Which graph models the function f(x) = −2(3)x?
Asked by maham237 @ in Mathematics viewed by 369 People
Answered by maham237 @
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.
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