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# Heather's Responses in WyzAnt Answers

#### Suppose that f(x) has a domain of [4,18] and a range of [2,12]. What are the domain and range of:a) f(2 x) b) 2 f(x)

How do you find the domain and the range?

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Asked by Rawnag from Brooklyn, NY
00

Randy is correct.  I'd like to add however that you also would like to consider if you can say anything about the  range on f(2x).  Think about it, do we really know what the orginal function f(x) was spitting out?  Was it a line, a quadratic, or something even more complicated?

Does doubling the input affect the output that you can get?  Are the ends bound no matter what we put in, can you even know?  We really can't say a lot about the range here.

Then for 2*f(x), we have doubled all the outputs (range), but we haven't changed what we are allowed to put in, so have you done anything at all to the domain?

So, we can say something about both the domain and range of 2*f(x) probably.  But, we likely can't say the same for f(2x) without more information.

#### I have a quastion please.

Find the value of annuity of a =\$8000, I = 0.010, n =25

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Asked by Charles from Poughkeepsie, NY
00

Sorry I copied the wrong value over for FV I actually got \$225,945.60

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