Any polynomial of degree ##n## can have a minimum of zero turning points and a maximum of ##n-1##. However, this depends on the kind of turning point.
Sometimes, “turning point” is defined as “local maximum or minimum only”. In this case:
- Polynomials of odd degree have an even number of turning points, with a minimum of 0 and a maximum of ##n-1##.
- Polynomials of even degree have an odd number of turning points, with a minimum of 1 and a maximum of ##n-1##.
However, sometimes “turning point” can have its definition expanded to include “stationary points of inflexion”. For an example of a stationary point of inflexion, look at the graph of ##y = x^3## – you’ll note that at ##x = 0## the graph changes from convex to concave, and the derivative at ##x = 0## is also 0.
If we go by the second definition, we need to change our rules slightly and say that:
- Polynomials of degree 1 have no turning points.
- Polynomials of odd degree (except for ##n = 1##) have a minimum of 1 turning point and a maximum of ##n-1##.
- Polynomials of even degree have a minimum of 1 turning point and a maximum of ##n-1##.
So, in part, it depends on the definition of “turning point”, but in general most people will go by the first definition.
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
How Many Squares Are In This 22 Grid Figure 1
/in Uncategorized /by developerHow many squares are in this 22 grid (Figure 1) ? Note that the figure link lets you know that a figure goes along with this part. This figure is available to the left.Enter your answer as a number in the box below and then submit your answer by clicking Submit.
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
How Many Terms Of The Series Do We Need To Add In Order To Find The Sum To The I
/in Uncategorized /by developerHow many terms of the series do we need to add in order to find the sum to the indicated accuracy? Give the smallest value of n for which the inequality holds true. Problem code: stet. Overestimates the total sum? A. s Problem code: stet. For what values of p is the series convergent? A. Problem code: stet.
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
How Many Times Expressed As A Whole Number Would You Have To Travel The Circumfe
/in Uncategorized /by developerHow many times, expressed as a whole number, would you have to travel the
circumference of the Earth to equal the distance between the Sun and Earth?
Circumference = 2πR, R is he radius. Earth’s diameter is 7900 miles and the Sun-
Earth distance is 9.3 x 107 miles.
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
How Many Times Will The Loop Shown Below Be Executed
/in Uncategorized /by developerHow many times will the loop shown below be executed?Dim intQuantitySold As IntegerDim decTax As DecimalintQuantitySold = 1Do Until intQuantitySold = 5decTax = intQuantitySold * 0.07lstDisplay.Items.Add(“Tax Amount: ” & decTax.ToString())intQuantitySold += 1Loop
Since the value of the variable intQuantitySold starts from 1 and increments by 1 in every iteration, until the value reaches 5, the loop is executed 4 times, i.e when intQuantitySold = 1, when…
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
How Many Truckloads Of Product Are Acutally Required To Carry 10 Million Of Prod
/in Uncategorized /by developerHow many truckloads of product are acutally required to carry 10 million of product. show calcualtions
As per the above informationOne tablet occupies = 1.50 cm3 = 1.50 / 106 m3Total space =17m x 4.5m x 2.5m=191.25 m3Total tablets = (191.25* 106)/1.50=127500000 tabletsPer tablet price = $ 2.83…
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
How Many Turning Points Can A Cubic Function Have
/in Uncategorized /by developerAny polynomial of degree ##n## can have a minimum of zero turning points and a maximum of ##n-1##. However, this depends on the kind of turning point.
Sometimes, “turning point” is defined as “local maximum or minimum only”. In this case:
However, sometimes “turning point” can have its definition expanded to include “stationary points of inflexion”. For an example of a stationary point of inflexion, look at the graph of ##y = x^3## – you’ll note that at ##x = 0## the graph changes from convex to concave, and the derivative at ##x = 0## is also 0.
If we go by the second definition, we need to change our rules slightly and say that:
So, in part, it depends on the definition of “turning point”, but in general most people will go by the first definition.
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
How Many Ug Are There In 5 5 X 10 3g
/in Uncategorized /by developerHow many ug are there in 5.5 x 10-3g?
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
How Many Ways Can A Group Of 16 Fraternity Brothers Be Assigned To Rooms A B And
/in Uncategorized /by developerHow many ways can a group of 16 fraternity brothers be assigned to rooms A, B, and C, with 3 assigned to room A, 7 to room B, and 6 to room C?
Answer to 7972218How many ways can a group of 16 fraternity brothers be assigned to rooms A, B, and C, with 3assigned to room A, 7 to room B, and 6 to room C?16C3*13C7*6C6=960960
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
How Many Years Would You Have To Save Up For A Down Payment On A House If You Pu
/in Uncategorized /by developerHow many years would you have to save up for a down payment on a house if you put down 52 % of the required down payment of $ 8,439, and you could find an investment that let you earn 9 % compounded 226 times per year? Report your answer to two decimal places.
Business Analysis 2372
homework help please
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"
How May Law Be Classified
/in Uncategorized /by developerhow may law be classified? provide examples for each classifications. [essay question]
Law can be classified based on :
– purpose of the law – enforcement of law -consequences in breaching law -procedural law
Please help me by elaborate those points and giving examples
Thank you !
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"