Assignment pencil red pen highlighter GP notebook graphing
Assignment, pencil red pen, highlighter, GP notebook, graphing calculator Graph each function on the same set of axes. Be sure to identify the inflection point. 10 f(x) = (x + 4)3 – 2 inflection point: (– 4, – 2) 8 6 +1 4 +3 inflection point: (5, 3) +1 +3 2 – 10 – 8 – 6 – 4 – 2 2 – 4 total: y – 6 – 8 – 10 4 6 8 10 x
PG – 77 Asymptote: A line that is a close approximation to a particular curve as the curve goes off to infinity in one direction. The curve becomes very, very close to the asymptote line, but never touches it. vertical asymptote x = – 3 Example: 8 y 6 4 2 horizontal asymptote y = 0 – 8 – 6 – 4 – 2 2 – 4 – 6 – 8 4 6 8 x
Yesterday we grouped the following equations: cubic reciprocal exponential Today we will look at reciprocal functions. Be sure to have a graphing calculator.
Group name: ________ Functions Equation: _____ (parent graph) x=0 x y (0, 0) locator point: _____ 10 -4 -0. 25 -3 -0. 33 Locator point -2 -0. 5 -1 -1 0 ERR 1 1 – 2 2 0. 5 – 4 3 0. 33 – 6 4 0. 25 – 8 y 8 6 (0, 0) 4 2 – 10 – 8 – 6 – 4 – 2 2 – 10 4 6 8 10 x y=0 Link to Geo Sketch
Equation: ____ x -4 -3 y -4. 25 -4. 33 -2 -4. 5 -1 0 1 2 3 4 -5 ERR -3 -3. 5 -3. 67 -3. 75 x=0 10 (h, k) (0, – 4) locator point: _____ y 8 6 4 Locator point (0, -4) 2 – 10 – 8 – 6 – 4 – 2 2 – 4 4 6 8 10 x y = -4 – 6 – 8 – 10 Link to Geo Sketch
(h, k) (3, 0) locator point: _____ Equation: ____ x -2 -1 y -0. 25 0 -0. 33 1 2 3 4 5 6 -0. 5 -1 ERR 1 0. 5 0. 33 10 y x=3 8 Locator point 6 (3, 0) 4 2 – 10 – 8 – 6 – 4 – 2 y=0 2 4 6 8 10 x – 2 – 4 – 6 – 8 – 10 Link to Geo Sketch
Equation: ____ x -4 -3 y 0 ERR Locator point -2 -1 0 1 2 3 4 2 1. 5 1. 33 1. 25 1. 2 1. 166 1. 429 (h, k) x = – 3 locator point: _____ (– 3, 1) 10 y 8 6 (– 3, 1) 4 2 – 10 – 8 – 6 – 4 – 2 y=1 2 4 6 8 10 x – 2 – 4 – 6 – 8 – 10 Link to Geo Sketch
PARENT GRAPH TOOLKIT Name: Reciprocal Parent Equation: Description of Locator: x 8 6 -2 4 -1 -1 3 1 y=0 2 (0, 0) – 4 – 2 (– 1, – 1)– 2 (1, 1) 2 4 – 6 – 8 Properties: horizontal asymptote y=k y -3 intersection of asymptotes (h, k) 0 1 General Equation: 2 vertical asymptote x=h 10 y – 10 Domain: Range: {x| x h} {y| y k} x=0 x
Based on the patterns you have observed, graph the next 4 reciprocal functions on the worksheet WITHOUT using a graphing calculator. 10 y 8 6 4 2 – 10 – 8 – 6 – 4 – 2 2 – 4 – 6 – 8 – 10 4 6 8 10 x
- Slides: 10
