Graphing Radical Functions Answers

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1
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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.
2
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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
3

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
4

What is the range of the function ?

Question illustration
A
Negative infinity less-than y less-than infinity
Option A
B
Negative 8 less-than y less-than infinity
Option B
C
0 less-than-or-equal-to y less-than infinity
Option C
D
2 less-than-or-equal-to y less-than infinity
Option D
5

What is the domain of the function ?

Question illustration
A
Negative infinity less-than x less-than infinity
Option A
B
0 less-than-or-equal-to x less-than infinity
Option B
C
3 less-than-or-equal-to x less-than infinity
Option C
D
6 less-than-or-equal-to x less-than infinity
Option D
6

Which function has the same range as ?

Question illustration
A
g (x) = StartRoot x minus 3 EndRoot minus 8
Option A
B
g (x) = StartRoot x minus 3 EndRoot + 8
Option B
C
g (x) = negative StartRoot x + 3 EndRoot + 8
Option C
D
g (x) = negative StartRoot x minus 3 EndRoot minus 8
Option D
7

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

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