Unit Test — Unit test Answers
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What are the x-intercepts of the function f(x) = –x2 – x + 2?
A
(–2, 0) and (1, 0)B
(2, 0) and (1, 0)C
(–2, 0) and (-1, 0)D
(0, -2) and (0, 1)22
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On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-intercept at (0, 15), and an x-intercept at (3, 0).
A
The domain is all real numbers. The range is {y|y < 16}.B
The domain is all real numbers. The range is {y|y ≤ 16}.C
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.D
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.23
The function f(x) = –(x – 3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function of the length of the rectangle, x. What is the maximum area of the rectangle?
A
3 square unitsB
6 square unitsC
9 square unitsD
12 square units24
Which function has a range of {y|y ≤ 5}?
A
f(x) = (x – 4)2 + 5B
f(x) = –(x – 4)2 + 5C
f(x) = (x – 5)2 + 4D
f(x) = –(x – 5)2 + 425
Sanjay begins to correctly graph the function f(x) = (x + 1)2 – 3. Based on the axis of symmetry and the vertex, which graph could be Sanjay’s?
A
On a coordinate plane, a vertical dashed line at (1, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (1, negative 3).
B
On a coordinate plane, a vertical dashed line at (negative 3, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (negative 3, 1).
C
On a coordinate plane, a vertical dashed line at (negative 1, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (negative 1, negative 3).
D
On a coordinate plane, a vertical dashed line at (3, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (3, negative 1).
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