Part 1 | Test 6 | Time: 1 hour |
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- Concerning the function .
- Sketch the function.

**Answer:** - On what interval is ?

**Answer:**The function is less or equal than zero on the interval [3,9].

- Sketch the function.
- Find the midpoint between the points (3,7) and (-6,1).

**Answer:**The midpoint is . - Find
*x*so that the distance between the points (6,-1) and (x,9) is 12.

**Answer:**When , or , the distance is 12. - Find the center and radius of the circle defined by the equation

**Answer:**The center of the circle is (3,-1), and the radius is 4. - Given , and , find
.

**Answer:** - Find the domain of the function .

**Answer:**The domain of the function is . - Determine whether the function is
one-to-one. If it is, find its inverse. If not, explain why there is
no inverse.

**Answer:**The function is one-to-one. The inverse of the function*f*(*x*) is the same as*f*(*x*). - Find the slope of the line passing through the points (3,7),
and (-1,2).

**Answer:**The slope of the line is . - Given , find .

**Answer:**. - Is the function odd, even or neither?

**Answer:**The function*f*(*x*) is an even function.

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