Use the graphs of ƒ' and ƒ" to complete the following ste...

Question

Use the graphs of ƒ' and ƒ" to complete the following steps.

b. Determine the locations of the inflection points of f and the intervals on which f is concave up or concave down.

Accepted Answer

Determine the intervals of concavity and the inflection points of the function using the graph of FX. Now we're presented with the graph of F X here, which is just a parabola. Now, let's first find the inflection point. The inflection point Is given When our function F of X is equals to 0. If we look at our graph, we can see it equals 0 in 2 places. At X equals -3. And X equals 3. No. Our intervals of cavity are given by a couple of different things. We can first check if it's on cave up. To check if it's concave up, we see where the second derivative is greater than 0. Concave down the similar. But where the second derivative is less than 0. So if we look at our graph again. We see that our function is positive. In two places. From native infinity to native 3. And from 3 to positive infinity. For concave down, we can see our graph is below 0. Between -3 and 3. We now have all 3. Things for our answer. Our inflection points being -3, 3. And our concave up interval being from negative infinity to -3, and 3 to infinity, and our concave down interval being from -3 to 3. OK, I hope to help you solve the problem. Thank you for watching. Goodbye.

Use the graphs of ƒ' and ƒ" to complete the following steps. <IMAGE>
b. Determine the locations of the inflection points of f and the intervals on which f is concave up or concave down.

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Use the graphs of ƒ' and ƒ" to complete the following steps. <IMAGE>b. Determine the locations of the inflection points of f and the intervals on which f is concave up or concave down.

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Use the graphs of ƒ' and ƒ" to complete the following steps. <IMAGE>
b. Determine the locations of the inflection points of f and the intervals on which f is concave up or concave down.