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Show transcribed image text Cale I, Fall 2017, Homework for Section 4.3, Name: Print a hard copy of this and fill in the blanks. Recall: A critical point of f(z) is a point in the domain of f(x) where cither f(r) 0 or f() fails to exist. We will adopt the convention that end points are not to be considered as critical points. However, they may be considered as local extrema. 1. Fill in the answers for the function f(r) below. (Note, in the diagnun below F = (-1,1) is suppose to represent a high point, and E- (1.-1) a low point.) a) The domain of f(r) is the interval b) The absolute maximun value of f(z) is c) The absolute minimum value of f(x) is d) The critical points of f(r) are r = e) Local minima occur atェ= f) Local maxima occur atr- , at ,atェ= (Do not inchude end points.) (Include relevant end points.) (Include relevant end points.) -4 2. Derive the vertex point formula· critical point where the slope is zero. for the parabola y ar2 + br + c, by finding the 3. Draw the graph of a function which is continuous on |-5,5], has an absolute maximum at 2, and a critical point that is エ -3, absolute niniminn atェ= 1, local maximum atェ not a local maximum or minimum at x = 2.