Asap! !

the functions f(x) and g(x) are shown below:

f(x) = (0.001)x
g(x) = 0.001x

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

a. the graph of g(x) will eventually exceed the graph of f(x).
b. the graph of f(x) will eventually exceed the graph of g(x).
c. the graphs will both have their y-intercept equal to 1.
d. the graphs will both have their y-intercept equal to 0.001.

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

Step-by-step explanation:

We are given the functions,

and

Now, 'y-intercepts are the points where the graph cuts y-axis i.e. where x= 0'.

So, substituting x= 0, we get,

i.e. f(0) = 1

i.e. g(0 )= 0

That is, the function f(x) have y-intercept at 1 and the function g(x) have y-intercept at 0.

So,options C and D are not correct.

We have the table,

x                                                                

1                                0.001                                               0.001

2                             0.00001                                             0.002      

3                         0.000000001                                        0.003

4                       0.000000000001                                   0.004

So, we get that the fucntion g(x) is increasing as the value of x is increasing as compared to f(x)/

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

So, option A is correct.

df =

both have same length

you first to choose the points and then move from then as the slope you have