Question

The functions f(x) and g(x) are shown below.

f(x) = 0.05x
g(x) = (0.05)x

Which statement best describes the graph of f(x) and g(x)?

The graph of g(x) will eventually exceed the graph of f(x).

The graph of f(x) will eventually exceed the graph of g(x).

The graphs will both have their y-intercept equal to 1.

The graphs will both have their y-intercept equal to 0.05

Answer 1

B

Answer 2

how did you get that? I need to understand this stuff.

Answer 3

Because I've studied this, if the rate at which it increases is below 1(exponential), it will be a decay, 0.05^5 = 0.0000003125 --> as it goes increasing the outcome get smaller and smaller, 0.05^10 = 0.00000000000009765625

The linear will exceed it because 0.05*5 = 0.25 --> 0.05*10 = 0.50

Answer 4

Thanks olot tHe_FiZiCx99, (: i understand it pretty good now