domain and range and growth and decay

[dominicinco]

Hi, I need help finding the domain and range of this question. I don't know how to do domain and range so instructions on how to solve it would be useful.

1) Find the domain and range of y = x^2 + 2

2) I need help with this question. So far, I have 25.06/25.02 to get rid of Qo. I'm not sure how to write the exponent of 0.02 into a fraction exponent.

Let f(0.02) = 25.02 and f(0.05) = 25.06.

(a) Find the base, a.

(b) Find the percentage growth rate, r.

 

[stapel]

1) The domain is all allowable x-values. The usual method for finding the domain is to look at square roots (no negatives inside), denominators (no zeroes), logarithms (no non-positives), etc, and find any forbidden x-values. The domain is then everything else.

There are various methods for finding the range. Primitively, you can work from a graph. Back in algebra, you learned, for quadratics like this, how to find the vertex exactly (so the range was the vertex's y-value and everything above or below that, depending on the parabola's orientation). In calculus, you've learned how to differentiate and apply various tests.

Which method are you supposed to use? How far have you gotten?

2) I'm sorry, but I can't figure out what the question was from what you've posted. Please include the actual text of the exercise, and the instructions. For instance, what is "Q₀"? What are you talking about, when you refer to "the exponent of 0.02 into a fractional exponent"?

When you reply, please include all of the steps you have tried thus far. Thank you.

Eliz.