How many turning points can a degree 5 function have?

Answers

Answer 1

A degree 5 function can have up to five turning points. These turning points are also known as stationary points, inflection points, or extrema.

A degree 5 function is a polynomial of degree 5. This means that it is a function of the form f(x) = ax^5 + bx^4 + cx^3 + dx^2 + ex + f, where a, b, c, d, e, and f are constants. The degree of a function is determined by the highest power of the variable in the equation. In this case, the highest power of x is 5, and so the degree is 5. A degree 5 function can have up to five turning points. These turning points are also known as stationary points, inflection points, or extrema. A stationary point is a point on the graph of the function where the slope of the graph is either 0 or undefined, and an inflection point is a point on the graph of the function where the concavity of the graph changes. In order for a function to have a turning point, the derivative of the function must equal 0 at that point, and the second derivative of the function must not equal 0. If the second derivative does equal 0 at the point, then the point is a point of inflection, rather than a turning point. The number of turning points of a degree 5 function can be determined by finding the number of real roots of the equation f'(x) = 0, where f'(x) is the derivative of the function f(x). Since the degree of the derivative of a degree 5 polynomial is 4, this equation will have up to 4 real roots. This means that the degree 5 function can have up to five turning points.

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Related Questions

A cylindrical can has a diameter of 8 inches and a height of 12 inches. Find the volume of the can, in cubic inches, rounded to the nearest whole number.

Answers

Answer:

The rounded answer would lead you to 603.

If this is wrong in sorry.

The volume of the cylinder will be  [tex]V=602.88\ In^3[/tex]

What will be the volume of the cylinder?

Given that

The diameter d=8 inches r= 4 inches

The height of the cylinder h=12 inches

the volume of the cylinder will be

[tex]V= \pi r^2h[/tex]

[tex]V=\pi\times (4)^2\times 12[/tex]

[tex]V=602.88\ Inch^2[/tex]

Thus the volume of the cylinder will be  [tex]V=602.88\ In^3[/tex]

To know more about the Volume of cylinders follow

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Find the distance from A to C


12

74

^74

6

Answers

Answer:

12 i think I'm right. i don't know

Answer:

√74  or 74^(1/2)

Step-by-step explanation:

A (-2 , 4), C (3 , -3)

distance AC = √(x'-x)² + (y'-y)²

d = √(3 - -2)² + (-3 - 4)² = √5² + (-7)² = √74

Please help.. The math department is putting together an order for new calculators. The students are asked what model and color they prefer.

Answers

Answer:

The answer is D. Here is proof. PLEEEAAASE mark brainliest.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

help meeeeeeee pleaasseeeeeee. Also I need work

Answers

Answer:

27.5

Step-by-step explanation:

70(0.80)^10 + 20 = 27.51619276 which s about 27.5

Not sure how to do this one. Could use some help!

Answers

Answer:

0<x<3 and 8<x<9

Step-by-step explanation:

Increasing intervals always relate to x-values. The increasing interval is from (0,3) and (8,9).

What is the product of (x + 6) and (x + 1) ?

Answers

2
(2y +13y+15) there’s your answer papi

A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $13,and tickets cost $12.50 per person, including tax. What is the maximum number of people who can go to the amusement park?​

Answers

Answer:

8

Step-by-step explanation:

Let x be the number of people

12.5x + 13 < 125

x < 8.96

Max number of x is 8

Are these similar and what is the reason?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.

The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Step-by-step explanation:

so I will that they are similar

hi. how to give brainliest :-)..........​

Answers

Answer:

you have to be above ambitious to unlock brainiest answer

Step-by-step explanation:

Answer:

You got wait for 2 people to answer to this then at the bottom right theirs a crown click n that’s how u give brainliest

Step-by-step explanation:

This is Amy's family.
Her family of 6 people(4 adults and 2 children) went to Super Nintendo World last year. Although she couldn't remember what each tickets costed, she knew that her family paid $1700 total for the tickets.

use variable `a` for number of adult tickets
use variable `c` for number of child tickets
Write an equation that describes this situation.

