Question

Algebra 2> T.12 Describe Iinear and exponentlal growth and decay KIF How does g(x)=10^(x) change over the interval from x=2 to x=4 ? g(x) increases by a factor of 100 g(x) decreases by 100 g(x) increases by a factor of 20 g(x) decreases by 10% Submit

Answer 1

To solve this problem, we first need to calculate the values of g(x) = 10^x at x=2 and x=4.

We first plug x=2 into the function: g(2) = 10^2 = 100.
Next, we plug x=4 into the function: g(4) = 10^4 = 10000.

These calculations mean that, when x = 2, g(x) is 100 and when x = 4, g(x) is 10000.

Now, the task is to find how much the function g(x) changes over the interval from x=2 to x=4. To do this, we divide the value of g(x) at x=4 by the value of g(x) at x=2.

So, we calculate: change = g(4) / g(2) = 10000 / 100 = 100.

This means that g(x) increases by a factor of 100 over the interval from x=2 to x=4.

Therefore, the answer is 'g(x) increases by a factor of 100'.