Algebra /AN

INSTRUCTIONS
⦁ This quiz is open book and open notes. This means that you may refer to your textbook, notes, and online classroom materials, but you must work independently and may not consult anyone (and confirm this with your submission).
⦁ Show your work in a single PDF or single Word document (written out neatly or typed out except for graphs). Not submitting your math work in a single Word doc or PDF doc is a 10% deduction
⦁ Use the Word doc Answer Sheet to submit your answers. If you do not use the Word doc Answer Sheet, this is an automatic 50% deduction
⦁ Quizzes that are submitted late (20% deduction)

1. (4 pts) Which of these graphs of relations describe y as a function of x?
That is, which are graphs of functions? Answer(s): ____________
(no explanation required.) (There may be more than one graph which represents a function.)

(A)
(B)

2. (10 pts) Consider the points (–5, –6) and (–1, 10).
(a) State the midpoint of the line segment with the given endpoints. (No work required)

(b) If the point you found in (a) is the center of a circle, and the other two points are points on the circle, find the length of the radius of the circle. (That is, find the distance between the center point and a point on the circle.) Find the exact answer and simplify as much as possible. Show work.

3. (12 pts) Consider the following graph of y = f (x).

(no explanations required)

(a) State the x-intercept(s).

(b) State the y-intercept(s).

(d) State the range.

4. (8 pts) Let =

(a) Calculate . (work optional)

(b) State the domain of the function =

5. (7 pts) f is a function that takes a real number x and performs these four steps in the order given:
(1) Multiply by 1.
(2) Add 1.
(3) Take the square root.
(4) Take the reciprocal. (That is, make the quantity the denominator of a fraction with numerator 1.)

(a) Find an expression for f (x). (no explanation required)

(b) State the domain of f. (no explanation required)

6. (6 pts) Given and , which of the following is the domain of the quotient function ? Explain. 6._______
A.
B.
C.
D.

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