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The graph of y=f(x) is shown in red below. Assuming the graph consists of three line segments, what is f(-2)

size(150);real ticklen=3;real tickspace=2;real ticklength=0.1cm;real axisarrowsize=0.14cm;pen axispen=black+1.3bp;real vector...

(Assume grid lines are spaced 1 unit apart.)

 Nov 16, 2014

Best Answer 

 #1
avatar+33661 
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(f(-4) - f(-1))/(-4 - (-1)) = (f(-2) - f(-1))/(-2 - (-1))

 

(4 - (-1))/(-4 + 1) = (f(-2) - (-1))/(-2 + 1)

 

(4 + 1)/(-3) = (f(-2) + 1)/(-1)

 

5/3 = f(-2) + 1

 

f(-2) = 5/3 - 1

 

f(-2) = 2/3

 Nov 16, 2014
 #1
avatar+33661 
+6
Best Answer

(f(-4) - f(-1))/(-4 - (-1)) = (f(-2) - f(-1))/(-2 - (-1))

 

(4 - (-1))/(-4 + 1) = (f(-2) - (-1))/(-2 + 1)

 

(4 + 1)/(-3) = (f(-2) + 1)/(-1)

 

5/3 = f(-2) + 1

 

f(-2) = 5/3 - 1

 

f(-2) = 2/3

Alan Nov 16, 2014

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