What are the 8 types of functions?

Answers

Answer 1

The eight types of functions are  Linear Functions, Quadratic Functions, Polynomial Functions, Exponential Functions , Logarithmic Functions, Trigonometric Functions, Rational Functions, Piecewise Functions.

1. Linear Functions: Linear functions are equations of the form y = mx + b, where m and b are constants and x is an independent variable. The equation describes a straight line when graphed. The slope of the line is m, and the y-intercept, where the line crosses the y-axis, is b.

2. Quadratic Functions: Quadratic functions are equations of the form y = ax^2 + bx + c, where a, b, and c are constants and x is an independent variable. These equations describe parabolas when graphed. The vertex of the parabola is the point (x, y) where the curve changes direction and is given by (-b / 2a, c - b^2 / 4a).

3. Polynomial Functions:  Polynomial functions are equations of the form [tex]y = a_nx^n + ... + a_1x + a_0,[/tex] where a_n, ..., a_1, a_0 are constants and x is an independent variable. These equations can describe many different shapes when graphed.

4. Exponential Functions: Exponential functions are equations of the form [tex]y = a^x[/tex], where a is a constant and x is an independent variable. These equations describe exponential growth or decay when graphed. The rate of growth or decay is determined by the value of a.

5. Logarithmic Functions: Logarithmic functions are equations of the form y = log_a x, where a is a constant and x is an independent variable. These equations describe logarithmic curves when graphed. The base of the logarithm is determined by the value of a.

6. Trigonometric Functions: Trigonometric functions are equations of the form y = f(x), where f is a trigonometric function (e.g. sin, cos, tan, cot) and x is an independent variable. These equations describe sine and cosine curves when graphed.

7. Rational Functions: Rational functions are equations of the form y = (ax + b) / (cx + d), where a, b, c, and d are constants and x is an independent variable. These equations can describe many different shapes when graphed.

8. Piecewise Functions: Piecewise functions are equations of the form y = f(x) if x is in a certain interval, and y = g(x) if x is in another interval. These equations can describe many different shapes when graphed.

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Related Questions

A triangle with an area of 36 square meters has a base that is 10 meters long. What is the height of the triangle

Answers

The height of the triangle would be

7.2 bc

10x7.2:72

So to find the area of a triangle u have to divide by 2, so

72 divided by 2 is 36, so 7.2 is the height

PLEASE HELP ME OUT! QUICK POINTS FOR YOU!

All information needed can be found in the image below
Thank you in advance.

Answers

Answer:

B. 254.3

Step-by-step explanation:

The formula for the area of a circle is:

[tex]A = \pi\cdot r^2[/tex]

and r is half the diameter.

[tex]r = 18in / 2 = 9in\\~\\A = \pi \cdot (9in)^2 \approx 3.14 \cdot 81in^2 = 254.34in^2[/tex]

Answer:

D. 254.3

Step-by-step explanation:

Use the formula pi times the radius squared to get the area.

The radius is nine because the diameter of the diagram is 18. (The radius is always half the diameter).

π[tex]r^2[/tex]

π[tex]9^{2}[/tex]

π81 ≈ 254.3 inches squared

Help me with this please ASAP

Answers

Answer:

Hi, there your answer is [tex]8x^{6}[/tex]

Step-by-step explanation:

4*x^3*2*x^3

=8*x^6

Hope this helps :)

PLZ MARK ME BRAINIIEST :) the crown thingy if you don't know what it is

Find the measure of the complement of an 18° angle.

Answers

Answer:

72°

Step-by-step explanation:

Hello There!

Complementary angles have a sum of 90 degrees

So to find the missing angle we subtract the measure of the given angle (18 in this case) from 90

90 - 18 = 72

so your answer will be 72°

Which pair of statements about the lengths of two sides of the triangle is true?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B  is the answer!.

Please help with this

Answers

Step-by-step explanation:

I need the graph. I'll answer if you send me the graph that is uses

Consider a RST, as shown
In rest cos r=3/5. What is sin t?

Answers

Answer:

:?

