior of the function is, when x approaches positive infinity, f(x) approaches negative infinity.
Option A is correct.
End behavior of function:We have to find the end behavior of the given radical function.
To check end behavior, we have to check limit of function at x tends to infinity and x tends to minus infinity.
Given function are,
[tex]f(x)=-2\sqrt[3]{x+7}[/tex]
We can not put [tex]x=-\infty[/tex], because variable under square root must be greater than equal to zero.
When we check limit at [tex]x=\infty[/tex].
[tex]\lim_{x \to \infty} f(x)= \lim_{x \to \infty} -2\sqrt[3]{x+7}=-\infty[/tex]
Hence, the end behavior of the function is, when x approaches positive infinity, f(x) approaches negative infinity.
Learn more about the end behavior of the function here:
https://brainly.com/question/1365136
Related Questions
which equation represents the line that passes through (5,8) and (9,2)
Answers
First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:
y-y=m(x-x)
The first y is 8 and the second one is 2
The first x is 5 and the second one is 9
Plug it in:
8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2
*NOTE: another way to find m is by calculating it (y-y)/(x-x)
Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b
y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)
8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.
Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.
m=-3/2
b=31/2
We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)
SO OUR EQUATION IS=
y=(-3/2)x+31/2
Hope you understand this, feel free to ask me anything!
w
Maureen paid $198.75 for a stereo system, plus a sales tax of $15.90. Approximately, what is the sales tax percent?
A.
7%
B.
8%
C.
12.5%
D.
13.5%
Answers
Answer:
D
Step-by-step explanation:
13.5% will work
Have a great day
y + 2 = - 3 ( x - 4 )
Answers
Answer:
i think it's y = 3x + 10
Step-by-step explanation:
hope this helps =￣ω￣=
Answer:
Slope: -3
y intercept: (0,10)
x | y
0 | 10
[tex]\frac{10}{3}[/tex] | 0
-4-2/3x= -8
what is x?
Pls hurry I need help.
I will be posting a lot of math questions so once you answer this pls move onto the next one I post.
Answers
Answer:
x= 2/3
Step-by-step explanation:
here u go
Answer:
x= 6
Step-by-step explanation:
An elevator is on the tenth floor and drops 7 floors but then rises 12 floors. On what floor is the
elevator currently located?
a. 5TH floor b. 7TH floor
C. 12TH floor d. 15TH floor
Answers
Answer:
D. 15th floor
Step-by-step explanation:
10-7=3, 3+12=15
someone pleaseeee help❤️
Answers
Answer:
106
Step-by-step explanation:
the angles combined equal 180 degrees. so to put it into an equation:
x+10+64=180
x+74=180
x=106
Step-by-step explanation:
All you do is add 10+64 which equals 74 the you subtract that from 180 then it is 106.
Find the value of y when a = 7, b= 16 and c = -3 given that y = 5a + 8c - b
Answers
Answer:
-5
Step-by-step explanation:
Given expression:
y = 5a + 8c - b
a = 7,
b = 16,
c = -3
Insert the given parameters and solve;
y = 5(7) + 8(-3) - 16
y = 35 - 24 - 16
y = 35 - 50
y = -5
Select the correct answer. Consider functions h and k. What is the value of ?
Answers
Answer:
Option (C)
Step-by-step explanation:
If two functions are f(x) and k(x),
(f o g)(x) = f[g(x)]
From the question given in the picture attached,
We have to find the value of (h o k)(1).
(h o k)(x) = h[k(x)]
= h[k(1)]
= h(3) [Since, k(1) = 3]
= 28 [Since, h(3) = 28]
Therefore, (h o k)(1) = 28 will be the answer.
Option (C) will be the correct option.
The correct option is C.
The calculation is as follows:
If two functions are f(x) and k(x),
(f o g)(x) = f[g(x)]
Now according to the picture
We have to find the value of (h o k)(1).
