how to make a xy table for the following greatest integer equation.
f(x)=2[x], g(x)=[2x], f(x)=-[[x]], and
g(x)=[[-x]]
thank you for the help
just list some x values, and their corresponding function values.
Not sure what [[x]] is
I think [x] is the greatest integer function (floor)
What is [[x]]? ceiling? absolute value?
x is the values you plug into like 0,1,2,3 but I'm confused how to solve when plugging in because of the greatest integer function value
greatest integer is easy. Take any value, and use the greatest integer less than or equal to that value.
[0] = 0
[0.4] = 0
[0.999] = 0
[1.11] = 1
[2.345] = 2
[1323.3423] = 1323
Watch out for negative values:
[-0.5] = -1
[-1.01] = -2
[-14.43] = -15
Still no idea what you mean by [[x]]
To create an XY table for the given greatest integer equations, you can follow these steps:
Step 1: Choose a range of x-values for the table. Let's say we want to find the values for x from -5 to 5.
Step 2: Calculate the values for each equation by substituting the x-values in the equation.
Let's go through each equation and fill in the table:
For f(x) = 2[x]:
- Substitute each x-value from -5 to 5 into the equation.
- Find the greatest integer less than or equal to x and multiply it by 2.
- For example, for x = -5, the greatest integer less than or equal to -5 is -5, so 2 times -5 is -10.
- Continue this process for each x-value and fill in the results in the table.
For g(x) = [2x]:
- Substitute each x-value from -5 to 5 into the equation.
- Multiply x by 2 and find the greatest integer less than or equal to the result.
- For example, for x = -5, 2 times -5 is -10, and the greatest integer less than or equal to -10 is -10.
- Again, continue this process for each x-value and fill in the results.
For f(x) = -[[x]]:
- Substitute each x-value from -5 to 5 into the equation.
- Find the greatest integer less than or equal to x.
- Multiply the result by -1 and find the greatest integer less than or equal to that result.
- For example, for x = -5, the greatest integer less than or equal to -5 is -5, so -1 times -5 is 5.
- Lastly, find the greatest integer less than or equal to 5, which is 5.
- Repeat this for each x-value and fill in the results.
For g(x) = [[-x]]:
- Substitute each x-value from -5 to 5 into the equation.
- Multiply x by -1 and find the greatest integer less than or equal to that result.
- For example, for x = -5, -1 times -5 is 5, and the greatest integer less than or equal to 5 is 5.
- Continue this process for each x-value and fill in the results.
By following these steps, you can generate an XY table for the given greatest integer equations.