Math 3 Unit 3 Worksheet 2 Name: Graphing Polynomial Functions Date: Per: For the functions below, identify each of the listed characteristics. 1. y = (x -2)(x+5)(x-1) 2. f(x) = x2(x+2)(x-7) a) degree & leading coefficient a) degree & leading coefficient b) end behavior b) end behavior c) x-intercepts with multiplicity c) x-intercepts with multiplicity d) y-intercept d) y-intercept e) How many distinct x-intercepts? e) How many distinct x-intercepts? f) How many roots are there? f) How many zeros are there? Sketch graphs of the polynomial functions. Label all x and y intercepts. 3. y = (x-1)(x+ 3)(x -4) 4. f (x) = 2(x+ 4)2(x-2) 5. g(x) =-x2(x - 3) 6. f(x) = -3(x+1)(x+2)(x-4) Math 3 Unit 3 Worksheet 2For #3-4, write the equation for the polynomial graph shown with the lowest possible degree. 3. 4. -1 1 2 C C 1 2 -3 (-1, -12)Determine the degree of the polynomial in factored form. Then demonstrate that you are correct by writing the polynomial in standard form. 22. y = (x+ 3)(x2- 5x - 4) 23. y = x3 (x - 2)2 (x + 1) 24. y = x(x + 3) (x - 1)2 25. Describe in words how you can know the degree without multiplying out to write the polynomial in standard form