Symmetry

7 September 2022
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9 test answers

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question
Which statement best describes how to determine whether f(x) = x3 + 5x + 1 is an even function?
answer
Determine whether (-x)3 + 5(-x) + 1 is equivalent to x3 + 5x + 1.
question
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?
answer
It includes points in Quadrant II.
question
Which phrase best describes f(x), graphed on the coordinate plane below?
answer
f(x) is an odd function.
question
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?
answer
one
question
Which statement best describes how to determine whether f(x) = x4 - x3 is an even function?
answer
Determine whether (-x)4 - (-x)3 is equivalent to x4 - x3.
question
If f(x) is an even function, which statement about the graph of f(x) must be true?
answer
It has line symmetry about the y-axis.
question
Which of the following is an even function?
answer
f(x) = 7
question
Which statement best describes how to determine whether f(x) = 9 - 4x2 is an odd function?
answer
Determine whether 9 - 4(-x)2 is equivalent to -(9 - 4x2).
question
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)?
answer
(-6, 0), (-2, 0), and (0, 0)