(1) Find local maximum and minimum values and saddle point(s) of each function. The use a graphing tool to verify your computations. (Don't provide any graphs, just your analysis). (a) f(x, y) = 2 – xª + 2x² – y² (c) f(x, y) = x² + xy? – 2x + 1 (b) f(x, y) = xª + 2y² – 4æy

Find the intercepts of the function. f(x) = x3 − 2x2 − 15x   x-intercept      (x, y)  =                 (smallest x-value) x-intercept      (x, y)  =                  x-intercept      (x, y)  =                 (largest x-value) y-intercept      (x, y)  =

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x, y) = 4 − x4 + 2x2 − y2

Find the intercepts of the function. f(x) = x4 − 625   x-intercept      (x, y)  =                 (smaller x-value) x-intercept      (x, y)  =                 (larger x-value) y-intercept      (x, y)  =