1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
diamong [38]
3 years ago
9

Is it a function and what is the Domain and the Range

Mathematics
2 answers:
Schach [20]3 years ago
7 0

Answer:

a-is a function

the domain is:[-3,1]

the range is :[-4,0]

b- is not a function

arlik [135]3 years ago
3 0

Answer:

3.A.) It is a function

Domain = {-3,-2,0,1}

Range = {0,-4,0,-4}

3.B.) It is not a function

Domain = {0,1,1,4,4}

Range = {0,1,-1,2,-2}

Step-by-step explanation:

Coordinates to 3.A. are (-3,0), (-2,-4), (0,0), (1,-4)

The Domain is the set of input values which are the x values.

The Range is the set of output values which are the y values.

Coordinates to 3.B. are (0,0), ( 1,1), (1,-1), (4,2), (4,-2)

3.B. Is not a function because it has more than one of the same inputs (x values).

A Function cannot have more than one of the same input (x values).

Hope this helps.

You might be interested in
WILL GIVE BRAINLIEST!! Why are all planets almost spherical in shape?
Olin [163]
A planets gravity pulls equally from all sides, this is why all planets are almost perfectly spherical in shape.
6 0
3 years ago
Read 2 more answers
Help I am trying to understand this!!!!
PSYCHO15rus [73]

Answer:D!

Step-by-step explanation: Okay my bad u was trying to understand.Soooo 6:1.75 is a ratio of 6 to 1.75.Basically a different saying of 6/1.75.Well if u divide the fraction you will get about 3.42.Now we just take all of the answers and just divide all of them.boom 12/3.5 is also 3.42!Therefore D is your answer!

If you found this useful please give it a like

4 0
3 years ago
Read 2 more answers
The function h is defined by h(x)=4+3x over 5+x<br><br> Find h(4z)
Jobisdone [24]

Answer:

h(4z)=4+12z / 5+4z

Step-by-step explanation:

The function h is defined by h(x)=4+3x over 5+x

This can be written as

h(x)=4+3x / 5+x

The value of the function at any time depends on the value of x. x is the independent variable. The variable,x can take any value at any time.

To find h(4z), it means that x is taking the value of 4z.

We will substitute 4z in the place of x in the function. This becomes

h(4z)=4+3×4z / 5+4z

h(4z)=4+12z / 5+4z

5 0
3 years ago
Help. <br>Please its urgent show workings.<br>​
laiz [17]

Answer:

see explanation

Step-by-step explanation:

There are 2 possible approaches to differentiating these.

Expand the factors and differentiate term by term, or

Use the product rule for differentiation.

I feel they are looking for use of product rule.

Given

y = f(x). g(x) , then

\frac{dy}{dx} = f(x).g'(x) + g(x).f'(x) ← product rule

(a)

y = (2x - 1)(x + 4)²

f(x) = 2x - 1 ⇒ f'(x) = 2

g(x) = (x + 4)²

g'(x) = 2(x + 4) × \frac{d}{dx} (x + 4) ← chain rule

       = 2(x + 4) × 1

        = 2(x + 4)

Then

\frac{dy}{dx} = (2x - 1). 2(x + 4) + (x + 4)². 2

    = 2(2x - 1)(x + 4) + 2(x + 4)² ← factor out 2(x + 4) from each term

    = 2(x + 4) (2x - 1 + x + 4)

    = 2(x + 4)(3x + 3) ← factor out 3

    = 6(x + 4)(x + 1)

--------------------------------------------------------------------------

(b)

y =  x(x² - 1)³

f(x) = x ⇒ f'(x) = 1

g(x) = (x² - 1)³

g'(x) = 3(x² - 1)² × \frac{d}{dx} (x² - 1) ← chain rule

        = 3(x² - 1)² × 2x

        = 6x(x² - 1)²

Then

\frac{dy}{dx} = x. 6x(x² - 1)² + (x² - 1)³. 1

    = 6x²(x² - 1)² + (x² - 1)³ ← factor out (x² - 1)²

    = (x² - 1)² (6x² + x² - 1)

     = (x² - 1)²(7x² - 1)

----------------------------------------------------------------------

(c)

y = (x² - 1)(x³ + 1)

f(x) = x² - 1 ⇒ f'(x) = 2x

g(x) = (x³ + 1) ⇒ g'(x) = 3x²

Then

\frac{dy}{dx} = (x² - 1). 3x² + (x³ + 1), 2x

   = 3x²(x² - 1) + 2x(x³ + 1) ← factor out x

   = x[3x(x² - 1) + 2(x³ + 1) ]

   = x(3x³ - 3x + 2x³ + 2)

   = x(5x³ - 3x + 2) ← distribute

    = 5x^{4} - 3x² + 2x

--------------------------------------------------------------------

(d)

y = 3x³(x² + 4)²

f(x) = 3x³ ⇒ f'(x) = 9x²

g(x) = (x² + 4)²

g'(x) = 2(x² + 4) × \frac{d}{dx}(x² + 4) ← chain rule

       = 2(x² + 4) × 2x

       = 4x(x² + 4)

Then

\frac{dy}{dx} = 3x³. 4x(x² + 4) + (x² + 4)². 9x²

    = 12x^{4}(x² + 4) + 9x²(x² + 4)² ← factor out 3x²(x² + 4)

    = 3x²(x² + 4) [ 4x² + 3(x² + 4) ]

    = 3x²(x² + 4)(4x² + 3x² + 12)

    = 3x²(x² + 4)(7x² + 12)

5 0
2 years ago
Why is -x/y equivalent to x/-y
balandron [24]

Answer:

Step-by-step explanation:

standard form of fraction = -a/b

Example:

-4/2 = -2

4/-2 = -2

5 0
3 years ago
Other questions:
  • Togo flew his ultralight plane to a Landing field 30 miles away. With the wind, the flight took three and a half hours.Returning
    13·2 answers
  • How to complete the square with a leading coefficient?
    6·1 answer
  • Find two positive consecutive odd integers such that square of the smaller integer is 10 more than the larger integer
    13·1 answer
  • What is 2/3 plus 4/9 equal
    10·2 answers
  • What is the gcf to 36 k and 144km
    14·2 answers
  • Find the terms, coefficients, and constants of 4x+x+17
    9·2 answers
  • PLSSS HELPPPPPP PLSSSS
    9·1 answer
  • If the ratio of raisins to bran flakes in a box of raisin bran flakes cereal is 3:27, how many raisins are there in a box that c
    8·1 answer
  • When a house agent sells a house, she gets 8% commission on the sales price. if a house is sold for 450 000, what will the commi
    7·1 answer
  • 2 years ago, father age was nine times the son age but 3 years later it will be 5 times only. find the present ages of the fathe
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!