I need help making to t-charts.
a. 1 if -1/2 is less than or equal to x less than or equal to 1.
b. x^3 if x>1
To create T-charts, you'll start by selecting some specific values for the variable x and evaluating the given expressions based on those values. Let's create the T-charts for the given scenarios:
a. 1 if -1/2 is less than or equal to x less than or equal to 1:
1. Choose some values of x that satisfy the given condition. Let's select x = -1/2, 0, and 1.
2. Evaluate the expression 1 for each of the chosen values of x.
- For x = -1/2, 1 = 1.
- For x = 0, 1 = 1.
- For x = 1, 1 = 1.
3. Fill out the T-chart:
| x | 1 |
| -1/2 | 1 |
| 0 | 1 |
| 1 | 1 |
b. x^3 if x > 1:
1. Choose some values of x that satisfy the given condition. Let's select x = 2, 3, and 4.
2. Evaluate the expression x^3 for each of the chosen values of x.
- For x = 2, 2^3 = 8.
- For x = 3, 3^3 = 27.
- For x = 4, 4^3 = 64.
3. Fill out the T-chart:
| x | x^3 |
| 2 | 8 |
| 3 | 27 |
| 4 | 64 |
Now you have created the T-charts for both scenarios.