I know that domain has something to do with the x-values and the range has something to do with the y-values but i'm not exactly sure how to apply this to the problems.
Find the (a) domain and b(range), and c(graph the function.)
1. y=|x|-2
2. y= Radical(16-x^2) Radical= Square root symbol and numbers are under radical.
3. y=2e^-x - 3
4. y=2sin(3x + Pi) -1
5. y= ln(x-3) + 1
Couple problems i'm trying to figure out. Disregard part C, I've already done that. how do you find the domain, range for these kinds of problems?(process). Any help would be extremely appreciated
For (1), are there any real numbers that cause it to be undefined? Also, note that . So what would you thing the range of is?
For (2), rewrite it as . Now, what is the domain and range of that "function"?
For (3), are there any real numbers that cause it to be undefined? Also, note that as and . So what do you think the range of is?
For (4), are there any real numbers that cause it to be undefined? Also note that the amplitude of the wave is . So what do you think the range of is?
For (5), Note that as . So what should the domain of be? From here, it should be obvious what the range is.
Can you try these problems now?