The graph shows the function g(x) . select from the drop-down menu to correctly compare the growth factors for the exponential functions g(x) and f(x)=5(3)^x . the growth factor of f(x) is the growth factor of g(x) . a: greater than b: less than c: equal to

The correct option is B. The growth factor of f(x) is less than the growth factor of g(x).

Step-by-step explanation:

In an exponential function

Where (1+r) is growth factor and r is the growth rate.

The given function is

Therefore growth factor of f(x) is 3.

From the graph it is noticed that it is an exponential function which is passing through (0,1) and (1,5).

Let the equation of g(x) is

The graph passing through (1,5). so we get

Therefore the value of a is 1 and value of b is 5.

The equation of g(x) is

Therefore growth factor of g(x) is 5.

Since 3<5, therefore we can say that the growth factor of f(x) is less than the growth factor of g(x). Option B is correct.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.