turn x:1,2,3,4,5 ;y:5,4,3,2,1 into y>|5-x|+1
To transform the equation y = |5 - x| + 1, we first need to calculate the absolute difference between 5 and each value of x. Then, we add 1 to the absolute difference to obtain the value of y.
Given x: 1, 2, 3, 4, 5 the absolute difference for each value would be:
|5 - 1| + 1 = 5 + 1 = 6
|5 - 2| + 1 = 3 + 1 = 4
|5 - 3| + 1 = 2 + 1 = 3
|5 - 4| + 1 = 1 + 1 = 2
|5 - 5| + 1 = 0 + 1 = 1
So, the transformed values for y are: 6, 4, 3, 2, 1.
To turn the given equation y = |5 - x| + 1, we can plug in the values of x from the given sequence and calculate the corresponding values of y.
Given x: 1, 2, 3, 4, 5
First, let's calculate y for x = 1:
y = |5 - 1| + 1
y = |4| + 1
y = 4 + 1
y = 5
Next, let's calculate y for x = 2:
y = |5 - 2| + 1
y = |3| + 1
y = 3 + 1
y = 4
Similarly, we can calculate y for the remaining values of x:
For x = 3: y = |5 - 3| + 1 = |2| + 1 = 2 + 1 = 3
For x = 4: y = |5 - 4| + 1 = |1| + 1 = 1 + 1 = 2
For x = 5: y = |5 - 5| + 1 = |0| + 1 = 0 + 1 = 1
So, the values of y corresponding to x: 1, 2, 3, 4, 5 are 5, 4, 3, 2, 1 respectively.
To convert the equation y = |5 - x| + 1 from the given turn x:1,2,3,4,5 ; y:5,4,3,2,1, you would follow these steps:
1. Plug in each value of x into the equation and evaluate the expression |5 - x| + 1 to find the corresponding values of y.
- For x = 1: y = |5 - 1| + 1 = |4| + 1 = 4 + 1 = 5
- For x = 2: y = |5 - 2| + 1 = |3| + 1 = 3 + 1 = 4
- For x = 3: y = |5 - 3| + 1 = |2| + 1 = 2 + 1 = 3
- For x = 4: y = |5 - 4| + 1 = |1| + 1 = 1 + 1 = 2
- For x = 5: y = |5 - 5| + 1 = |0| + 1 = 0 + 1 = 1
2. Record the pairs of corresponding x and y values obtained from step 1.
- (x = 1, y = 5)
- (x = 2, y = 4)
- (x = 3, y = 3)
- (x = 4, y = 2)
- (x = 5, y = 1)
Therefore, the converted set of values is: x:1,2,3,4,5 ; y:5,4,3,2,1.