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) |
Symmetry
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