For the graph of a function y = f(x) shown to the right, find the absolute maximum and the absolute minimum, if they exist. Identify any local maxima or local minima. (5,7) (1,5) (7,5) (3,2) Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum of y = f(x) is f(_]) = (Type integers or simplified fractions.) O B. There is no absolute maximum for y = f(x). Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute minimum of y = f(x) is f( ]) =. (Type integers or simplified fractions.) O B. There is no absolute minimum for y = f(x). Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. O A. The local maximum of y = f(x) is f() = (Type integers or simplified fractions.) O B. The local maxima of y = f(x) are f( ) = andf()=. (Use ascending order with respect to x. Type integers or simplified fractions.) O C. There is no local maximum for y = f(x). Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. O A. The local minimum of y = f(x) is f( ) = (Type integers or simplified fractions.) O B. The local minima of y = f(x) are f( ) = and f( ) =. (Use ascending order with respect to x. Type integers or simplified fractions.) O C. There is no local minimum for y = f(x).Find the difference quotient of f(x) = x2 - 6; that is find (x + h) -f(x) 2, h #0. Be sure to simplify. h The difference quotient isFind the average rate of change of f(x) = 3x2 + 4 over each of the following intervals. (a) From 0 toZ (D) From 3 to 5 (c) From 3 to 6 (a)111e average rate of change from 0 to 2 is I]. (b}111e average rate of change from 3 to 5 is D. (o) The average rate of change from 3 to 6 is D. The function f is dened as follows. x ifxaO 1 ifx=0 rm = (8) Find the domain of the function. (b) Locate any intercepts. (c) Graph the function. (d) Based on the graph, find the range. (a)111e domain of the function f is E. (Type your answer in interval notation.) (b) Locate any intercepts. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A. The intercept(s) isfare E. (Type an ordered pair. Use a comma to separate answers as needed.) 0 B. There are no intercepts. (G) Choose the correct graph below. 0A. a \" E). E? a \" Q E? (d) Based on the graph, find the range. Select the correct choice below and ll in the answer box(es) to complete your choice. 0 A- The range has at least one isolated value. It can be described as the union of the interval(s) D and the set {I. (Use a comma to separate answers as needed.) 0 3- The range consists exclusively of one or more isolated values. It can be described as I}. (Use a comma to separate answers as needed.) 0 C. The range does not have any isolated values. It can be described by E. (Type your answer in interval notation.) If f(x) is defined as follows, find (a) f( - 2), (b) f(0), and (c) f(3). if x 0 (a) f( -2) = (Simplify your answer.) (b) f(0) = (Simplify your answer.) (c) f(3) = (Simplify your answer.)