![]() ![]() We can compare this answer to what we get by plugging in \(x = 4\). We move 4 units to the right, then 1 unit down. To find the output, we move left 3 units and then up until we hit the graph. We can also just evaluate the function directly. Since the graph is below the \(x\)-axis, we move down until we hit the graph. Therefore, we just start at 0 and do not need to move horizontally. ![]() Use the graph below to determine the following values for \(f(x) = |x - 2| - 3\):Īfter determining these values, compare your answers to what you would get by simply plugging the given values into the function. For example, if we had a graph for a function \(f\) and we wanted to use that to know what \(f(3)\) was, we would start at the origin (0, 0), then move along the horizontal axis to where \(x = 3\) and then move up or down until we hit the graph. To use a graph to determine the values of a function, the main thing to keep in mind is that \(f(input) = ouput\) is the same thing as \(f(x) = y\), which means that we can use the \(y\) value that corresponds to a given \(x\) value on a graph to determine what the function is equal to there. Our first task is to work backwards from what we did at the end of the last section, and start with a graph to determine the values of a function. In this section, we will dig into the graphs of functions that have been defined using an equation. In our last section, we discussed how we can use graphs on the Cartesian coordinate plane to represent ordered pairs, relations, and functions. Using a Graph to Determine Values of a Function ![]()
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