Question

Use the graph of the function to estimate the intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.)

Answer 1

The intervals on which the graph is increasing:   ]-∞,-3[ U ]0.5,-∞[ . On the other hand, the graph is decreasing:  ]-3,0.5[

Function

A function can be classified as increasing or decreasing. Thus, a function is increasing when the y-values increase, on the other hand, a function is decreasing when the y-values decrease.

From the image, you can see that the y-values increase in the following x-intervals: from -∞ to -3 and from 0.5 to ∞. Using interval notation, you can write that the function is increasing in:

                                  ]-∞,-3[ U ]0.5,-∞[

From the graph, you can see that the y-values decrease in the following x-intervals: from -3 to 0.5. Using interval notation, you can write that the function is decreasing in:

                                         ]-3,0.5[

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