You are asked to complete the table of values for $y = 2^x$.

Given table:

To complete this table, we need to calculate $y = 2^x$ for each value of $x$.

Steps:

1. $x = -2$: $y = 2^{-2} = \frac{1}{2^2} = \frac{1}{4} = 0.25$ (this value is already given)
2. $x = -1$: $y = 2^{-1} = \frac{1}{2} = 0.5$
3. $x = 0$: $y = 2^0 = 1$
4. $x = 1$: $y = 2^1 = 2$ (already given)
5. $x = 2$: $y = 2^2 = 4$
6. $x = 3$: $y = 2^3 = 8$

Completed table:

Would you like more details or any clarifications on how the values were calculated?

Related questions:

1. How do you compute negative exponents like $2^{-x}$?
2. What is the pattern in the table of values for $y = 2^x$?
3. How does changing the base of the exponent affect the graph of the function?
4. What happens when the exponent is a fraction or a decimal?
5. Can you predict the behavior of $y = 2^x$ as $x$ approaches very large negative or positive values?

Tip:

For exponential functions, values grow rapidly for positive exponents and approach zero for negative exponents.