You have to simplify the 1/5 first.
Then simplify the square root of 1 to equal 1
Then rationalize the denominator
Then simplify
Then simplify the square root of 1 to equal 1
Then rationalize the denominator
Then simplify
There are 5 cyclists in a race. There will be a first-place, a second-place, and a third-place prize awarded. In how many differ
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We need to graph the given piecewise function.
To graph any piecewise function we do that into parts
Let's graph upper part first which is
restriction for that is
that means we are free to pick any number for x that is between -5 and 3, including 3.
So we will find few points by plugging random numbers between -5 and 3.
Let's use x=-5, we get:
so first point is (-5,27).
similarly we can find other points like (0,2), (2,6), (-1,3) etc.
Now we join those points by a curved line.
means we use a close circle at -5
x<3 means use open circle at 3
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Repeat same process for 2nd part f(x)=x-4
choose any number between 3 and 7 like x=3, 4 etc
so we get points (3,-1), (4,0) etc
Now graph them
So the final graph will look like:
