QuestionFind so that if , then using points (.7,1.2) and (1.1,.8).
Studdy Solution
STEP 1
Assumptions1. The function is represented by a graph. We are given two points on the graph (.7,1.) and (1.1,.8)
3. We need to find a number such that if then
STEP 2
We need to find the distance of the given points from . This is done by subtracting the x-coordinate of each point from1.
STEP 3
Calculate the distances and .
STEP 4
The number we are looking for is the smallest distance that satisfies the condition for all such that . From the given points, we can see that the condition is satisfied for values between0.7 and1.1. Therefore, we take the smallest of the calculated distances as our .
STEP 5
Plug in the values for and to find .
STEP 6
Calculate the value of .
The number such that if then is0.1.
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