Practice with Exponential Equations and Graphs Topic Index | Algebra Index | Regents Exam Prep Center

Investigate these equations for exponential growth and decay.
(You may want to use your graphing calculator for checking.)

 1. Given ,  evaluate y when x = 3. Choose: 3 9 27

 2. Given ,  evaluate y when x = -2. Choose: -9 -1/9   1/9

 3. Would the graph of show exponential growth or exponential decay? Choose: growth decay

 4. Would the graph of show exponential growth or exponential decay? Choose: growth decay

 5. The equation will be an exponential function when a equals ______. Choose: -1   0  1   2

 6. Which ordered pair represents the y-intercept for the function ? Choose: (0,0)  (0,1) (0,2)

 7. The graph of lies in which Quadrants? Choose: I, II I, III I, IV

 8. The graph of contains which of these points? Choose: (0,0) (0,1) (0,2)

9.

Which graph below depicts ?

Choose:

a
b
c
d
 a b c d

 10. A piece of paper is folded in half so that there are two thicknesses (or layers) of paper.  These new layers are folded in half again to form 4 layers.  If this folding continues, which equation will best represent the number of layers of paper (y), in terms of the number of folds (x), where x is a whole number? Choose:

 11. An important characteristic of exponential decay is the time required for the decaying quantity to fall to one half of its initial value.  This time is called the half-life.  A radioactive substance decays exponentially with a half-life of 500 years.  After 1,500 years, what percent of the radioactive material remains? Choose: 30% 15% 12.5%

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