Answer:

Step-by-step explanation:
Given



Required
List out the sample space
To do this, we simply pick 1 item in each category, without repetition.
So, we have:



what's the population in 2004? well, from 1994 to 2004 is 10 years later, so t = 10
plug that in, to get P for 2004
Hello!
We can go through the choices and see if they are true
Choice 1
A function has one output for every input
This is not a function because it has -1 as an output for both 4 and -1
This is the answer
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Choice 2
The inputs are the x's
We see that the inputs are -1, 0, 3, and 4
This is true
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Choice 3
The outputs are the y's
We see the outputs are -2, -1, and 1
This is true
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Choice 4
We can follow the lines and see the relations are
(-1, 1), (0, -2), (3, 1), (4, -1)
This is also true
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The only one that was false was the first choice so that is the answer
The answer is A) The diagram represents a function
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Hope this helps!
For f(-2), x will equal -2.
Plug the x-value into the equation:

A negative exponent means that the term turns into a fraction, with 1 as the numerator and the positive exponent as the denominator.
Solve 2^(-2):

Solve the problem:

f(-2) will equal
1/2.