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e-lub [12.9K]
3 years ago
6

Determine whether the relation is a function: {(6, 1), (8, –3), (6, 7)}.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0

Hello there! The answer would be the first one, or No. At least one output results in two inputs.

When dealing with functions: you must remember that x does not repeat. So, lets look at the relation given, {(6, 1), (8, –3), (6, 7)}. You can see that x does repeat, so this is not a function. This eliminates second and fourth option choices. Out of the options A and C, A would be your choice since x is the input value and y is the output value, and there are two input values.

Hope his helps and have a  great day!

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Hong compared the player statistics from his teams tennis season. He determined that being taller implies that a player has fast
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There is a correlation between height and speed of the serve

<h3>How to interpret the player statistics?</h3>

From the question, we understand that:

The taller a player, the faster the serve

This means that:

Height implies speed

In other words, there is correlation between the height and the speed of the service

Read more about correlation at:

brainly.com/question/4219149

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2 years ago
What is a value of y that satisfies the inequality below? y3≤12
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Answer:

4

Step-by-step explanation:

because 4 Times 3 equals 12 so less than or equal to hope this helps

8 0
3 years ago
Read 2 more answers
Which correctly describes the graph shown below
Alborosie
The answer is C. Explanation: The line isn’t a straight line, so it can’t be a linear line. Then, do the vertical line test to see if the line is a function (to do this, draw a vertical line through the graph, and see if it passes more than one point on the graph. If the vertical line passes any more than one point on the graph on any spot, it is not a function), and since the graph fails the vertical line test, it is not a function. Therefore, the answer is C.
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3 years ago
A rectangular prism has a volume of 60 cubic centimeters. The height of the prism is 3 centimeters. What is the area of the base
victus00 [196]

Answer: The area of the base would be 20 sq cm

Step-by-step explanation:

Hope this helps :)

8 0
3 years ago
How to solve these 3 problems
Bingel [31]

Answer:

  1. a. decay; b. growth; c. decay; d. neither
  2. r = 4; a = 1; y = 1·4^x
  3. a. an = 3(5^(n-1)); b. f(x) = (3/5)(5^x); c. exponential growth; d. y-intercept: 3/5; first term: 3.

Step-by-step explanation:

There are two kinds of exponential problems here.

  1. exponential functions of the form f(x) = a·b^x
  2. exponential sequences of the explicit form an = a1·r^(n-1)

The second problem gives you a table that suggests the sequence form, but it asks for the exponential function form. The third problem does something similar.

__

<h3>1.</h3>

In an exponential function of the form f(x) = a·b^x, the function grows if b>1 and decays if b<1. Using this check, we can easily answer ...

  a. 0.4 < 1 . . . decay

  b. 1.3 > 1 . . . growth

  c. 1/2 < 1 . . . decay

  d. 1 = 1 . . . neither growth nor decay; the function is constant: j(x) = 1.

__

<h3>2.</h3>

The value of x is given starting at 1, so we can consider this a geometric sequence. The common ratio is r = 16/4 = 4. The first term is a1 = 4, so the explicit formula for the sequence is ...

  an = 4·4^(n-1)

When this is expanded to get rid of the constant in the exponent, we have ...

  an = 4·(4^n)·(4^-1) = 1·4^n

We recognize this form as matching the functional form f(x) = a·r^x. The multiplier of the exponential factor is a=1. In summary, ...

  r = 4; a = 1; f(x) = 1·4^x

__

<h3>3.</h3>

The first term of this geometric sequence is a1 = 3. The common ratio is r = 15/3 = 5. Using the explicit formula, we have ...

 a. explicit form: an = 3·5^(n-1)

Using the method of question 2 to write the functional form, we find ...

  an = 3(5^n)(5^-1) = (3/5)(5^n)

  b. functional form: f(x) = (3/5)(5^x)

  c. function family: exponential growth functions

 d. y-intercept: (3/5) . . . . read this from the f(x) form

     1st term: the first term listed in the given sequence is 3

_____

<em>Additional comment</em>

The "y-intercept" of a sequence is irrelevant (undefined), as the sequence term numbering starts with 1, not 0. The domain of the explicit formula is <em>natural numbers</em>, which does not include 0.

Similarly, the "first term" of a function f(x) needs further definition. Here, we've answered the question by saying the first term is f(1). There is no conventional definition of a "first term" for a continuous function.

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2 years ago
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