Part 3 | Test 6 | Time: 1 hour |
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- 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 .

- For which values of x is
- 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 parabolapasses 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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