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# Help

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Below is a portion of the graph of an invertible function, \$y=f(x)\$:

If \$f(a)=b\$ and \$f(b)=4\$, then what is the value of \$a-b\$?

Jul 24, 2018

#1
+2340
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If \(f(b)=4\), then this means that there is a specific input for this function that outputs 4. On a graph, the x-values represent the inputs of the function and the y-values represent the output. In this case, \(f(2)=4\), which is evident because of the given graph.

If \(f(2)=4\), then \(b=2\), so \(f(a)=2\). Using the same reasoning as before, \(f(0)=2\), so \(a=0\)

\(a-b=0-2=-2\)

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Jul 24, 2018

#1
+2340
+1

If \(f(b)=4\), then this means that there is a specific input for this function that outputs 4. On a graph, the x-values represent the inputs of the function and the y-values represent the output. In this case, \(f(2)=4\), which is evident because of the given graph.

If \(f(2)=4\), then \(b=2\), so \(f(a)=2\). Using the same reasoning as before, \(f(0)=2\), so \(a=0\)

\(a-b=0-2=-2\)

TheXSquaredFactor Jul 24, 2018