pdf fraction cheat sheet, Cheat Sheet of Mathematics

Download pdf fraction cheat sheet and more Cheat Sheet Mathematics in PDF only on Docsity! Practice: Key Features of Graphs Name ________________________________ Directions: Given the graphs below, find the key features (domain, range, intercepts, increasing/decreasing intervals, maximum/minimum, positive/negative) of each graph. Graph Key Features of Graph 1. Domain: [-3,14] Increasing: (-3,9)ꓴ(11,14) Range: [-5,10] Decreasing: (9,14) x-intercept(s): (4.5,0) Positive: (4.5,14] y-intercept: (0,-3) Negative: [-3,4.5) Maximum: (9,10) Minimum: Rel: (-3,-5) End Behavior: 𝑎𝑠 𝑥 → −3, 𝑦 → −5; 𝑎𝑠 𝑥 → 14, 𝑦 → 10 2. Domain: (-∞, ∞) Increasing: (-2,-0.5) ꓴ (1, ∞) Range: (0, ∞) Decreasing: (-∞,-2) ꓴ (-0.5,1) x-intercept(s): (-2,0) & (1,0) Positive: (-∞,-2) ꓴ (-2,1) ꓴ(1, ∞) y-intercept: (0,4) Negative: none Maximum: Rel: (-0.5,5.063) Minimum: (-2,0) & (1,0) End Behavior: 𝑎𝑠 𝑥 → −∞, 𝑦 → +∞; 𝑎𝑠 𝑥 → +∞, 𝑦 → +∞ 3. Domain: (-∞, ∞) Increasing: (-2,1.333) Range: (-∞, ∞) Decreasing: (-∞,-2) ꓴ (1.333, ∞) x-intercept(s): (-2,0) & (3,0) Positive: (-∞,-2) ꓴ (-2,3) y-intercept: (0,3) Negative: (3, ∞) Maximum: L(1.333,4.63) Minimum: L(-2,0) End Behavior: 𝑎𝑠 𝑥 → −∞, 𝑦 → +∞; 𝑎𝑠 𝑥 → +∞, 𝑦 → −∞ 4. Domain: (-∞, ∞) Increasing: (2, ∞) Range: (1, ∞) Decreasing: (-∞,2) x-intercept(s): none Positive: (-∞, ∞) y-intercept: (0,5) Negative: none Maximum: none (unbounded) Minimum: (2,1) End Behavior: 𝑎𝑠 𝑥 → −∞, 𝑦 → +∞; 𝑎𝑠 𝑥 → +∞, 𝑦 → +∞