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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).

Graph the polynomial function. f(x) = x(x + 1)(x + 3)

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) = 5×2 + 2, g(x) = x – 2Find (f – g)(x).

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

Determine whether the function is a polynomial function.f(x) = x7 – x4 + 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) = 6x + 7, g(x) = 9x – 5Find (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) Domain: __________   (b) Range: __________ (c) x-intercept(s): __________ (d) y-intercept(s): __________

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.

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)}