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tiny-mole [99]
3 years ago
8

Will give brainliest!

Mathematics
1 answer:
irakobra [83]3 years ago
6 0

Answer:

Step-by-step explanation:

Remember that our original exponential formula was y = a b x. You will notice that in these new growth and decay functions, the b value (growth factor) has been replaced either by (1 + r) or by (1 - r). The growth "rate" (r) is determined as b = 1 + r.

An exponential function of a^x (a>0) is always ln(a)*a^x, as a^x can be rewritten in e^(ln(a)*x). By deriving, the term (ln(a)) gets multiplied with a^x. The derivative shows, that the rate of change is similiar to the function itself. For 0<a<1, ln(a) becomes negative and so is the rate of change.

Linear models are used when a phenomenon is changing at a constant rate, and exponential models are used when a phenomenon is changing in a way that is quick at first, then more slowly, or slow at first and then more quickly.

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Answer:

(-∞, -2) ∪ (0, ∞)

Step-by-step explanation:

Multiply together the (7x) and the (x+2), obtaining 7x^2 + 14x.  This is the correct argument (input) to Answer A.

Since the domain of the square root function includes "all real numbers equal to or greater than 0," we set 7x^2 + 14x = to 0.  This factors to the original 7x*(x+2), set equal to 0.  The roots are 0 and -2.  

These two values create three intervals:  (-∞, -2), (-2, 0) and (0, ∞).

Choosing test numbers, one from each interval:  {-5, -1, 1}.

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