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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 2 units?

Evaluate the function at the given value of the independent variable and simplify. 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 – 2x – 7; f(2x – 1)  

Use synthetic division and the Remainder Theorem to find the indicated function value. You will receive no credit if you find the function value any other way. 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 – 9×3 + 3×2 + 4x – 9; f(-3)

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

Find the vertex of the parabola. 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) = -3×2 – 12x + 14

Find the degree of the polynomial function.f(x) = 18×3 + 5×4 + 9

Evaluate the function at the given value of the independent variable and simplify. 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) = 4×2 – 3x – 4; f(3x – 2)  

For the given functions f and g , find the indicated composition. 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) = 4×2 + 6x + 8, g(x) = 6x – 3 (g∘f)(x)

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 – 81×2

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) = 2×2 – 7, g(x) = x – 4Find (f – g)(x).