document.write( "Question 900999: I am trying to figure out how to make a f(x) function for the following coordinates (I am at a loss on how to do this) and I am not sure how to attach the graph:\r
\n" ); document.write( "\n" ); document.write( "Graph 1 is the graph of f(x). Tick Marks are in units of 1. The three solid dots in Graph 1 are (-3,2), (-1,2) and (1,0).\r
\n" ); document.write( "\n" ); document.write( "a. Graph 1 is piecewise linear. Find a formula for f(x).\r
\n" ); document.write( "\n" ); document.write( "My original answer was f(x)=-1/4x^2-x+5/4 because that is the equation of the parabola but I don't think that is the correct answer to this problem. \n" ); document.write( "
Algebra.Com's Answer #546373 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
piecewise linear means that we have more than one straight line piece to consider, actually we have two given the three points,
\n" ); document.write( "y = 2 if -3 < or = x < or = -1
\n" ); document.write( "the second piece is a line that we determine from the two points (-1,2) and (1,0)
\n" ); document.write( "slope = (0 -2) / (1 - (-1) = -2/2 = -1
\n" ); document.write( "let's use (1,0) to determine our y intercept b,
\n" ); document.write( "0 = -(1) + b
\n" ); document.write( "b = 1 and equation is
\n" ); document.write( "y = -x +1 we then write f(x) in two pieces
\n" ); document.write( "f(x) = 2 if -3 < or = x < or = -1
\n" ); document.write( "f(x) = -x +1 if -1 < x < or = 1\r
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