Which graph models the function f(x)=-2(3)^x

Solution:

We are an exponential function.

If a<0 and b>1 then graph is decreasing.

If a>0 and b<1 then graph is decreasing.

If a<0 and b<1 then graph is increasing.

If a>0 and b>1 then graph is increasing.

Here a=-2<0 and b=3>1 therefore, f(x) is decreasing.

Horizontal asymptote , y=0

x-intercept: Doesn't not exist

y-intercept: (0,-2)

Using above information we will draw the graph f(x)

We make table of x and y for different value of x

  x        y

-2       -0.22

 -1       -0.67

 0          -2

 1           -6

 2           -18

Plot these points on graph and join the points.

 Please see the attachment to see the graph.

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

step-by-step explanation:

in which figure is point g a centroid