Step-by-step explanation:

:?

How many degrees is arc KM?

Answers

Answer:

90 degree

Step-by-step explanation:

because is a lm perpendicular to kn

A waiter receives tips from each customer. On
average the tip is 15% of the customer's bill. At this
rate, which of the following is closest to the tip the
waiter can expect when a customer has a bill that is
$78.20
A) $8.00
B) 10.00
C) $12.00
D) $14.00

Answers

Answer:

B) 10.00

Step-by-step explanation:

can someone help me with this and tell me the steps too

Answers

Answer:

B. 2.2

Step-by-step explanation:

Volume of a rectangular prism = length*width*height

You can replace the width with the variable x for now, the height is given in the problem, and the length is 4 times the width so in this case it's 4x.

160 = 4x*x*8

160 = 32x^2

5 = x^2

The square root of five is about 2.2 so B is the correct answer

Answer:

B. 2.2ft

Step-by-step explanation:

160 is the volume

The volume of a rectangular prism is equal to its width, its length, and its height, all multiplied together.

First, we divide by the height.

160/8 = 20

Now, we find the width (w) and length (l).

4w = l

w(l) = 20

Substitute l with 4w.

w(4w) = 20

4w^2 = 20

w^2 = 5

w = √5

And since l is 4 times w.

w = √5

l = 4√5

h = 8

Since we are solving for the width, we will go with the closest to the answer closest to the square root of five.

√5 = 2.23606

Therefore, the answer is B. 2.2 ft

If you roll a single six-sided die, what is the probability of rolling an odd number?

Answers

is usually three-sixths or three out of six

I am not sure but the probability could be 50% because there are 3 odd numbers on a die out of 6 and so half would be 50/100. Or 3/6.

Need answer please ty

Answers

Answer:

More detail needed

Step-by-step explanation:

The question is not clear, therefor there is no way to solve it.

wht is 700000x4864493-490

Answers

Answer:

3.4051451e+12

Step-by-step explanation:

:/

Answer:

3.40515e12

Step-by-step explanation:

Please help me out . :)

Answers

Answer:

1080ft cubed

Step-by-step explanation:

The formula is "lenght times width times height."

What is the difference between 2386 and 7000 check your answer using inverse operations

Answers

Answer:

4,614

Step-by-step explanation:

7000 - 2396 = 4614

inverse operations

2396 + 4614 = 7000

The answer is 4,614 because 7000-2386=4,614 and if you do inverse operation it is 4614+2386=7000

After reviewing her driving record for the past 3 years, Cindy's insurance company offers her a good driver discount of 4.5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Bodily Injury $50/100,000 Property Damage $25,000 Collision $500 deductible Comprehensive $100 deductible Annual Premiums $31.75 $120.50 $275.75 $100.00 a $504.24 b. $523.50 C. $528.00 d. $551.76​

Answers

Answer:

its A

Step-by-step explanation:

I just took the test on EDGE  

The new annual premium including the discount is $504.24.

Option A is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To calculate the new annual premium with the discount, we need to find the total premium and then subtract the discount.

The total premium is the sum of the individual premiums:

Total premium.

= $31.75 + $120.50 + $275.75 + $100.00

= $528.00

The discount is 4.5% of the total premium:

So,

Discount = 0.045 × $528.00 = $23.76

The new annual premium including the discount is:

New premium = Total Premium - Discount

= $528.00 - $23.76

= $504.24

Therefore,

The new annual premium including the discount is $504.24.

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HELP!! WILL GIVE BRAINLY!

Answers

Answer:

5

Step-by-step explanation:

The answer is 5 because you subtract 125 to 45 and end up with 80. Then you divide 80 by 16 and end up with 5. Let me know if you find any faults in my answer. Thanks. Have a good day!

