I am supposed to match the function with its possible range.
y=2x-1 is the probrem
The ranges include
-7,-4,-1,2,5,8 or
-5,-3,-1,1,3 or
11,6,1,-4,-9,-14 or
4,3,2,1,0
Can you teach me how to figure this out???
Sure! To find the range of a function, you need to substitute different values of x into the function and observe the corresponding values of y.
Let's start with the given function y = 2x - 1 and substitute each value from the given ranges into it:
For the first range -7, -4, -1, 2, 5, 8:
1. For x = -7: y = 2(-7) - 1 = -15
2. For x = -4: y = 2(-4) - 1 = -9
3. For x = -1: y = 2(-1) - 1 = -3
4. For x = 2: y = 2(2) - 1 = 3
5. For x = 5: y = 2(5) - 1 = 9
6. For x = 8: y = 2(8) - 1 = 15
So, the corresponding range for these x-values is -15, -9, -3, 3, 9, 15.
Now let's check if any of the given ranges match this range:
-7, -4, -1, 2, 5, 8 does not match any of the given ranges.
Therefore, the range -15, -9, -3, 3, 9, 15 does not match any of the provided options.
Remember, to find the range, you substitute the values of x into the function and observe the resulting values of y. Then, you compare those values to the given options.