Algebra Know-It-ALL

(Marvins-Underground-K-12) #1

560 Final Exam



  1. In Fig. FE-5, a scheme is shown for graphing the inverse of a relation. For any point
    that’s part of the graph of the original relation, we can find its counterpart in the
    graph of the inverse relation by going to the opposite side of the “point reflector,”
    exactly the same distance away. What is the equation of this “point reflector” line?
    (a)y= 1
    (b)x+y= 0
    (c)x−y= 0
    (d)x= 1
    (e) None of the above

  2. In Fig. FE-5, one of the points is labeled P. In which quadrant is this point?
    (a) The first quadrant.
    (b) The second quadrant.
    (c) The third quadrant.
    (d) The fourth quadrant.
    (e) It is not in any quadrant.

  3. Under what circumstances can we add the same variable to both sides of an equation
    and get another valid equation?
    (a) Never.
    (b) Only if the variable can never become equal to 0.


–6 –2–4 246

2

4

6

–2

–4

–6

x

y

“Point
reflector”
line

Original

Inverse

Original

Inverse

Original

Inverse

Original

Inverse

P

Figure FE-5 Illustration for Final Exam Questions 58
and 59.
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