Unit 6 Test REVIEW: Function TheoryName:

Multiple Choice

  1. Which statement best describes the graph of 1.______

a)Bounded below

b)Bounded above

c)Not bounded

d)Bounded

  1. Aremovable discontinuity creates ______in a graph. 2.______

a)A vertical asymptote

b)A horizontal asymptote

c)A hole

d)None of these

  1. The graph of . Describe the translation from the toolkit function. 3.______

a)Vertically stretch by a factor of 4

b)Horizontally shifts 4 to the right

c)Horizontally shrinks by

d)Vertically shifts down 4

  1. Find the domain of
  1. A) Sketch a graph that is one-to-one. B) Sketch a function that is not one-to-one.C) Sketch a graph that is not a function.
  1. State the intervals over which the graph is increasing and decreasing.

  1. Analyze

Domain

______

Range

______

Increasing/Decreasing Intervals

______

Boundedness

______

Symmetry

______

Extrema

______

End Behavior

______

______

Domain______

  1. Describe how f(x) is translated from the from the parent function.

a)

b)

c)

  1. Sketch the graph of the piecewise function
  1. Write the equation of the resulting function in expanded form if horizontally translated threeunits up. The resulting function is thenhorizontally stretched by a factor of four and shifted left 2.
  1. . State any restrictions inherited from f.

______

Restrictions ______

  1. Use the following toolkit functions for questions. Write the letter only to represent each function.
  1. Name the functions which have symmetry over the y-axis.
  1. Name the functions without zero in the domain.
  1. Name the function that are continuous.
  1. BE ABLE TO DO ALL THE APPLICATION PROBLEMS FROM YOUR NOTES!