Part 1 | Test 4 | Time: 1 hour |
---|

- Solve the following equation for x:

**Answer:** - Solve the following inequality for x:

**Answer:**The values of*x*that make this inequality true are included on the intervals . - Given the two points (-1,8) and (3,-4), find the following:
- The distance between the two points.

**Answer:**The distance is . - The midpoint of the two points.

**Answer:**The midpoint is (1,2). - The equation of the line between the two points.

**Answer:**The equation of the line is*y*=-3*x*+5. - The equation of the circle whose diameter is the line between
the two points.

**Answer:**The circle is the locus of the points described by

- The distance between the two points.
- Concerning the following graph of
*f*(*x*),- Approximate the interval(s) where the function is increasing.

**Answer:**The function is increasing approximately on the intervals - Approximate the interval(s) where the function is decreasing.

**Answer:**The function is decreasing approximately on the interval . - Approximate the relative maximum value of the function.
**Answer:**The relative maximum value is about 26. - Approximate the relative minimum value of the function.
**Answer:**The relative minimum value is about -2.

- Approximate the interval(s) where the function is increasing.
- Answer the following questions concerning the graph of f(x) in Problem 4:
- How does the graph of -
*f*(*x*) differ from the graph of f(x)?

**Answer:**The graph of -*f*(*x*) is reflected about the x-axis. - How does the graph of
*f*(*x*)+3 differ from the graph of f(x)?

**Answer:**The graph of*f*(*x*)+3 has a vertical shift of 3. - How does the graph of
*f*(*x*-4)-6 differ from the graph of f(x)?

**Answer:**The graph of*f*(*x*-4)-6 has a vertical shift of -6 and a horizontal shift of 4.

- How does the graph of -
- Given the functions and
, find the following:
- Find (
*f*+*g*)(*x*).

**Answer:** - Find .

**Answer:** - Find .

**Answer:**.

- Find (

If you would like to practice another Part 1 exam, click on Next Exam .

If you would like to practice on exams for Parts 2, 3 or 4, click on Menu . It will take you back to the original menu.

Contact us

Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA

users online during the last hour