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A. Complete the table.

х
f(x) = 2(2)*
=
-2 -1
0
1
2
1

A. Complete the table. х f(x) = 2(2)* = -2 -1 0 1 2 1-example-1

1 Answer

7 votes

Answer:

1/2,1,2,4,8 in order

Explanation:

Given:


\displaystyle \large{f(x)=2(2)^x}

The function can be simplified to:


\displaystyle \large{f(x)=2^(x+1)} via law of exponent.

Recall:


\displaystyle \large{a^m\cdot a^n=a^(m+n)}

Next, substitute given x-values in:


\displaystyle \large{f(-2)=2^(-2+1)=2^(-1)=(1)/(2)}\\\displaystyle \large{f(-1)=2^(-1+1)=2^0=1}\\\displaystyle \large{f(0)=2^(0+1)=2^1=2}\\\displaystyle \large{f(1)=2^(1+1)=2^2=4}\\\displaystyle \lage{f(2)=2^(2+1)=2^3=8}

Therefore, the solution is 1/2,1,2,4,8

User Thespacecamel
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