(h o k)(x) = h[k(x)]
= h[k(1)]
= h(3) [Since, k(1) = 3]
= 28 [Since, h(3) = 28]
Learn more: brainly.com/question/16911495
9) Aunt Rosie made 50 pies for Mardi Gras.
She made 10 apple pies.
She made 12 pecan pies.
She made 8 chocolate cream pies.
What percent of the pies were pecan?
Answers
Answer:
25 percent
Step-by-step explanation:
Answer:
24%
Step-by-step explanation:
Use Percent equation (p = n w) or part of the whole = percentage times the whole
so we would have
12 = n 50
12/50 = n
0.24 = n
0.24 = 24%
please! im having trouble
Answers
Answer:
C. ∠K ≅ ∠R
Step-by-step explanation:
ΔJKL ~ ΔQRS
∠J ≅ ∠Q
∠K ≅ ∠R
∠L ≅ ∠S
all you need is in the photo
Answers
Answer:
For the one that is in front of my right now the answer is (1,0) if you are asking for the interception point
Step-by-step explanation:
(x,y)
1 you need to move right one time to get the interception point and 0 times for going up or down so the equation will look like this:
(1,0)
what is the answer for this one 4x + 16 = ?
Answers
Answer:
4(x+4)
Step-by-step explanation:
Factor 4x+16
4x+16
=4(x+4)
Explanation: 4x + 16 = 24
4x + 16-16 = 24 -16
4x=8
4x/4=8/4
x=2
Question 1
Here is an inequality:
7x+6
2
< 3x + 2
Select all of the values that are a solution to the inequality.
Answers
Inequalities are used to relate unequal expressions
The values that are a solution to the inequality are: A. x = -3 and B. x = -2
The expression is given as:
[tex]\mathbf{7x + 6 < 3x + 2}[/tex]
Collect like terms
[tex]\mathbf{7x -3x < -6 + 2}[/tex]
[tex]\mathbf{4x < -4}[/tex]
Divide both sides by 4
[tex]\mathbf{x < -1}[/tex]
[tex]\mathbf{x < -1}[/tex] means that: the values of x are less than 1.
Hence, the values that are a solution to the inequality are: A. x = -3 and B. x = -2
Read more about inequalities at:
https://brainly.com/question/11612965
Justin and his children went into a bakery and where they sell cookies for $0.75 each and brownies for $1.25 each. Justin has $15 to spend and must buy no less than 12 cookies and brownies altogether. If Justin decided to buy 7 brownies, determine the maximum number of cookies that he could buy.
Answers
1.25*7=8.75
8.75-15.00=6.25
6.25/0.75=8.333333...
Since you can’t but .3333 cookies
The most they can get is 8
7+8=15 and it’s more than twelve
What is an equation of the line that passes through the points (−2,−3) and (−1,2)?
Answers
The rule T(5,-3) is used for point (5,-1). Where is the translated point in the coordinate system
Answers
Answer:
Quadrant 4
Step-by-step explanation:
(5,-1), 5+5, -1-3 (10,-4) which is bottom left which is quadrant 4
The point (5, -1) is located in the fourth quadrant. Therefore, option B is the correct answer.
Given that, the rule T(5,-3) is used for point (5,-1).
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
Quadrant rules:
First Quadrant: - x > 0 and y > 0. Thus, the sign of a point will be ( +, +).
Second Quadrant: - x < 0 and y > 0. Thus, the sign of a point will be ( -, +).
Third Quadrant: - x < 0 and y < 0. Thus, the sign of a point will be ( -, -).
Fourth Quadrant: - x > 0 and y < 0. Thus, the sign of a point will be ( +, -).
By studying above rules we understood (5, -1) in fourth quadrant.
The point (5, -1) is located in the fourth quadrant. Therefore, option B is the correct answer.
To learn more about the translation visit:
https://brainly.com/question/17485121.
#SPJ2
who made up axillaries?
