What is the domain of f(x) = 3x?
2 answers:
Answer:
C. All real numbers.
Step-by-step explanation:
We have been given a function . We are asked to find the domain of our given function.
We know that domain of a function is all values of x for which a function is real and defined.
We know that the domain of an exponential function is all real values of x that is .
Since our given function is an exponential function, therefore, domain of our given function is all real numbers.
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I got D.
There's a few ways to solve it; I prefer using tables, but there are functions on a TI-84 that'll do it for you too. The logic here is, you have a standard normal distribution which means right away, the mean is 0 and the standard deviation is 1. This means you can use a Z table that helps you calculate the area beneath a normal curve for a range of values. Here, your two Z scores are -1.21 and .84. You might notice that this table doesn't account for negative values, but the cool thing about a normal distribution is that we can assume symmetry, so you can just look for 1.21 and call it good. The actual calculation here is:
1 - Z-score of 1.21 - Z-score .84 ... use the table or calculator
1 - .1131 - .2005 = .6864
Because this table calculates areas to the RIGHT of the mean, you have to play around with it a little to get the bit in the middle that your graph asks for. You subtract from 1 to make sure you're getting the area in the middle and not the area of the tails in this problem.
