AnswersBCHS - Common Core Math III ASolving Polynomial Equations using Technology

Radical Equations and Extraneous Roots Answers

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1
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Which function has the same domain as ?

Question illustration
A
y = StartRoot 2 x EndRoot
Option A
B
y = 2 RootIndex 3 StartRoot x EndRoot
Option B
C
y = StartRoot x minus 2 EndRoot
Option C
D
y = RootIndex 3 StartRoot x minus 2 EndRoot
Option D
2
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What is the domain of the function ?

Question illustration
A
Negative infinity less-than x less-than infinity
Option A
B
Negative 1 less-than x less-than infinity
Option B
C
0 less-than-or-equal-to x less-than infinity
Option C
D
1 less-than-or-equal-to x less-than infinity
Option D
3

What is the domain of the function ?

Question illustration
A
Negative infinity less-than x less-than infinity
Option A
B
0 less-than x less-than infinity
Option B
C
0 less-than-or-equal-to x less-than infinity
Option C
D
1 less-than-or-equal-to x less-than infinity
Option D
4

Which graph represents ?

Question illustration
A
On a coordinate plane, a cubic function has a point of inflection at x = 0 and crosses the x-axis at x = 5.
Option A
B
On a coordinate plane, a cubic function has a point of inflection at x = negative 5 and crosses the x-axis at x = 2.
Option B
C
On a coordinate plane, a cubic function has a point of inflection at y = negative 5 and crosses the x-axis at y = negative 5.
Option C
D
On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5.
Option D
5

What is the range of the function ?

Question illustration
A
y greater-than-or-equal-to negative 5
Option A
B
y greater-than-or-equal-to 0
Option B
C
y greater-than-or-equal-to StartRoot 5 EndRoot
Option C
D
y greater-than-or-equal-to 5
Option D
6

Which statement best describes ?

Question illustration
A
–6 is in the domain of f(x) but not in the range of f(x).
B
–6 is not in the domain of f(x) but is in the range of f(x).
C
–6 is in the domain of f(x) and in the range of f(x).
D
–6 is neither in the domain of f(x) nor in the range of f(x).
7

How does the graph of compare to the graph of the parent square root function?

Question illustration
A
The graph is a horizontal shift of the parent function 2 units right.
B
The graph is a horizontal shift of the parent function 2 units left.
C
The graph is a vertical shift of the parent function 2 units up.
D
The graph is a vertical shift of the parent function 2 units down.
8

Which of the following is the graph of ?

Question illustration
A
On a coordinate plane, an absolute value curve opens down and to the right in quadrant 1 and starts at (0, 0).
Option A
B
On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at (0, 0).
Option B
C
On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4 and starts at (0, 0). It goes through (5, negative 2).
Option C
D
On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4 and starts at (0, 0). It goes through (5, negative 9).
Option D
9

The range of which function includes –4?

A
y = StartRoot x EndRoot minus 5
Option A
B
y = StartRoot x EndRoot + 5
Option B
C
y = StartRoot x + 5 EndRoot
Option C
D
y = StartRoot x minus 5 EndRoot
Option D
10

Which of the following describes the graph of compared to the parent square root function?

Question illustration
A
stretched by a factor of 2, reflected over the x-axis, and translated 9 units right
B
stretched by a factor of 2, reflected over the x-axis, and translated 9 units left
C
stretched by a factor of 2, reflected over the y-axis, and translated 9 units right
D
stretched by a factor of 2, reflected over the y-axis, and translated 9 units left

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