Algebra 1

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)? A B C D

B

The graph of h(x) is a translation of f(x) = 3√x. Which equation represents h(x)? A h(x)=3√x-2 B h(x)=3√x+2 C h(x)=3√x -2 D h(x)=3√x +2

B h(x)=3√x+2

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? A s > 0 B s ≥ 4 C s ≥ 8 D s ≥ 16

B s ≥ 4

Which table represents points on the graph of h(x)=3√-x+2? A B C D

C

What is the vertex of the graph of f(x)=| x+3 | +7? A (3, 7) B (7, 3) C (-3, 7) D (7, -3)

C (-3, 7)

The graph shows the function f(x). Which equation represents f(x)? A f(x)=-3√x B f(x)=-3√x-1 C f(x)=3√-x -1 D f(x)=3√-x

C f(x)=3√-x -1

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

C {x | x is a real number}

The graph of f(x)=3√x+8 is shown. Which statement is true? 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

D The function is always increasing

The graph of f(x)=3√x+8 is shown. Which statement is true? 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

D The function is always increasing

Which cube root function is always decreasing as x increases? A f(x)=3√x-8 B f(x)=3√x -5 C f(x)=3√-(5-x) D f(x)=-3√x +5

D f(x)=-3√x +5

On the coordinate grid, the graph of y=3√-x-1 is shown. It is a reflection and translation of y=3√x. What is the range of the graphed function? A {x |-2 < x < 2} B {y |-2 < y < 2} C {x | x is a real number} D {y | y is a real number}

D {y | y is a real number}