Given that the polynomial function has the given zero, find the other zeros algebraically. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.x3 + 3×2 – 6x – 8 ; -4 is a zero

Determine whether the relation is a function. Give the domain and range of the relation.{(11, -2), (-5, -1), (3, -1), (-4, 1), (4, 3)}

For the pair of functions, find the indicated sum, difference, product, or quotient. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.f(x) = 2×2 – 7, g(x) = x – 4Find (f – g)(x).

Determine whether the relation is a function. Give the domain and range of the relation.{(5, -2), (1, -1), (3, -1), (2, 1), (10, 3)}

Find the correct end behavior diagram for the given polynomial function.f(x) = -x8 – 7×3 – 4x + 9

Answer the question.How can the graph of f(x) = -(x – 3)2 + 8 be obtained from the graph of y = x2?

For the pair of functions, find the indicated sum, difference, product, or quotient. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.f(x) = 6x + 7, g(x) = 9x – 5Find (fg)(x).

Find the indicated combined function and its domain in interval notation. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.Find (f/g)(x) and its domain in interval notation when f(x) = and g(x) = x – 4.

Determine whether the function is a polynomial function.f(x) = x7 – x4 + x

Find an equation for the graph described. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.What is the equation of the function that is but reflected over the y axis and shifted down 8 units?