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 $a-b$?

Guest Jul 24, 2018

#1**+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

#1**+1 **

Best Answer

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