Absolute Values and Reciprocals Exam Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____1.Evaluate the expression .
A / –7.3 / C / –2.7B / 7.3 / D / 10.6
____2.What are the domain and range of ?
A / / C /B / / D /
____3.What are the domain and range of ?
A / / C /B / / D /
____4.The graph of is
A / / C /B / / D /
____5.Solve .
A / / C /B / or / D / or
____6.Determine the solution to .
A / x = or x = / C / x = or x =B / no solution / D / x =
____7.Determine the solution to
A / x = or x = / C / no solutionB / x = or x = / D / x =
____8.What is the solution to ?
A / x = or x = / C / x =B / x = or x = / D / x =
____9.Solve .
A / x = / C / x = , x = B / x = / D / x = , x =
____10.Solve .
A / x = –2 and –2 / C / x = 2 and –2B / x = –2 and –4 / D / x = 2 and –2
____11.Which graph represents the reciprocal of the linear function ?
A / / C /B / / D /
____12.Which graph represents the reciprocal of ?
A / / C /B / / D /
____13.The equation of the vertical asymptote for the reciprocal of y = x – 4 is
A / x = / C / x =B / x = / D / x =
Completion
Complete each statement.
1.When solving the absolute value equation , the two cases to be considered are ______and ______.
2.The invariant points for the function are______and ______.
Short Answer
1.Given the graph of :
a)sketch the graph of
b)state the domain and range
c) express as a piecewise function.
2.a) Sketch the graph of .
b) State the domain and range of the function.
c) Express as a piecewise function.
3.Solve the absolute value equation graphically.