Open with Google Docs 4) Describe the intervals where the slope is increasing and decreasing given.[2A,2T] f (x) = - 5 x+ 2 4 3 W -Success... W Start Page G A can is. Assignment Unit 3 1) For each function, do the following:[4K,4T] Determine the asymptotes. If there are none, state "None." Determine the x and y-intercepts. - Determine the behavior near the asymptotes. Sketch the graph. State the domain and range. 1. f()- 1 1 2. f(x ) - 72 + 4x -5 3. f ( x) _+8 4. f (x ) = 3x - 2 + 3 2) Simplify and state the restrictions.[3K, 37] 537 APR7) How do we know if we have a vertical asymptote in a rational function?[8C] How do you find x-intercepts and y-intercepts? How do you check behavior around vertical asymptotes? How do you check end behavior? 8) Graph f(x) = *-x-6 x - 2 using the key features (intercepts, asymptotes and behavior).[2K,2T] 9) Create a rational function with a hole at x =- 5, x-intercept at 2, y-intercept at - - and horizontal asymptote at y = [2K,27] Page 4 4 +5) Use the following key features to graph.[2C,2K] a) the asymptotes b) local maximums or minimums c) intercepts d) behavior e) domain and range f) positive and negative intervals for g(x) g) intervals of increasing and decreasing f ( x) = - 2 x2 - 1 4- -i-.. W N -5 -4 -3 -2 0 1 -1 6) Graph each and state the intercepts, asymptotes, behavior, domain and range, and provide a sketch.[2K,2T]6) Graph each and state the intercepts, asymptotes, behavior, domain and range, and provide a sketch.[2K,2T] 2 f (x) = x2 - 6x +9 1 f (x ) = - (x + 2) ? 7) How do we know jonal function? [8C]3) For each set of functions:[4A,2T,2K] a) Graph and label them. Start by graphing the non-reciprocal function. b) State the domain and range. c) Describe the behavior of the function near the vertical asymptote. d) Describe the end behavior y = i) y = > and ii) y = 2x - and 2x - 1 4 - . .. . .... .-.. 3 2 2 - 5 - 1 . .... N -3 4) Describe the intervals where the slope is increasing and decreasing given.[2A,27]\f\f