(2.) Sketch a possible graph of each function. a) f(x) = -(x-4) (x - 1)(x +...

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(2.) Sketch a possible graph of each function. a) f(x) = -(x-4) (x - 1)(x + 5) b) g(x) = x²(x-6)³ 3. Each member of a family of quadratic functions has zeros at x = -1 and x = 4. a) Write the equation of the family, and then state two functions that belong to the family. b) Determine the equation of the member of the family that through the point (5,9). Graph the function. 4. Write the equation of each function. b) a) 40- 20+ -4/-2 0 -20- -40- (1.8) 2 ynomial Functions in Factored Form 20- 10- -2/91 +10- +20- (1,-12) passes NEW 12. Determine the equation of the polynomial function from each graph. K b) ↑y b) 4- 2- -25 N. 2 (0.-2) 2- 201 2 4 (-3,-1.6)-2- T 13. a) Determine the quadratic function that has zeros at -3 and -5, if f(7) = -720. Determine the cubic function that has zeros at -2, 3, and 4, if f(5) = 28. 14. The function f(x) = kx³8x² - x + 3k + 1 has a zero when x = 2. Determine the value of k. Graph f(x), and determine all the zeros. Then rewrite f(x) in factored form. T (2.) Sketch a possible graph of each function. a) f(x) = -(x-4) (x - 1)(x + 5) b) g(x) = x²(x-6)³ 3. Each member of a family of quadratic functions has zeros at x = -1 and x = 4. a) Write the equation of the family, and then state two functions that belong to the family. b) Determine the equation of the member of the family that through the point (5,9). Graph the function. 4. Write the equation of each function. b) a) 40- 20+ -4/-2 0 -20- -40- (1.8) 2 ynomial Functions in Factored Form 20- 10- -2/91 +10- +20- (1,-12) passes NEW 12. Determine the equation of the polynomial function from each graph. K b) ↑y b) 4- 2- -25 N. 2 (0.-2) 2- 201 2 4 (-3,-1.6)-2- T 13. a) Determine the quadratic function that has zeros at -3 and -5, if f(7) = -720. Determine the cubic function that has zeros at -2, 3, and 4, if f(5) = 28. 14. The function f(x) = kx³8x² - x + 3k + 1 has a zero when x = 2. Determine the value of k. Graph f(x), and determine all the zeros. Then rewrite f(x) in factored form. T

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