Popcorn was donated for the school fair by 3 different popcorn vendors. They donated a total of 996 bags of popcorn. Each vendor donated the same number of bags. How many bags of popcorn did each vendor donate? Each vendor donated bags of popcorn

Answers

Answer:

let the of bag of vendors be X

3donate X bag to give 996

3×x=996

3x=996

divide both side by 3

3x\3=996\3

x=332

each vendor donated 332bags of popcorn

Bonjour, je suis bloqué à cet exercice, à vrai je n'ai rien compris de la consigne...
On considère les nombres A=√63×11√7×2√175 et B=√63−11√7+2√175.
1) Écrire A et B sous la forme a√7 avec a un entier.
2) Simplifier A/B.
Merci d'avance

Answers

Je dois admettre que je ne suis pas français et que j'utilise un traducteur pour répondre à cette question.Je suis désolé mais je vais devoir répondre à la lettre b uniquement parce que je ne sais pas comment résoudre la lettre a: A = 3√7 x 11√70√3 b = √63 - 11 √7 + 10 √7 si c'est faux, je suis désolé j'ai juste fait de mon mieux :)

Please help me I’m tired of these “click the link people”

Answers

Answer:the width is 2.56

Step-by-step explanation:

Rewrite the function in standard form.
f(x)= 3(x + 5)2 - 7

Answers

Answer: F= 29
Explanation: first use distributive property and multiplied by three with the parentheses. And then multiply to by what you just solved. Remember to keep writing everything that we haven’t used yet. Then divide both the left side and the 6X by X. Then subtract 30 by 7. And add six. I hope this helped

Parveen buys 3 small bags of peanuts she gives the shopkeeper £2 and gets 80p change what is the cost of one pag of peanuts?

Answers

Answer:

$0.4

Step-by-step explanation:

Let cost per bag = x

Number of bags purchased = 3

Amount given to shopkeeper = $2

Change gotten = $0.80

(Cost per bag * number of bags purchased) + change obtained = amount given to shopkeeper

(x * 3) + 0.80 = 2

3x + 0.80 = 2

3x = 2 - 0.80

3x = 1.20

x = 1.20 / 3

x = 0.4

$0.4

BRAINLY TO WHOEVER HELPS ASAP

Answers

Answer:

2

Step-by-step explanation:

hiiii

Consider a sequence whose first five terms or 1/2 1/ 4 1/8 1/16 1/32 which function can be used to determine the NTH term of the sequence. F(n)=-2n F(n)=1/2n. F(n)=(1/2) ^-n. F(n)=2^-n

Answers

Answer:

c

Step-by-step explanation:

A circular plate has circumference 17.6 inches. What is the area of this plate? ​

Answers

Answer:

A≈24.65in²

Step-by-step explanation:

A=πr2

C=2πr

Solving forA

A=C2

4π=17.62

4·π≈24.64992in²

Happy Friday!

ILL WIN BRAINLIEST YOU IF YOU GET IT RIGHT

please help me with this questions

Answers

Answer:

x=54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

it is an alternate interior angle so those 2 angles are actually congruent and corresponding

x + 3 = 57

Subtract 3 to get x = 54

The angle of a triangle is 44°, 44°, and x°. What is the value of x°?​

Answers

the value of x would be 92 bc the 3 angles of a triangle equal 180

11) Original price of a lizard: $39.99 Discount: 40% Tax: 6%​

Answers

Answer:

16.9

Step-by-step explanation:

.......ur welcome..........

40% of 39.99=15.95

6% of 15.95= 0.95

15.95 × 0.95=16.9

A circle has a circumference of 41 centimeters . What is the circle's radius ? Use 3.14 for pi and round your answer to the nearest tenth

Answers

the circles radius is 6.5 centimeters.

Answer:

"I hope your pillow is hot on both sides"

Step-by-step explanation:

:)

Camille put $1,250 in a new account at her bank. - The bank pays 2.25% interest compounded annually on this account. - Camille makes no additional deposits or withdrawals. Which amount is the closest to the balance of the account at the end of 5 years?

Answers

Answer:

FV= $1,397.1

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,250

Interest rate (i)= 2.25% compounded annually

Number of periods (n)= 5 years

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 1,250*(1.0225^5)

FV= $1,397.1

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