Graph of the quadratic function.f(x) = -x2 – 4x + 5

Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each zero. 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) = x4 – 36×2

Determine whether the function is a polynomial function.f(x) = x7 – x2 + x

State the domain of the rational expression. Use interval notation to express your answer. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.

Graph the polynomial function. f(x) = x(x – 1)(x + 2)

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) = 4x – 8, g(x) = 5x + 6Find (fg)(x).

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) = 4x + 7, g(x) = 7x – 9Find (fg)(x).

Find functions f and g so that h(x) = (f ∘ g)(x) and neither f nor g equal h(x). Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper. Make sure to label each function, f(x) and g(x).h(x) = (-5x + 9)2

Find the degree of the polynomial function.f(x) = 16×5 + 7×6 + 3

Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each zero. 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) = x4 – 100×2