# Symmetry

Total word count: 243
Pages: 1

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 Which statement best describes how to determine whether f(x) = x3 + 5x + 1 is an even function? Determine whether (-x)3 + 5(-x) + 1 is equivalent to x3 + 5x + 1. If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV, which statement about the graph of f(x) must be true? It includes points in Quadrant II. Which phrase best describes f(x), graphed on the coordinate plane below? f(x) is an odd function. The graph of f(x) consists of 14 points. Six of the points lie in Quadrant I of the coordinate plane. If f(x) is an odd function, what is the greatest number of points that can lie in Quadrant II? one Which statement best describes how to determine whether f(x) = x4 – x3 is an even function? Determine whether (-x)4 – (-x)3 is equivalent to x4 – x3. If f(x) is an even function, which statement about the graph of f(x) must be true? It has line symmetry about the y-axis. Which of the following is an even function? f(x) = 7 Which statement best describes how to determine whether f(x) = 9 – 4×2 is an odd function? Determine whether 9 – 4(-x)2 is equivalent to -(9 – 4×2). The graph of the even function f(x) has five x-intercepts. If (6, 0) is one of the intercepts, which set of points can be the other x-intercepts of the graph of f(x)? (-6, 0), (-2, 0), and (0, 0)

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