Complete the table for the function "y" equals 3 left parenthesis, 2 , right parenthesis Superscript, "x" , Baseline

Question

y=32x.

x
y
Result
negative 1
Math Input:
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Math Input:
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Math Input:
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Math Input:
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Answer 1

To complete the table for the function \( y = 3 \cdot 2^x \), let's calculate the values of \( y \) for different values of \( x \).

We'll use the values for \( x \): -1, 0, 1, 2, and 3.

1. For \( x = -1 \): \[ y = 3 \cdot 2^{-1} = 3 \cdot \frac{1}{2} = \frac{3}{2} = 1.5 \]

2. For \( x = 0 \): \[ y = 3 \cdot 2^0 = 3 \cdot 1 = 3 \]

3. For \( x = 1 \): \[ y = 3 \cdot 2^1 = 3 \cdot 2 = 6 \]

4. For \( x = 2 \): \[ y = 3 \cdot 2^2 = 3 \cdot 4 = 12 \]

5. For \( x = 3 \): \[ y = 3 \cdot 2^3 = 3 \cdot 8 = 24 \]

Now, let's complete the table:

| \( x \) | \( y \) | |-----------|-----------| | -1 | 1.5 | | 0 | 3 | | 1 | 6 | | 2 | 12 | | 3 | 24 |

This table displays the corresponding \( y \) values for each \( x \).