MTH 163 - ANALYZING GRAPHS OF FUNCTIONS For each of the following graphs, identify the following: 1. domain 2. range 3. x-intercept(s), if any 4. y-intercept, if any 5. symmetric with respect to the x-axis? 6. symmetric with respect to the y-axis (EVEN)? 7. symmetric with respect to the origin (ODD)? 8a) intervals where the function is increasing; 8b) decreasing; 8c) constant 9. number(s) at which f has a local minimum 10. number(s) at which f has a local maximum 11. absolute minimum value of f 12. absolute maximum value of f Domain Range x-intercepts y-intercepts Symmetry WRT x-axis Symmetry WRT y-axis Symmetry WRT (0, 0) Intervals where increasing Intervals where decreasing Intervals where constant Number(s) at which f has a local minimum Number(s) at which f has a local maximum Absolute minimum of f Absolute maximum of f Domain Range x-intercepts y-intercepts Symmetry WRT x-axis Symmetry WRT y-axis Symmetry WRT (0, 0) Intervals where increasing Intervals where decreasing Intervals where constant Number(s) at which f has a local minimum Number(s) at which f has a local maximum Absolute minimum of f Absolute maximum of f x=5 (0, -2.8) Domain Range x-intercepts y-intercepts Symmetry WRT x-axis Symmetry WRT y-axis Symmetry WRT (0, 0) Intervals where increasing Intervals where decreasing Intervals where constant Number(s) at which f has a local minimum Number(s) at which f has a local maximum Absolute minimum of f Absolute maximum of f Domain Range x-intercepts y-intercepts Symmetry WRT x-axis Symmetry WRT y-axis Symmetry WRT (0, 0) Intervals where increasing Intervals where decreasing Intervals where constant Number(s) at which f has a local minimum Number(s) at which f has a local maximum Absolute minimum of f Absolute maximum of f