QuestionFind the value of for the piecewise function if it's continuous.
Studdy Solution
STEP 1
Assumptions1. The function is defined as a piecewise function with two parts for and for .
. The function is continuous everywhere on .
3. We need to find the value of .
STEP 2
Since the function is continuous everywhere, it must be continuous at . This means that the two parts of the function must meet at . We can set the two parts equal to each other at to find the value of .
STEP 3
Plug in into the equation.
STEP 4
implify the equation to find the value of .
STEP 5
olve the equation for .
STEP 6
Now that we have the value of , we can find the value of by plugging into the first part of the piecewise function (since ).
STEP 7
Plug in the value of into the equation.
STEP 8
Calculate the value of .
So, the value of is4.
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