# Precal Quiz

**Math Assignmentsâ€”Showing Your Work**

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For some assignments,Â **it is extremely important to show your work**. The instructor cannot tell if you understand the concepts nor give you effective feedback if you do not show the steps. For more complex problems, there may be intermediate computational steps before the final answer.

To show your work, you may type, write, or draw your answers in the assignment file and attach your file to the View/Complete Assignment link. The following are some options to show your work:

1.Â Â Â Â Â Â Â Open the questions in a paint or drawing program, and type, write, or draw answers. Save as a Graphic Interchange Format (.gif) file.Â Most computers with Microsoft software have the PaintÂ® program, which is easy to use and allows you to type your answers, write equations, and draw graphs and charts. To find PaintÂ®, click on theÂ **Start**Â button in Microsoft Windows, click onÂ **Programs,**Â and then click onÂ **Accessories.**Â If you do not have this program, you probably have something very similar. You will save your completed assignment as a .gif file.

2.Â Â Â Â Â Â Â Open the questions in WordÂ® and type or draw answers. Save as a .doc file.

3.Â Â Â Â Â Â Â Open the questions in another word processing program and type or draw answers. Save as a Rich Text Format (.rtf) file.

4.Â Â Â Â Â Â Â Print the questions and write or draw your answers. Scan the document or take a digital photo of it and save as a .gif file, which keeps the file size small. If your document is a color photo, and not text or a simple graph, save the file as a .jpg document to retain the rich color; the file size will be larger.

We suggest you create a folder for this course to hold your assignment files. The instructor will review your work, make notes in it, and send it back to you by reattaching it in the View/Complete Assignment form, which you may view from the Gradebook. To view a demonstration using PaintÂ®,Â __click here.__

**Lesson 5—Quiz 1 Assignment (32 points)** 1. Given the points –2 and 3 on the coordinate line: a. Find the distance between them. (1 pt.) b. Find the midpoint of the line segment which connects them. (1 pt.) 2. Use interval notation to describe all values for *x *that satisfy -1 ≤ 2*x *+ 3 < 3. (3 pts.) 3. Use interval notation to describe all values for *x *that satisfy

*x *−1

*x* ≤ 2. (3 pts.) 4. Find the distance between the points (–1, – 12 ) and (1, 32 ) in the coordinate plane. (1 pt.) 5. Sketch the following region of the *xy*-plane: {(*x*, *y*): *x*2 + *y*2 ≤ 4 and *y *< 1}. (1 pt.) 6. Find the equation of the circle that is shown below. (1 pt.) 7. Find the center and radius of the circle with equation *x*2 + *y*2 – 4*y *= 0. Sketch this circle in the *xy*-plane. (3 pts.) 8. Find the equation of the circle that has its center at (1, 2) and that passes through the origin. (2 pts.) 9. Consider the graph of the equation *y *= 2*x*3. a. What type of symmetry, if any, does this graph have? (1 pt.) b. What are the *x*– and *y*–intercepts of the graph? (1 pt.) 10. Find the area of a square given that the length of each of its sides is 14 the value of its area. (3 pts.) 11. Find a simplified form for the difference quotient of the function *f*(*x*) = 2*x*2 – 3. (2 pts.) 12. What are the domain and range of the function whose graph is shown below? (2 pts.) 13. Find the domain of the function *g*(*x*) =

*x *2 + *x* 1 . (3 pts.) 14. Two people begin walking from the same point. One heads due north at 2 miles per hour, and the other heads due east at 3 miles per hour. Find a function *d*(*t*) that represents the distance between the two people as a function of the time (*t *hours) after they begin to walk. (3 pts.) 15. Determine if the function *h*(*x*) =

4 1

2 + −

*x*

*x x* is even, odd, or neither. (1 pt.)