Select the domain and range of F. F = {(x, y ) | x + y = 10}. Domain: {10} Range: {10} Set F is not a function and does not cont
ain a domain or range Domain: All Real Numbers Range: All Real Numbers
1 answer:
Answer:
Domain: All Real Numbers
Range: All Real Numbers
Step-by-step explanation:
F is
F = {(x, y ) | x + y = 10}
(x,y) is the ordered pair
x + y = 10 is the expression
We can rearrange it
y = 10 - x
And then we can plot it using a graphing calculator. See attached image
By looking at the plot and examining the expression, we can see that there are no restrictions over x or y.
This means that the domain and range are all real numbers
Domain: All Real Numbers
Range: All Real Numbers
F is a function because it is a relation that associates each element x to a single element y.
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Answer:
<em>Exponential decay function</em>
Step-by-step explanation:
The given table represents some function between x and y:
x - 3 - 6 - 9 - 12
y - 2401 - 343 - 49 - 7
We are required to find if it's exponential growth, decay, or neither.
An exponential function is identified because each term is calculated as the previous term multiplied by a constant factor.
The linear relationship is identified because each term is calculated as the previous term plus a constant difference.
Note the values of x grow three by three and the values of y are constantly divided by 7 or multiplied by 1/7.
There is a common factor and not a common difference. Since the common factor is less than 1, the function is exponential decay.
Bonus: The exponential function is: