Consider the function f(x) = 15(0.4)^x

 

a. Complete the table of values. SHOW WORK. Round
to first decimal place.

x	-1	0	1	2
f(x)

b. Graph the function using the points found in part a.
Label tick marks on the axes clearly.

a) 

b) The graph is given below. 

Step-by-step explanation

Given function is f(x)=15(0.4)x

a) 

Now, to calculate the function values at particular values of "x", replace the value of 'x" with that particular value in f(x)=15(0.4)x

x=−1?f(x)=f(−1)=15(0.4)−1=15(104?)−1=15×410?=15×2.5?f(−1)=37.5

x=0?f(x)=f(0)=15(0.4)0=15(104?)0=15×1=15

x=1?f(x)=f(1)=15(0.4)1=15(104?)1=15×104?=1060??f(1)=6

x=2?f(x)=f(2)=15(0.4)2=15(104?)2=15×10016?=100240??f(2)=2.4

b)

First we plot the points (−1,37.5),(0,15),(1,6),(2,2.4) on the graph and then draw the curve f(x)=15(0.4)x passing through these points. 

The graph is

Please see attached file