Unit 7 Test Review - Square Root and Variation

What is the effect of subtracting a constant from a function, such as in @@f(x) = ext{sqrt}(x) - 1@@?

• It shifts the graph vertically.

• It shifts the graph horizontally.

• It reflects the graph across the x-axis.

• It stretches the graph vertically.

What are the vertical and horizontal asymptotes of the function @@y = \frac{3}{x}@@?

• Vertical asymptote: @@x = 0@@; Horizontal asymptote: @@y = 1@@.

• Vertical asymptote: @@x = 1@@; Horizontal asymptote: @@y = 0@@.

• Vertical asymptote: @@x = 0@@; Horizontal asymptote: @@y = 0@@.

• Vertical asymptote: @@x = -1@@; Horizontal asymptote: @@y = 3@@.

What is the effect of adding a constant to a function, such as in @@f(x) = ext{sqrt}(x) + 1@@?

• It shifts the graph vertically.

• It shifts the graph horizontally.

• It reflects the graph across the x-axis.

• It stretches the graph vertically.

• It indicates a vertical asymptote at @@x = 1@@.

• It indicates a horizontal asymptote at @@y = 1@@.

• It indicates a point of discontinuity at @@x = 1@@.

• It indicates a local maximum at @@x = 1@@.

How does the graph of @@y = -\frac{1}{x+9}+1@@ move from the parent function?

• The graph reflects over the x-axis, moves left 9 units, and up 1 unit.

• The graph shifts right 9 units and down 1 unit.

• The graph reflects over the y-axis and moves down 9 units.

• The graph shifts left 9 units and reflects over the y-axis.

What is the significance of the transformations in the function @@f(x) = -3\text{sqrt}(x-2)+1@@?

• The transformations indicate how the graph is altered from the parent function: reflection, stretch, and shifts.

• The function represents a simple linear transformation without any significant changes.

• The transformations only affect the vertical position of the graph.

• The function is a quadratic transformation that does not involve any shifts.

• (-\text{∞}, 4]

• (4, \text{∞})

• (-\text{∞}, 0]

• (0, 4]

What is the general form of an inverse variation function?

• @@y = rac{k}{x}@@

• @@y = kx@@

• @@y = k + x@@

• @@y = k - x@@