For the equation xz+ y- - 4x -2y -4=0, do the following. + (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any. (a) The center is (Type an ordered pair.) The radius is r= X 10 8 6 4 5 6 8 10 (b) Use the graphing tool to graph the circle. (c) Find the intercepts, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The intercept(s) is/are (Type an ordered pair. Use a comma to separate answers as needed. Type exact answers for each coordinate, using radicals as needed.) O B. There is no intercept.Use the graph of the function f shown to the right to answer parts (a)-(n). (a) Find f( - 21) and f( - 6). rt-21)= |:| HF |:| (b) Find rug) and rm}. was |:| f()= |:| (c) ls f(6) positive or negative? O Negative 0 Positive (d) Is f( - 6) positive or negative? 0 Negative 0 Positive (e) For what value(s) of x is [(x) = 0? (Use a comma to separate answers as needed.) (f) For what values of x is f(x) > 0? (Type a compound inequality. Use a comma to separate answers as needed.) (9) What is the domain of f? The domain off is {xl -. (Type a compound inequality.) (h) What is the range of f? The range off is {yI |:|}. (Type a compound inequality.) (i) What are the xintercept(s)? (Type an integer or a simplied fraction. Use a comma to separate answers as needed.) (j) What are the yintercept(s)? v = |:| (Type an integer or a simplied fraction. Use a comma to separate answers as needed.) (R) How often does the line y = 1 intersect the graph? |:| time-(s) (I) How often does the line x = 2 intersect the graph? |:| time-(s) (m) For what value(s) of x does f(x) = - 6? (Use a comma to separate answers as needed.) (n) For what value(s) of x does f(x) = 9? (Use a comma to separate answers as needed.) Using the given graph of the function f, nd the following. (a) the intercepts, if any (h) its domain and range (c) the intervals on which it is increasing, decreasing, or constant (d) whether it is even, odd, or neither (a) What are the intercepts? |:| (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) (b) The domain is |:|. (Type your answer in interval notation. Round to the nearest integer as needed.) The range is |:|. (Type your answer in interval notation. Round to the nearest integer as needed.) (c) On which interval(s) is the graph increasing? Select the correct choice below and ll in any answer boxes within your choice. 0 A. The graph is increasing on |:|. (Type your answer in interval notation. Use a comma to separate answers as needed.) 0 B. There is no interval on which the graph is increasing. On which interval(s) is the graph decreasing? Select the correct choice below and ll in any answer boxes within your choice. 0 A. The graph is decreasing on |:|. (Type your answer in interval notation. Use a comma to separate answers as needed.) 0 B. There is no interval on which the graph is decreasing. On which interval(s) is the graph constant? Select the correct choice below and ll in any answer boxes within your choice. 0 A- The graph is constant on |:|. (Type your answer in interval notation. Use a comma to separate answers as needed.) 0 B. There is no interval on which the graph is constant. (d) The function is (1 ) (1) 0 even. 0 odd. 0 neither even nor odd. 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. (2,5) -1,2) (4,3): - 3 (0,0) 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( and f (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).Do the following for the function g(x) = 10x2 + 8x. (a) Express the slope of the secant line in terms of x and h. (b) Find msec for h = 0.5, 0.1, and 0.01 at x = 1. What value does msec approach as h approaches 0? (c) Find the equation for the secant line at x = 1 with h = 0.01. (d) Graph g and the secant line found in part (c) on the same viewing window. (a) Type the slope of the secant line in terms of x and h. msec (Simplify your answer. Do not factor.) (b) For h = 0.5 at x = 1, msec (Round to two decimal places as needed.) For h = 0.1 at x = 1, msec (Round to two decimal places as needed.) For h = 0.01 at x = 1, msec= (Round to two decimal places as needed.) As h approaches 0, msec approaches (Type an integer or a decimal.) (c) The equation for the secant line at x = 1 with h = 0.01 is y = (Type the expression in slope-intercept form. Round coefficients to two decimal places as needed.) (d) Which of the following is the graph of f and the secant line? O A. OB. O C. 20 20 - 6 - 5 -5 -5 -5 - 6