g(x) = 2^x
WHat is the domain and how do I explain it?
2007-08-04 18:06:44 · 5 answers · asked by amber 3 in Science & Mathematics ➔ Mathematics
Domain is your x's that satisfy this equation.
Any "x" works for this D: (R) meaning all real numbers.
or D: (-∞, ∞)
Because any negative number will work in this equation, and any positive number will work in this equation. So will zero.
2007-08-04 18:09:47 · answer #1 · answered by Reese 4 · 0⤊ 0⤋
The same as in your previous question: All real numbers.
You know that the domain of e^x is all real numbers from your math textbook. Well, e is just another number: 2.718. . . . It's like you are asking, 2.718^x is?
So 2^x isn't any different.
You'll see why e^x is an important function if you take some more math classes.
2007-08-04 18:28:43 · answer #2 · answered by Anonymous · 0⤊ 0⤋
x can be any real value from - infinity to + infinity. Thus the domain is all the real numbers. As x increases from 0 to infinity g(x) takes on a different value for each value of x. Similarly, as x goes from - infinity to 0, y takes on a different value for each value of x. So g(x) is a continuous function from - infinity to infinity. The domain is simply all the values that x can have without making the function discontinuous.
2007-08-04 19:05:52 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
The domain is the set of replacement values for which the relation is defined for the independent variable (x in this case). To be more specific you need to know what set of numbers is being considered for the relation, i.e. in the real numbers?
2007-08-04 18:16:24 · answer #4 · answered by chasrmck 6 · 0⤊ 0⤋
Domain are the numbers that are valid for x...which in this case are all numbers ( all reals, |R)
2007-08-04 18:09:52 · answer #5 · answered by mdigitale 7 · 0⤊ 0⤋