Graphing Radical Functions Answers
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1
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Which of the following is the graph of ?
A
On a coordinate plane, an absolute value curve opens down and to the right in quadrant 1 and starts at (0, 0).
B
On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at (0, 0).
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).
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).
2
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What is the domain of the function ?
A
Negative infinity less-than x less-than infinity
B
0 less-than x less-than infinity
C
0 less-than-or-equal-to x less-than infinity
D
1 less-than-or-equal-to x less-than infinity
3
Which graph represents ?
A
On a coordinate plane, a parabola with a vertex at (0, 0) opens up.
B
On a coordinate plane, a curve that begins at (0, 0) opens down and to the right in quadrant 1.
C
On a coordinate plane, a cubic function is vertical and goes through (0, 0).
D
On a coordinate plane, a cubic function is horizontal and goes through (0, 0).
4
Which function has the same domain as ?
A
y = StartRoot 2 x EndRoot
B
y = 2 RootIndex 3 StartRoot x EndRoot
C
y = StartRoot x minus 2 EndRoot
D
y = RootIndex 3 StartRoot x minus 2 EndRoot
5
Which function has the same range as ?
A
g (x) = StartRoot x minus 3 EndRoot minus 8
B
g (x) = StartRoot x minus 3 EndRoot + 8
C
g (x) = negative StartRoot x + 3 EndRoot + 8
D
g (x) = negative StartRoot x minus 3 EndRoot minus 8
6
Which of the following describes the graph of compared to the parent square root function?
A
stretched by a factor of 2, reflected over the x-axis, and translated 9 units rightB
stretched by a factor of 2, reflected over the x-axis, and translated 9 units leftC
stretched by a factor of 2, reflected over the y-axis, and translated 9 units rightD
stretched by a factor of 2, reflected over the y-axis, and translated 9 units left7
How does the graph of compare to the graph of the parent square root function?
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 graph represents ?
A
On a coordinate plane, a cubic function has a point of inflection at x = 0 and crosses the x-axis at x = 5.
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.
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.
D
On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5.
9
Which statement best describes ?
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).10
What is the domain of the function ?
A
Negative infinity less-than x less-than infinity
B
0 less-than-or-equal-to x less-than infinity
C
3 less-than-or-equal-to x less-than infinity
D
6 less-than-or-equal-to x less-than infinity
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