	Complete the table for the given functions, rounding your answers 	(2 marks)
to two decimal place, where appropriate.																	
f(x)=3^x


To complete the table for the function \( f(x) = 3^x \), we need to evaluate the function for the given values of \( x \). I’ll demonstrate the process for a general range of \( x \) values, typically integers such as \( -2, -1, 0, 1, 2 \), unless specified otherwise.

Here’s the step-by-step calculation for each value:

1. \( f(-2) = 3^{-2} = \frac{1}{3^2} = \frac{1}{9} \approx 0.11 \)
2. \( f(-1) = 3^{-1} = \frac{1}{3} \approx 0.33 \)
3. \( f(0) = 3^0 = 1 \)
4. \( f(1) = 3^1 = 3 \)
5. \( f(2) = 3^2 = 9 \)

Here's the completed table:

| \( x \) | \( f(x) = 3^x \) |
|---------|------------------|
| -2      | 0.11             |
| -1      | 0.33             |
| 0       | 1.00             |
| 1       | 3.00             |
| 2       | 9.00             |

Would you like me to go over any specific calculations in more detail, or do you have other questions?

### Related Questions:
1. How do you calculate powers of negative exponents?
2. How does the function \( f(x) = 3^x \) behave as \( x \) increases?
3. What is the significance of the base in exponential functions?
4. How would the values change if the base was \( 2 \) instead of \( 3 \)?
5. How does \( f(x) = 3^x \) compare to \( f(x) = e^x \)?

**Tip:** Exponential functions grow rapidly; understanding how the base affects the rate of growth can help in estimating values.

Complete the table for the given functions, rounding your answers to two decimal places, where appropriate. f(x) = 3^x

Complete the table for the exponential function f(x) = 3^x, evaluating values of x from -2 to 2. Learn the properties of exponents and how to round answers to two decimal places. This problem involves exponential functions and is suitable for students in Grades 9-10.

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