Mathematics
OpenStudy (anonymous):

Posting Question in Image form

OpenStudy (anonymous):

How do I solve these questions

OpenStudy (anonymous):

I was given y2/y1 = y3/y2 then it is a exponential function and if its y2 - y1 = y3-y2 it is a linear function

OpenStudy (sasogeek):

yup

OpenStudy (sasogeek):

have u tried that?

OpenStudy (anonymous):

I'm just confused by these problems it also brings up delta x = x2 - x1 and x2 - x1 = x3 - x2 Do these equations have to do wit the continuity of the function I'm trying to determine?

OpenStudy (anonymous):

I'm not trying to get the answer for this problem I simply just want a better understanding of the problem itself

OpenStudy (sasogeek):

probably, i'm not an expert at this but i'll try to get u someone who can help :)

OpenStudy (anonymous):

thanks

hero (hero):

Working on this....

hero (hero):

It's not that difficult. I just haven't done this in a while so I'm going to contact a resource and get back to you.

hero (hero):

Okay, I'm back. It really is easy and I should have remembered how to do it, but I got stuck on one thing.

hero (hero):

Basically, when dealing with exponential functions, they have the general form: y = ab^x, where a = initial value and b = base or growth factor. If b > 1, then the function is exponential growth. If 0 < b < 1, meaning if b is between 0 and 1, then the function is exponential decay. Also, b = 1 + r, where r = the percent rate of change. In this particular case, we have the set of table values for 3a). To find out if the function is exponential, simply take the f(x) values and divide the values like so: 43.5/87 = 0.5 87/174 = 0.5 The fact that both divisions equal 0.5 indicates an exponential function. Using the formula for exponential functions, y = ab^x, we first find a. Since x = 0 and 6 y = f(x) = 43.5, 43.5 = a, the initial value. Now, we must find b. To find b, plug in a given point along with a into the formula, then solve for b as follows: y = ab^x 87 = 43.5b^1 87/43.5 = b 2 = b So, now that we've found a and b, we can now write our exponential formula: y = 43.5(2)^x 3b) is just a linear equation. I'm sure you can figure that one out yourself.

hero (hero):

If you have any questions, let me know.

OpenStudy (sasogeek):

thanks hero, I'm not too good at this but that made a lot of sense :) thanks :)

hero (hero):

yw