Question

Complete the table to investigate dilations of exponential functions. x. 2x. 3×2x 2^3x-2. 1/4. 3/4. 1/64-1. 1/2. 3/1. 1/80. a. b. c1. d. e. f2. 4. 12. 64a= b= c= d= e= f=

Answer 1

a=0, b=0, c=2, d=2, e=6 and f=8

Step-by-step explanation:

Given the table below:

x. 2x. 3×2x 2^3x

-2. 1/4. 3/4. 1/64

-1. 1/2. 3/1. 1/8

0. a. b. c

1. d. e. f

2. 4. 12. 64

When x=0

`\begin{gathered} a=2*0=0 \\ b=3*2(0)=3*0=0 \\ c=2^(3(0))=2^1=2 \end{gathered}`

When x=1

`\begin{gathered} d=2*1=2 \\ e=3*2(1)=3*2=6 \\ f=2^(3(1))=2^3=8 \end{gathered}`

Therefore:

a=0, b=0, c=2, d=2, e=6 and f=8