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3-131.

The graph of is shown at right. Use the graph to list the following values in ascending (increasing) order: 3-131 HW eTool (Desmos). Homework Help ✎

means the slope at . Is the slope at  positive, negative or zero? How does this compare with the slope at ?

f '(4) means the slope at . Is the slope at  positive, negative or zero? How does it compare with the slope at ?

means the average rate of change between and .

Graphically, this can be seen as the slope of the secant line. Is that slope positive, negative or zero? How does it compare with the slopes at and , and with the value of ?

Looking at the graph from left to right, it is increasing always. The slopes start steep and, as , get smoother.

Graph in Quadrant 1 starting at (0,0) increasing concave down

Use the eTool below to help solve the problem.
Click the link at right for the full version of the eTool: Calc 3-131 HW eTool