Question

Find the percent change to the nearest percent for the following function: f(x)=2(1-.3)^-x

Answer 1

Graph f(x)=2(1/3)^x

f(x)=2(13)xf(x)=2(13)x

Find the yy value at x=0x=0.

y=2y=2

Find the yy value at x=−1x=-1.

y=6y=6

Find the yy value at x=−2x=-2.

y=18y=18

Find the yy value at x=1x=1.

y=0.66666666y=0.66666666

Find the yy value at x=2x=2.

y=0.22222222y=0.22222222

List the points to graph

(0,2),(−1,6),(−2,18),(1,0.66666666),(2,0.22222222)0,2,-1,6,-2,18,1,0.66666666,2,0.22222222

Use the found points and asymptotes to graph y=23xy=23x.

xy−218−160210.66720.222