What is the value of f(−1) when f(x)=2x+2 ?
2 answers:
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Answer: Choice A
Note: the range should be . See explanation below.
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We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say which is interval notation. It represents the interval from negative infinity to positive infinity.
The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that and that translates to the interval notation
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The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote for choice A, when they should have written
I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.
Given:
In 2010, the population of a town = 2000
Every year, it increase by 1.5%
To find the equation P(t) which represents the population of this town t years from 2010.
Formula
If a be the original population of a town and it increases by b% every year, after t year the population will be
Now,
Taking, a =2000, b = 1.5 we get,
or,
Hence,
The population of this town t years from 2010 P(t) = , Option D.