AnswersNY-Algebra I Term 1 HillcrestThe Square Root Function

The Cube Root Function Answers

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1
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What is the domain of f(x) = ?

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A
all real numbers
B
positive numbers and zero
C
all integers
D
whole numbers
2
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The graph of g(x) is a reflection and translation of .

Question illustration
A
g (x) = RootIndex 3 StartRoot x + 1 EndRoot
Option A
B
g (x) = RootIndex 3 StartRoot x minus 1 EndRoot
Option B
C
g (x) = Negative RootIndex 3 StartRoot x + 1 EndRoot
Option C
D
g (x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot
Option D
3

Which is the graph of the cube root function f(x) = ?

Question illustration
A
On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2).
Option A
B
On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).
Option B
C
On a coordinate plane, a cube root function goes through (negative 4, negative 2), has an inflection point at (0, 0), and goes thorugh (4, 2).
Option C
D
On a coordinate plane, a cube root function goes through (negative 4, 2), has an inflection point at (0, 0), and goes through (4, negative 2).
Option D
4

On the coordinate grid, the graph of is shown. It is a translation of .

Question illustration
A
{x | 1 < x < 5}
B
{y | 1 < y < 5}
C
{x | x is a real number}
D
{y | y is a real number}
5

The graph shows the function f(x).

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
6

On the coordinate grid, the graph of is shown. It is a reflection and translation of .

Question illustration
A
{x |-2 < x < 2}
B
{y |-2 < y < 2}
C
{x | x is a real number}
D
{y | y is a real number}
7

The graph of h(x) is a translation of .

Question illustration
A
h (x) = RootIndex 3 StartRoot x minus 2 EndRoot
Option A
B
h (x) = RootIndex 3 StartRoot x + 2 EndRoot
Option B
C
h (x) = RootIndex 3 StartRoot x EndRoot minus 2
Option C
D
h (x) = RootIndex 3 StartRoot x EndRoot + 2
Option D
9

Which is the graph of y = ?

Question illustration
A
On a coordinate plane, a cube root function goes through (negative 6, 2), has an inflection point at (2, 0), and goes through (10, negative 2).
Option A
B
On a coordinate plane, a cube root function goes through (negative 8, 0), has an inflection point at (0, negative 2), and goes through (8, negative 4).
Option B
C
On a coordinate plane, a cube root function goes through (negative 8, 0), has an inflection point at (0, 2), and goes through (8, 4).
Option C
D
On a coordinate plane, a cube root function goes through (negative 10, negative 2), has an inflection point at (negative 2, 0), and goes through (6, 2).
Option D

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