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
olchik [2.2K]
2 years ago
7

11.The domain of f(x) is [4, 5, 6]. If f(x) = 3x + 2, what is the range?​

Mathematics
1 answer:
grigory [225]2 years ago
3 0

Answer:

The range of the function is:

Range R = {14, 17, 20}

Step-by-step explanation:

Given the function

f(x) = 3x + 2

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

  • Range refers to all the possible sets of output values on the y-axis.

We are given that the domain of the function is:

Domain D = {4, 5, 6}

Now,

substituting x = 4 in the function

f(4) = 3(4) + 2

f(4) = 12 + 2

f(4) = 14

substituting x = 5 in the function

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

substituting x = 6 in the function

f(6) = 3(6) + 2

f(6) = 18 + 2

f(6) = 20

Thus, we conclude that:

at x = 4, y = 14

at x = 5, y = 17

at x = 6, y = 20

Thus, the range of the function is:

Range R = {14, 17, 20}

You might be interested in
The table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship b
Murrr4er [49]
Given the table below which lists the masses and volumes of several pieces of the same type of metal.<span>

From the table the ratio of the mass to the volume of the metal of mass 34.932 is 34.932 / 4.1 = 8.52
</span><span>the ratio of the mass to the volume of the metal of mass 47.712 is 47.712 / 5.6 = 8.52
</span><span>the ratio of the mass to the volume of the metal of mass 61.344 is 61.344 / 7.2 = 8.52
</span><span><span>the ratio of the mass to the volume of the metal of mass 99.684 is 99.684 / 11.7 = 8.52

</span>MASS (grams)            VOLUME (cubic cm.)
34.932                               4.1
47.712                              5.6
61.344                              7.2
99.684                              11.7</span>

Since the ratio of the various masses to the volume of the metals is the same, so there is a relationship between the mass and the volume of the piece of metal.

If the volume of a piece of metal is 15.3 cubic cm, then the mass of the metal is given by 15.3 * 8.52 = 130.356 grams.
3 0
3 years ago
PLEASE HELP ASAP NO LINKS
marshall27 [118]

Answer:

105 11/12

Step-by-step explanation:

With mixed numbers you can also write them as functions so 5 11/12 could also be written as 5+11/12.

Once you have rewritten the mixed number it's simply a matter of addition: 100+5+11/12

8 0
2 years ago
Read 2 more answers
What Is 2 + 2^2 + 10?
ikadub [295]
The answer is 16 
hope this helps


6 0
2 years ago
Read 2 more answers
Solve -2x + 6 = -20. -7 -13 7 13
attashe74 [19]

Answer:

13

Step-by-step explanation:

-2x + 6 = -20

Step 1 subtract 6 from both sides

6 - 6 cancels out

-20 - 6 = -26

We now have -2x = -26

Step 2 divide both sides by -2

-2x/-2 = x

-26/-2 = 13

We're left with x = 13

6 0
3 years ago
is it possible for this app to answer word problems under the subject of algebra 1 math because i really need help
son4ous [18]
Yes it is if the word problem applies to or is about math
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the range of the function shown in the table
    6·2 answers
  • Select ALL the expressions that are equal to 3(n+4) *
    13·2 answers
  • What is the product of the polynomials below? (4x^2-2x-4)(2x+4)
    7·1 answer
  • The length of a rectangle is nine inches more than its width. Its area is 486 square inches. Find the width and length of the re
    10·1 answer
  • Examples of reflex action​
    8·2 answers
  • What is the quotient of b^3+4b^2-3b+126/b+7
    10·1 answer
  • -(b-5). Use the distributive property to write the expression as an equivalent algebraic expression
    8·1 answer
  • Determine whether AB ← → and CD ← → − are parallel, perpendicular, or neither. A(-6, 2), B(−3, -4), C(1, -3), D(3, 4)
    11·1 answer
  • HELP ME PLEASE WITH 1,2 AND 3 PLEASE DON'T TAKE LONG TO RESPOND !!​
    14·2 answers
  • Suppose that a classmate asked you why (2x + 112 is not (4x² + 1). What is your response to this classmate?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!