Answer:
Explanation:
Part D
For d, the very first thing you need to do is figure out which one of the steps you are going to use. You have 2 in b^2 + 2, so even if b = 0 the two still matters. It means that you use f(x) = -x + 3 because that's what you use when you have 2 or above.
The second thing you have to realize is that f(x) = -x + 3 has the meaning of what ever you see on the left in the place of x, you put on the right wherever there is an x.
In this case f(b^2 + 2) = -b^2 - 2 + 3 = 1 - b^2
I'm not sure enough to give you an answer for the domain and range, not this time of night.
9514 1404 393
Answer:
a) 9
b) 1
c) -1
d) -b² +1
domain: (-∞, ∞)
range: (-∞, 1] ∪ [3, ∞)
Explanation:
When you evaluate a piecewise function, the first step is to determine what piece is applicable. Then, you fill in the argument value and do the arithmetic.
a) -6 < 2, so the first piece applies. f(-6) = |-6| +3 = 9
b) 2 = 2, so the second piece applies. f(2) = -2 +3 = 1
c) 4 > 2, so the second piece applies. f(4) = -4 +3 = -1
d) b² +2 ≥ 2, so the second piece applies. f(b² +2) = -(b² +2) +3 = -b² +1
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The function is defined for all values of x, so the domain is (-∞, ∞).
The minimum value of the first piece is +3. The maximum value of the second piece is f(2) = 1. So, values of y between 1 and 3 are not part of the range.
The range is (-∞, 1] ∪ [3, ∞).
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Additional comment
The square of a real number can never be negative, so b²+2 cannot be less than 2.
In the term myoparwsis the suffix paresis mean
Answer:
Explanation:
The whole word means slight muscle paralysis. Paresis has the meaning of slight + muscle
Moana is a single taxpayer who operates a sole proprietorship. She expects her taxable income next year to be $250,000, of which $200,000 is attributed to her sole proprietorship. Moana is contemplating incorporating her sole proprietor-ship. Using the single individual tax brackets and the corporate tax brackets,find out how much current tax this strategy could save Moana (ignore any So-cial Security, Medicare, or self-employment tax issues). How much incomeshould be left in the corporation?
Answer:
well, around atleast 100,000 to 150.000 including taxes of all kinds but of 250,000 i think around 200-175 k should be left , if not, more
Explanation: