DATE PERIOD Sketching Graphs and Comparing Functions . Practice 18 Examples 1 and 2 Use the key features of each function to sketch its graph. 1. x-intercept: (2, 0) y-intercept: (0, -6) 2. x-intercept: (0, 0) Linearity: linear -intercept: (0, 0) Continuity: continuous Linearity: linear Positive: for values x > 2 Continuity: continuous Increasing: for all values of x Positive: for values x co, f(x) -> and Negative: for values of x > 0 as x -> -0o, f(x) - -0o. Decreasing: for all values of x s bris sign End Behavior: As x > co, f(x) > -co and as x -0o, f(x) - 0. 3. x-intercept: (5, 0) y-intercept: (0, 5) 4. x-intercept: (5, 0) Linearity: linear y-intercept: (0, 2) Linearity: linear Continuity: continuous Continuity: continuous Positive: for values x co, f(x) -> -co and End Behavior: As x > co, f(x) > -co and as x -0o, f(x) -7 0. as x -0o, f(x) -> co. 5. x-intercept: (-1, 0) and (1, 0) 6. x-intercept: (-3, 0) and (2, 0) y-intercept: (0, 1) y-intercept: (0, -4) Linearity: nonlinear Linearity: nonlinear Continuity: continuous Continuity: continuous Symmetry: symmetric about the line x = 0 Positive: for values x 2 Positive: for values -1 1 Increasing: for all values of x > 0 Increasing: for all values of x 0 Extrema: minimum at (0, -4) Extrema: maximum at (0, 1) End Behavior: As x > co, f(x) -> . and End Behavior: As x -> co, f(x) > -co and as x > -0o, f (x) -> co. as x -> -0o, f (x) > -00. 7. x-intercept: (1, 0) 8. x-intercept: (-2, 0) and (2, 0) y-intercept: (0, -1) y-intercept: (0, -1) Linearity: linear Linearity: nonlinear Continuity: continuous Continuity: continuous Symmetry: symmetric about the line x = 0 Positive: for values x > 1 Positive: for values x 2 Increasing: for all values of x Negative: for values of -2 -oo, f(x) -> -oo and Increasing: for all values of x > 0 as x 7 0o, f(x) - 00. Decreasing: for all values of x -co, f(x) -> co and as x -> co, f(x) - 00. Reved