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
Marizza181 [45]
2 years ago
12

The table shows the input and output of a function Table(input:3,4,6,11. Output:5,7,11,21) (a) Explain what makes this set of da

ta a function. (B) what could cause this set of data to not be a function? Provide a specific example to support your statement and explain throughly. (c) write an equation, in function nation, that would fit in the inputs and outputs in the table. Show your work that proves your equation is true for the given data. PLEASE HELP ITS DUE TODAY!!!

Mathematics
1 answer:
JulijaS [17]2 years ago
4 0

Ans(a):

We know that a function can't have repeated x-values.

In given table we see that there i no repeating x-value. That's why the given table  represents function.


Ans(b):

We know that a function can't have repeated x-values.

So if in given table we see any repeating x-value then that may cause the given data set to not be a function.

like if we have 3, 4, 3, 11 in the input then it will not be a function.


Ans(c):

we can use two points say (3,5) and (4,7) to find the linear equation of the form y=mx+b

slope is given by

m=\frac{y_2-y_1}{x_2-x_1}=\frac{7-5}{4-3}=2

Noow plug value of m=2 and any point say (3,5) into y=mx+b

5=2(3)+b

5=6+b

-1=b

now plug m=2 and b=-1 in y=mx+b, we get y=2x-1

Hence required equation in function notation can be written as

f(x)=2x-1.


Now to prove that above function is correct, we just graph the given points from table and the obtained function.

We see that points lie on the grpah of f(x)=2x-1.

Which proves that our equation is correct.

You might be interested in
The square root of 9x plus 7 plus the square rot of 2x equall to 7
Oliga [24]
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=2
4 0
3 years ago
Find the sum of the first 8 terms in the sequence 2 8 32 128
Zigmanuir [339]

the sequence is in multiples of 4 (2*4=8, 8*4=32, 32*4=128)

so 128*4=512, 512*4=2048, 2048*4=8192 & 8192*4=32768

2+8+32+128+512+2048+8192+32768=43690 

4 0
2 years ago
The diagram below shows part of the graph of the quadratic function f(x)=a(x-h)(x-k) with the condition h<k. Point P is the m
Valentin [98]

Answer:

see explanation

Step-by-step explanation:

(a)

The zeros are x = 1 and x = 5, thus the factors are (x - 1) and (x - 5)

f(x) = a(x - 1)(x - 5)

To find a substitute (0, 15), the coordinates of the y- intercept into the equation.

15 = a(0 - 1)(0 - 5) = a(- 1)(- 5) = 5a ( divide both sides by 5)

a = 3

Thus h = 1, k = 5, a = 3 and

f(x) = 3(x - 1)(x - 5)

(b)

The axis of symmetry is a vertical line with equation x = c ( c is a constant )

The axis of symmetry passes through the midpoint of the zeros

x = \frac{1+5}{2} = \frac{6}{2} = 3

Equation of axis of symmetry is x = 3

(c)

The axis of symmetry passes through P, with x- coordinate x = 3

Substitute x = 3 into the function for corresponding value of y

f(3) = 3(3 - 1)(3 - 5) = 3(2)(- 2) = - 12

Coordinates of  P = (3, - 12 )

6 0
3 years ago
Read 2 more answers
What is the value of x?<br> A. 6<br> B. 5<br> c. 4<br> D.3
Mumz [18]

Answer:

D

Step-by-step explanation:

CD is an angle bisector and divides the opposite side into segments which are proportional to the other 2 sides, that is

\frac{BC}{AC} = \frac{BD}{AD} , substitute values

\frac{4}{3} = \frac{x}{2.25} ( cross- multiply )

3x = 9 ( divide both sides by 3 )

x = 3 → D

8 0
2 years ago
a car decreased in value from $980 to $720 in one year what was the per cent of decrease to the nearest whole per cent ?
kolezko [41]

The decrease was 27%.

Step-by-step explanation:

Old value = $980

New value = $720

Decrease = Old value - New value

Decrease=980-720=\$260

Percent decrease = \frac{Decreased/ amount}{Old value}*100

Percent\ decrease=\frac{260}{980}*100\\Percent\ decrease=0.265*100\\Percent\ decrease= 26.5\%

Rounding off to near whole percent

Percent decrease = 27%

The decrease was 27%.

Keywords: Percentage, subtraction

Learn more about subtraction at:

  • brainly.com/question/13035995
  • brainly.com/question/13062539

#LearnwithBrainly

6 0
2 years ago
Other questions:
  • Helpity helpityhelpity help
    10·2 answers
  • Find the LCM of 6 and 5.
    8·2 answers
  • Which equation represents grants path? <br>A. y=2-4x<br>B. y=4-x/2<br>C. y=6-x/4<br>D. y=8-2x​
    11·2 answers
  • What is 175-172 divided by 29 over the square root of 20
    13·1 answer
  • Can anyone help me solve this function?
    8·2 answers
  • -3r+5r<br> What is the answerrr i need helpp :((((
    8·2 answers
  • Helppp plzzzz...also give steps..plz
    14·2 answers
  • PLZZ HELP ME ITD MEAN THE WORLD
    15·1 answer
  • If the length of the hypotenuse is 10 m and its base leg is 6 m, what is the length of
    12·2 answers
  • Can anyone help me with this.​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!