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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 8 units?

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

For the piecewise function, find the specified function value. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.

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

Determine whether the given function is even, odd, or neither.f(x) = x7 – 2x + 1

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

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).

Given the graph of f(x), find the following information. Where applicable, write answer 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. Make sure to label each individual answer. (a) f(4) = __________ (b) Where is f(x) increasing? __________ (c) Where is f(x) decreasing? __________   (d) What is the Relative Maximum? __________

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 – 2.

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) = -4×2 – 40x – 25