The graphs of several functions f are shown below. For each function, estimate the slope of the graph of f at various points. From your estimates,sketch ′ graphs of f .

Question

The graphs of several functions f are shown below. For each function, estimate the slope of the graph of f at various points. From your estimates, sketch graphs of f ' .

Answer 1

Do your best job at drawing a tangent line on the curve at the appropriate x value and then look at the change in y vs the change in x (the rise/run) to estimate the slope. Like this:

At like x = -1 I drew the blue tangent line and I estimated the slope as 1 because the rise equals the run (approximately) at that x-value.