Question

11. For parts (a-c) consider the polynomial function(x) = -2x²(x - 4)'(x - 1)*(x + 2). [10 Points) (a) What is the degree of the polynomial function? (b) List the zeros of the function in the table provided below and state the multiplicity of each zero. Describe the behavior of the graph at each of the zeros. Does the graph Touch/Cross at each zero? Zero Multiplicity Touch/Cross of 2 -6 -4 -2 -21 (c) Provide a rough sketch of the graph of this function on the axes provided above. Label the intercepts and make sure that your graph exhibits the correct behavior at each of the x-intercepts as well as the correct end behavior. 12. Use the graph of the given function f(x) to answer parts (a-f) below: [8 Points] (a) Find f(5): (b) Is f(1) positive or negative? y4 (5.3) (-42) (c) How often does the line y = 1 intersect the graph? (-2, 1)2 (6.0) (4.0) 2 6 x (0,0) -2 (d) For what value(s) of x doesf(x) = -2? (2,-2) (e) What is the domain off (x)? (f) What is the range of f(x)?

Answer 1

8 2 Et 2 3 4 S 6 7 70 f 8 -

(12) a) 4 f(3) = 23 (-4,2) (513) (-4)2 y = 1 1 U 16) -4 2 flu) is negative (2,-2) y =) interior intero intersects 3 times the graph f(x) = -2 at X = 2 6 [-4, 6] Domain - ce) (4) Range (-23]