Answers

Answer:

All of their tickets cost $425.00

Step-by-step explanation:

a= adults c=children

$1700 divided by a=4

$1700 divided by c=2

Create an eqaution in slope- intercept form with a slope of 3 and y- intercept of -25

Answers

Answer:

y = 3x - 25

Step-by-step explanation:

PLSS HELP ME I AM GOING TO CRY IF I DONT GET THIS ANSWER PLSS HELP ME What is the slope-intercept equation of the line below?

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

Hey!

==================================================================

Slope-Intercept Form: y - mx + b, where m is the slope and b is the y-intercept (point where x =0).

Since we know that the slope is -3, we substitute that in for m.

y = -3x + b

Now, we know the y-intercept is 4, so we substitute that in for b:

y = -3x + 4

==================================================================

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

       -Aadi x

Identify the lobe of the brain
a)frontal
b)temporal
c) occipital
d)parietal

Answers

Answer:

Frontal lobe: The part of each hemisphere of the brain located behind the forehead that serves to regulate and mediate the higher intellectual functions. The frontal lobes are important for controlling thoughts, reasoning, and behaviors.

the lobe of the brain located closest to the ear. Structures in the temporal lobe are important for memory, language, and hearing, along with many other functions.

The primary visual cortex is located here and thus the occipital lobe is considered the visual center of the brain.

The parietal lobe is one of the major lobes in the brain, roughly located at the upper back area in the skull. It processes sensory information it receives from the outside world, mainly relating to touch, taste, and temperature.

Step-by-step explanation:

7. Adrienne and her brother John each inherit $7,000 that they use to open savings accounts with
Adrienne's account earns 4.7% annual compound interest and John's account earns 4.7% annual
simple interest. Neither makes any additional deposits or withdrawals for 10 years.
a. Who's account will be worth more at the end of 10 years?
b. How much more will the account be worth?

Answers

Answer:

234

Step-by-step explanation:

s=23

Usatestprep Listed in the Item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. Order does not matter. ITEM BANK: Move to Bottom The probability of choosing a yellow marble out of a bag containing 3 red, 1 green, 4 blue and 2 yellow marbles.The probability of choosing a soccer ball out of a bag containing 4 soccer balls, 1 playground ball, and 3 basketballs.The probability of choosing a blue block out of a bag containing 4 red, 2 blue, and 4 green blocks.The probability of choosing a blue marble out of a bag containing 3 red, 1 green, 4 blue and 2 yellow marbles.The probability of choosing a red block out of a bag containing 1 red, 1 blue, and 3 green blocks.The probability of choosing a tennis ball out of a bag containing 5 rubber balls, 3 tennis balls, 6 bouncy balls, and 1 squishy ball.The probability of flipping a head on a fair coin.The probability of rolling an even number on a die. 0.5 0.2 0.4

Answers

Answer:

0.5----> 3 red, 1 green, 4 blue and 2 yellow marbles.......1 red, 1 blue, and 3 green blocks.......4 soccerballs, 1 playground ball, and 3 basketballs......

0.2----> 4 red, 2 blue, and 4 green blocks...........5 rubber balls, 3 tennis balls, 6 bouncy balls, and 1 squishy balls.......

0.4---->

thats all i got so far hope this helps!!!!!!! make sure to stay safe a well.

Step-by-step explanation:

Complete the equations by entering the whole numbers that are equal to the fractions.

8
8
=
3
3
=


30
10
=
9
3
=


6
3
=
12
6
=

Answers

Answer:

Not sure if these are the fractions, tell me if they are wrong.

8/8 = 1

3/3 = 1

30/10 = 3

9/3 = 3

Help me please.........

Answers

DONT GO INTO THE SITE THIS DUDE BELOW BC HE IS A HACKER.