Answers
Answer:
Base: Formed by the skin that stretches from the arm to the thoracic cage; forms the indentation known as the axillary fossa. Anterior wall: Made up of the pectoralis major and minor, forming the anterior axillary fold.
copy and pasted but it helped me
Step-by-step explanation:
have a good day sir/ma'am
Select the correct answer. What is the decimal equivalent of 10 ? ОА. 0.3 OB. 0.03 OC. 0.3 OD. 0.33 E. 0.003
Answers
what Express 0.08 as a percent
Answers
Answer:
8%
Step-by-step explanation:
What is the slope of y = -1 + 3x?
What is the slope of y = -x + 7?
What is the slope of y = 3x + 8?
What is the y-intercept of the equation: y = 4x - 9?
What is the y-intercept of y = −3x − 2
Need this in 20 min
Do not spam!
I will report you if you spam!
Answers
Answer:
slope of y= -1+3x is "3"
of y=-x+7 is "-1"
of y=3x+8 is "3"
i) y intercept = "-9"
ii) y intercept = "-2"
Given the pre-image ABCD and the image after a dilation, A'B'C'D', what is true about the polygons? Check all that apply.
Answers
Answer:the length AB is 2
The length A’B’ is 3
The scale factor is 3/2
Step-by-step explanation:
Answer:
A. The length AB is 2.
B. The length A'B' is 3.
D. The scale factor is 3/2
Step-by-step explanation: just did it on edge
What does the y-intercept of the line represent
A. Average time spent doing sit ups
B. Average time spent running
C. Total time spent running
D. Average distance run
Answers
Answer:
Answer:C. Total time spent running
Step-by-step explanation:
graph talking about distance and ya can't move when doin sit ups so its total time spent running
I'm on my sisters account and I'm in 4th grade my sis is in school help please
Answers
Your using ThinkCentral
Don't answer the question yet because I don't know if my answer is correct.
This is what I think you should do
3/4 x 2/1 ( I got the 2/1 from the other 3/4 ) = 3/2 or 1 1/2
I cross multiplied the 4 and the 2.
Hope my answer helps.
Solve the following equation for n:
8 + n = 16.
Answers
Answer:
n=8
Step-by-step explanation:
Answer:
n = 8
Step-by-step explanation:
8 + n = 16
Subtract 8 from both sides;
n = 8
Find an expression for c that will make 9x2 + 12xy +c aperfect square trinomial
Answers
Answer: To find the value , divide the coefficient of by and square the result.
Step-by-step explanation:Use the formula ( b 2 ) 2 in order to create a new term in order to find the perfect square trinomial.
9 x 2 − 12 x + c + 4
What is the value of k?
Answers
Answer:k=2.4
Step-by-step explanation:
Please help maybe anyone know how to calculate just a) ir b)?
Answers
Answer:
A is 16 and B is -243 and my calculator is a smart calulator
3) substitute the y=-2x+5 into the equation and solve for x.
2x+y=5
2y=2x-8
*x=1
*x=8
*x=-3
*x=-8
*x=3
question #2
4) Use the -value you found in the last question to find the numerical value of y .
2x+y=5
2y=2x-8
*y=1
*y=-1
*y=8
*y=-2
*y=-8
please answer need it by 11:00pm
Answers
Answer:
Y=3
Step-by-step explanation:
x=1
Y=-2(1)+5
Y=-2+5
Y=3
Mofor and Eugene each improved their yards by planting hostas and ivy. They bought their
supplies from the same store. Mofor spent $208 on 14 hostas and 12 pots of ivy. Eugene spent
$152 on 13 hostas and 6 pots of ivy. Find the cost of one hosta and the cost of one pot of ivy.
Answers
ff
d
d
d
d
d
d
d
d
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d
d
that’s the answer
If you need 30 teaspoons of vanilla extract, how many ounces of vanilla do you need?5
If you need 30 teaspoons of vanilla extract and vanilla is sold in a 4 oz. bottle, how many bottles of vanilla should you buy?8
How much leftover vanilla will you have?
pls need help
