All categories

3 years ago

What key features are necessary and how they can be used to create the sketch of a polynomial function?

Mathematics

1 answer:

Tomtit [17]3 years ago

4 0

The key features of polynomials are the vertex, axis of symmetry, x and y intercepts.

1. The degree will help you find the end behavior.

2. The vertex shows you where it changes concavity.

3. X and y intercepts give you a couple of points of reference.

4. Axis of symmetry is only applicable to even degree polynomials.

I am hoping that these answers have satisfied your queries and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

You might be interested in

Which phrase describes the volume of a -dimensional figure?

AnnyKZ [126]

It’s B, the number of cubic units it takes to fill a solid figure

3 0

3 years ago

Read 2 more answers

You are going to create a circle graph to represent some data. How many degrees should a section representing 65 out of a hundre

hjlf

To figure out the degrees, you would create a ratio.

Since there are 360 degrees in your circle, that would be representative to 100 (because both are the total of what you want to find), and x would be representative to what degrees 65 is equal to.

your ratio should look like,

65/100=x/360

cross multiply and get

65(360)=100x

23400=100x

x=234

It looks hard to read like this, but if you write it out on your paper it should make more sense!

8 0

3 years ago

The base of the 37 foot ladder is 9 feet from the wall of a building. will the top of the ladder reach a window ledge 35 feet ab

AnnZ [28]

Answer:

The answer to your question is Yes.

Step-by-step explanation:

The math in this problem is that we need to use the Pythagorean theorem to solve it. Pythagorean theorem is part of trigonometry a branch of Maths.

Data

base = 9 ft

length = 37 ft

height = ?

Pythagorean theorem

c² = a² + b²

length = c

base = a

height = b

37² = 9² + b²

-Solve for b

b² = 37² - 9²

-Simplify

b² = 1369 - 81

b² = 1288

-Result

b = 35.88

-Conclusion

The ladder will reach a height higher than 35 ft.

8 0

3 years ago

Mr Davis is creating a spice mixture for a recipe.2/5 of the spice mixture was oregano 1/3 of the spice mixture was basil the re

attashe74 [19]

Answer: $\frac{11}{15}$

Step-by-step explanation:

You know that:

- 2/5 of the spice mixture was oregano.

- 1/3 of the spice mixture was basil.

Then, to find the fraction of the total amount of spice mixture that was oregano and basil, you must add both fractions, as following:

- Find the least common multiply of the denominators:

$LCM=5*3=15$

- Divide the LCM by each original denominator and multiply the result by each numerator.

- Make the addition.

Then, the result is:

$\frac{(2*3)+(1*5)}{15}=\frac{6+5}{15}=\frac{11}{15}$

7 0

3 years ago

Where are the asymptotes of f(x) = tan(4x − π) from x = 0 to x = pi over 2 ?

vladimir1956 [14]

$tan(4x- \pi )= \frac{sin(4x- \pi )}{cos(4x- \pi )}$

The asymptotes are where the graph is undefined. Since: tan(x) =sin(x)/cos(x)
It is where cos(4x-π) = 0

cos(4x-π) = 0 when the inside is -π/2 , π/2 , 3π/2

4x - π = π/2
4x = π/2 + π
4x = 3π/2
x = 3π/8

4x - π = 3π/2
4x = 3π/2 + π
4x = 5π/2
x = 5π/8
This ones outside the interval (5π/8 > π/2) , try -π/2

4x - π = -π/2
4x = -π/2 + π
4x = π/2
x = π/8

Asymptotes are π/8 and 3π/8

4 0

4 years ago