1.The function is increasing from negative infinity to -1, and 0 to 1
the function is decreasing from 1 to 0, and 1 to infinity. The slope determines when the function is increasing or decreasing, and the given graph is the slope of the original function.
2. There is a local max at (1,4), because that is the point where the slope of the function changes from positive to negative.
3.The Function is concave up from x=0 to x=1, because that is where the slope of the given graph is positive, and the function is concave down at x=1 to infinity because that is where the slope of the given graph is negative.
4. The given graph is x^4 and that graph is the derivative of the original function which is not given. If you were to take the antiderivative, it could be x^5 or x^5+c
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1. =( This wouldve been a good answer if I was asking for where f' was increasing or decreasing. However, I"m asking for where f is increasing or decreasing.
ReplyDelete2. The point (1, 4) or the interval. Neither makes it correct, but I can't see what you seeing to help you.
3. Yes! Except how come you ignored the other intervals where the graph has a positive and negative slope?
4. Yup! =)