Answers26-27 AISD - Algebra 2A-IC HallReflections and Dilations of Absolute Value Functions

The Cube Root Function Answers

0 verified answers
1
Free Preview

The graph of y = is reflected over the y-axis and then translated down 2 units to form f(x). Which is the graph of f(x)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
Free Preview

The graph of g(x) is a translation of y = .

Question illustration
A
g(x) =
Option A
B
g(x) =
Option B
C
g(x) =
Option C
D
g(x) =
Option D
3

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}
4

The graph of is shown.

Question illustration
A
The function is only increasing when x ≥ −8.
B
The function is only increasing when x ≥ 0.
C
The function is always decreasing.
D
The function is always increasing.
5

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
6

Which cube root function is always decreasing as x increases?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
7

The function f(x) = is reflected over the x-axis to create the graph of g(x) = .Which is the graph of g(x)?

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

The graph shows the function g(x) for a restricted domain.

Question illustration
A
g(x) = ; x –4
Option A
B
g(x) = ; x 0
Option B
C
g(x) = ; x –4
Option C
D
g(x) = ; x 0
Option D
9

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
10

Which statements describe the graph of y = ? Select three options.

Question illustration
A
The graph has a domain of all real numbers.
B
The graph has a range of y 1.
Option B
C
As x is increasing, y is decreasing.
D
The graph has a y-intercept at (0, 1).
E
The graph has an x-intercept at (–7, 0).

Did you find these answers helpful?

More from this Course

Quiz
2 verified answers

Reflections and Dilations of Absolute Value Functions

Assignment
9 verified answers

The Square Root Function

Assignment
6 verified answers

Reflections and Dilations of Absolute Value Functions