College Algebra Spring 2012 Semester Final ReviewNAME:

  1. Write an equation for the line in slope-intercept for that passes through and is perpendicular to the line
  1. If a linear line passes though the points (2, -2) and (0,8), then its equation is…
  1. Write an equation of a line parallel to the line and has a y-intercept of 7
  1. Solve and graph solution on a number line. Write answer in interval notation
  1. Solve and graph solution on a number line. Write answer in interval notation
  1. Solve.
  1. Solve.
  1. Solve.
  1. Solve.
  1. For the function f, find:
  1. Domain
  1. Range
  1. x-intercepts
  1. y-intercept
  1. State the value of
  1. If , then find
  1. If , then find
  1. Given that and , find ……

A. B.

  1. Find the domain of . (Write answer in interval notation.]
  1. Find the domain of :A. B.

(interval notation]

  1. Solve. Graph on a number line and write answer in interval notation.
  2. B. C.

GRAPH.

  1. 18.

Domain:Domain:

Range:Range:

Vertex:

x-intercept(s)x-intercept(s)

y-intercepty-intercept

19.20.

Domain:Domain:

Range:Range:

Vertex:Vertex:

x-intercept(s)x-intercept(s)

y-intercepty-intercept

axis of Symmetry:axis of symmetry:

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  1. Given: Graph without a graphing calculator
  1. What is the leading term?
  1. Describe the end behavior of the graph.
  1. Find the y-intercept
  1. Find the x-intercepts and state their multiplicity.
  1. Solve. Graph on a number line. Give answers in interval line.

A. B.

  1. Use the Rational Zero Theorem(make a list) , the given graph and synthetic division to find all zeros of the polynomial function: Graph without a graphing calculator
  1. Use the Rational Zero Theorem(make a list) , the given graph and synthetic division to find all zeros of the polynomial function: Graph without a graphing calculator
  1. Find and label the intercepts and asymptotes, and then graph the rational function. Show ALL work!

Vertical asymptotex-intercept(s)

Horizontal asymptotey-intercept

  1. Find and label the intercepts and asymptotes, and then graph the rational function. Show ALL work!

Vertical asymptotex-intercept(s)

Horizontal asymptotey-intercept

  1. Given that , find the inverse of f.
  1. Graph the function and any asymptotes. State the domain, range and equation of asymptote.

A. B.

  1. Solve for x: . Round to 3 decimal places.
  1. Solve for x.
  1. Solve for x.
  1. Find the center and radius:
  1. Solve the system of equations.

A. B. C.

Graph the following. Find the coordinates of the foci and equation of the asymptotes, if any.

  1. 35.
  1. 37.

Find the standard form of the equation of the following graphs.

  1. 39.

40. 41.

Spring 2012 College Algebra Semester Final Review