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The Cube Root Function
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The graph of the cube root parent function y = ^3√x is translated to form f(x) shown on the graph. Which equation represents f(x)?
A: f(x) = ^3√x + 6 +1
The graph of g(x) is a reflection and translation of f(x) = = ^3√x. Which equation represents g(x)?
D: g(x) = -^3√x - 1
The function s(V) = ^3√v describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube with a minimum of 64 cubic centimeters. What is a reasonable range for s, the side length, in centimeters, of Jason's cube?
s ≥ 4
The graph of f(x) = ^3√x + 8 is shown. Which statement is true?
NOT The function is only increasing when x ≥ −8.
Which statements describe the graph of y = ^3√x - 1 +2? Check all that apply.
The graph has a domain of all real numbers.
The graph has a y-intercept at (0, 1).
The graph has an x-intercept at (-7, 0).
The graph shows the function f(x).
Which equation represents f(x)?
f(x) = ^3√-x -1
Which is the graph of the cube root function f(x) = ^3√x?
B
The graph of y = ^3√x is reflected over the y-axis and then translated down 2 units to form f(x). Which is the graph of f(x)?
B
On the coordinate grid, the graph of y = ^3√x - 1 +3 is shown. It is a translation of y = ^3√x. What is the domain of the graphed function?
{x| x is a real number}
The graph of h(x) is a translation of f(x) = ^3√x. Which equation represents h(x)?
h(x) = ^3√x + 2
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COLLEGE ALGEBRA
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