1. Asymptote A line that a graph gets closer and closer to, but never crosses or touches

2. x-intercept – the point at which the line intersects the x-axis at (x, 0) y-intercept – the point at which the line intersects the y-axis at (0, y) Intercepts

3. Increasing & Decreasing MOVE LEFT TO RIGHT ! If your finger is going up, the graph is INCREASING If your finger is going down, the graph is DECREASING If your finger doesn’t go up or down…then the graph is CONSTANT

4. Maximum – the highest point of a function Minimum – the lowest point of a function Max/Min

5. Characteristics 1.Domain:__ ( ∞, ∞ ) ____ 2.Range:__ (-4, ∞ ) _______ 3.Intercepts: _x:( 0,0), y: (0,0) ___ 4. Inc or Dec?__ Inc ____ 5. Max or Min?______ 6. Asymptote:_ y = -4 __ An exponential function like this really doesn’t have a max or min. The asymptote is approached but never reached. ∞ is not measureable and the max can’t be identified.

6. Characteristics 1.Domain:________ 2.Range:_________ 3.x-intercept:_______ 4.y-intercept:_______ 5.Inc or Dec?______ 6.Max or Min?______ 7. Asymptote: __________

7. Characteristics 1.Domain:________ 2.Range:_________ 3.x-intercept:_______ 4.y-intercept:_______ 5.Inc or Dec?______ 6.Max or Min?______ 7. Asymptote: __________

8. A taxi company in Atlanta charges $2.75 per ride plus $1.50 for every mile driven. Write the equation for the line, and determine the key features of this function. 1. Equation: _______ Word problem 2. Domain: _______ 3. Range: ________ 4. Intercepts: _____ 5. Max or Min: ____ 6. Inc or Dec: _____ 7. Discrete or Cont:__

9. A pendulum swings to 90% of its height on each swing and starts at a height of 80 cm. The height of the pendulum in centimeters, y, is recorded after x number of swings. Write the equation, and determine the key features of this function. 1. Equation: _______ Word problem 2. Domain: _______ 3. Range: ________ 4. Intercepts: _____ 5. Max or Min: ____ 6. Inc or Dec: _____ 7. Discrete or Cont:__

10. Classwork/Homework 7 Problems