Unit Test — Unit test Answers
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Which statement best describes how to determine whether f(x) = x4 – x3 is an even function?
A
Determine whether (–x)4 – (–x)3 is equivalent to x4 – x3.B
Determine whether (–x4) – (–x3) is equivalent to x4 + x3.C
Determine whether (–x)4 – (–x)3 is equivalent to –(x4 – x3).D
Determine whether (–x4) – (–x3) is equivalent to –(x4 + x3).23
Which phrase best describes f(x), graphed on the coordinate plane below?
A
f(x) is an odd function.B
f(x) is an even function.C
f(x) is both odd and even.D
f(x) is neither odd nor even.
25
Which graph represents an even function?
A
On a coordinate plane, a hyperbola has a curve in quadrant 1 and a curve in quadrant 3. The curve in quadrant 1 has a vertex at (2, 2) and goes through points (1, 5) and (5, 1). The curve in quadrant 3 has a vertex at (negative 2, negative 2) and goes through points (negative 5, negative 1) and (negative 1, negative 5).
B
On a coordinate plane, a function has two curves. The first curve is asymptotic to x = negative 3, goes through (negative 2, 0), has a minimum of (negative 1.5, negative 1), goes through (negative 1, 0), and connects with the second curve at (0.5, 3). The second curve starts at (0.5, 3), goes through (2, 0), has a minimum of (2.5, negative 1), goes through (3, 0), and is asymptotic to x = 4.
C
On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (0, 4), and goes through (2, 0).
D
On a coordinate plane, a straight line has a negative slope. It goes through (negative 2, 4), crosses the y-axis at (0, 2), and crosses the x-axis at (2, 0).
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