PLEASE HELP ILL GIVE BRAINLIEST
SHOW YOUR WORK

Answers

it’s a 30% increase because she is selling them for 3x what she paid

On Monday morning, a school cafeteria had 97.88 gallons of milk. At lunch, the students drank 8
gallons of the milk. How much milk does the cafeteria have left?
gallons

Answers

Answer:

89.88 gallons of milk

Step-by-step explanation:

97.88-8=89.88

PLZ HELPPP.3+28/z +4s use z=7 and s=5

Answers

3+28/7+4*5 /reduce the fraction with 7
=> 3+4+20
=> 27

Rational numbers are _____ natural numbers.

sometimes
always
never

Answers

Answer: sometimes

Step-by-step explanation:

sometimes

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. ... All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.

B R A I N L I S T I NEED HELP A S A P PLEASE

Answers

Answer:

From the left side :

1. X= 60.

2.X= 15.

3.X= 21

Step-by-step explanation:

If u want further explanation , let me know ^^

Good luck ^_^

which equation represents a linear function

Answers

Answer:

Bottom right equation

HELPPP IK IT IS NOT MATHHHH PLZ

Answers

Answer:

13)ignorance

Step-by-step explanation:

which pair best represents a causation statement?
A. a person's age and his/her height.
B. the length of your hair and reading ability
C. the number f books read and the size of someone's vocabulary
D. the higher number of shark attacks and the increasing number of people going on vacation

Answers

Answer:

C. the number f books read and the size of someone's vocabulary

Step-by-step explanation:

causation is the action of causing something, thats the only one that makes sense lol

Write the equation of the line in fully simplified slope-intercept form.
5
4
3
2
1
-12-11-10-9-8
5
5
1 2 3 4 5 6 7 8 9 10 11 12
3-2-2
-2
-3
- 4
-5
-6
-7
-8
= "
-10
-12

Answers

Answer:

y = - x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

m = [tex]\frac{0-6}{6-0}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1

The line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 ← equation of line

∠A=5x−18 ∘ start color #11accd, angle, A, equals, 5, x, minus, 18, degrees, end color #11accd \qquad \green{\angle B=3x + 42^\circ}∠B=3x+42 ∘ start color #28ae7b, angle, B, equals, 3, x, plus, 42, degrees, end color #28ae7b Solve for xxx and then find the measure of \blueD{\angle A}∠Astart color #11accd, angle, A, end color #11accd:

Answers

Answer:

A = 132 degrees

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

132

Step-by-step explanation:

bc khan

Select the correct ans
Consider functions fand g.
f(3) = -3.12 +41 + 4
g(t) = f(-71 - 7)
Which expression is equal to (1) + g(1)
A.
4-2 – 31 + 4
B. -10.22 – 31 + 4
C. -3r2 – 3.1 – 3
D.
-10.r2 + 41 – 3

Answers

Answer:

I believe it's (D) So I would choose that

very easy and you get 10 points

Answers

Answer and Step-by-step explanation:

The answer to this question is 21.

We can easily find the height of the triangle by going to the bottom point of the triangle and counting up each line.

The height is equal to 6.

When we create this line for the height, it sections off two triangle, one with a side of 4 and the other with a side of 3.

To find the area of a triangle, we must Multiply the side lengths together, then Divide by 2.

Triangle 1

4 × 6 = 24

24 ÷ 2 = 12

Triangle 2

3 × 6 = 18

18 ÷ 2 = 9

Now, we add together the areas to get the area of the full triangle.

12 + 9 = 21.

The area of the triangle is 21 [tex]cm^2[/tex].

#teamtrees #PAW (Plant And Water)

How do you write 2.3 x 103 in standard form?

Answers

Answer:

2300

Step-by-step explanation:

[tex]2.3 \times {10}^{3} \\ \\ = 2.3 \times 1000 \\ \\ = 2300[/tex]

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