Precalculus I--Part 3--Test 6--With Answers

Precalculus Practice Exam

Part 3 Test 6 Time: 1 hour

Sketch the function . Specify the domain, range, intercept(s), and asymptote(s).

Answer: The domain is the set of all real numbers; the range consists of all numbers y>-3. The graph has its y-intercept at y=-2 and one x-intercept at . The only asymptote is the horizontal asymptote y=-3.
Which is larger, or

Answer: The is larger than .
Solve for x:

Answer: x=4.
Supppose that $9,500 is invested at 6% interest compounded annually. How long will it take for the amount in the account to reach $12,000?

Answer: It will take approximately 4 years.
Let . Find . State the range and domain of and g(x). Sketch both functions on the same coordinate axis.

Answer: . The domain of g(x) are all real numbers x>1. The range of g(x) consists of all real numbers. The domain of is the set of all real numbers. The range of are all real numbers x>1.
Answer the following:
- For which values of x is
  
  Answer: For all x>0.
- For which values of x is
  
  Answer: For x=1 and .
Graph the following system of inequalities:

Answer:
Find all the solutions of the system:

Sketch the graph of both equations.

Answer: and .
Determine the constants P and Q, given that the parabola

passes through the two points (-2,-1) and (-1,-2).

Answer: P=-1 and Q=-4, leading to the parabola
Solve the following inequality for x:

Answer: -9<x<-1, or in interval notation (-9,-1).

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Wed Jul 2 17:21:04 MDT 1997