hey. the directions say identify the initial amount "a" and the growth factor "b" in each exponential function. i've looked at the examples given and i still don't understand. the first problem is

g(x)=20x2^x
or g(x) equals twenty times two to the "x" power....

i have no idea how to do this... please help me!!!

I don't know either! In my book it's the same problem, but with a fourteen instead of a twenty. I've looked at the lesson explanation and I'm LOST! Please let me know how to do it- I assume you've figured it out in these past seven years- unless you're not looking at this anymore...

Of course, I can help you with that!

To identify the initial amount "a" and the growth factor "b" in the exponential function g(x) = 20 * 2^x, let's break it down step by step:

Step 1: Look at the general form of an exponential function. It is given by the formula g(x) = a * b^x, where:
- "a" represents the initial amount or the starting value,
- "b" represents the growth factor or the rate of growth/decay,
- "x" represents the independent variable or the exponent.

Step 2: Compare the given function g(x)=20 * 2^x with the general form. We can observe that:
- The initial amount is 20 since it is multiplied by the base 2^x.
- The growth factor is 2 since it is the base of the exponential term.

So, in this case, the initial amount "a" is 20, and the growth factor "b" is 2.

Remember, when identifying the initial amount and the growth factor, you can compare the given function with the general form and look for any numbers that are constant (not dependent on "x") or part of the exponent term.

I hope this explanation helps! Let me know if there's anything else I can assist you with.