1). it is increasing at [-2,0]u[0,2] because the output is positive, above the x-axis. it is decreasing at (-∞,-2]u[2,∞) because the output is negative, below the x-axis.
2). there is a local minimum at x=0, and local maximum at x=-1.25, 1.25.
3). you cant tell with this graph because it is the graph of f '(x), it doesnt show the f(x).
4). the power function of f(x) is 5. it is 5 because the graph of the derivative has 4 slopes. by that i mean it changes the sign of the slope 4 times. so to get the derivative you subtract 1 off the power function and to find the f(x) you just add 1 to the f '(x).
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ReplyDeleteA function is concave up when f''(x)>0 and concave down when f''(x)<0. From the graph f '(x) you can see where the slope is positive or negative
ReplyDelete1. Yup! Except, I don't see why you split up the first union of intervals if youre going to include 0 anyways. It should be (), not [].
ReplyDelete2. Nope. Sorry. Try again.
3. What Ivan said.
4. 5?? What do you meeean 5?