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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 :

Answer:

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

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

[tex]\begin{gathered} a=2\times0=0 \\ b=3\times2(0)=3\times0=0 \\ c=2^{3(0)}=2^1=2 \end{gathered}[/tex]

When x=1

[tex]\begin{gathered} d=2\times1=2 \\ e=3\times2(1)=3\times2=6 \\ f=2^{3(1)}=2^3=8 \end{gathered}[/tex]

Therefore:

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