Question

(1) For the function f(x) = −x , identify the intervals of increase/decrease and concave up/down....

(1) For the function f(x) = −x , identify the intervals of increase/decrease and concave up/down.x2 − 1

Sketch a graph of the function in accordance with these conditions. Your sketch should also include

• the following points: the x and y intercepts, local maximums, local minimums, and inflections,

• and all asymptotes (both horizontal and vertical).
If the function does not have a property listed above, then clearly state that the function does not

satisfy the requested property.

(2) For the function f(x) = 1x(4−x)3, identify the intervals of increase/decrease and concave up/down.9

Sketch a graph of the function in accordance with these conditions. Your sketch should also include

• the following points: the x and y intercepts, local maximums, local minimums, and inflections,

• and all asymptotes (both horizontal and vertical).
If the function does not have a property listed above, then clearly state that the function does not

satisfy the requested property.

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Answer #1

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