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Investigate these equations for
exponential growth and decay.
(You may want to use your
graphing calculator for checking.)
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1. |
Given
 ,
evaluate y when x = 3. |
Choose:
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2. |
Given
,
evaluate y when x = -2.
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3. |
Would
the graph of
show exponential growth or exponential decay?
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Choose:
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4. |
Would
the graph of
show exponential growth or exponential decay?
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Choose:
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5. |
The equation
will be an exponential function
when a equals ______. |
Choose:
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6. |
Which ordered pair
represents the y-intercept for the function
? |
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7. |
The
graph of
lies in which Quadrants? |
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8. |
The graph
of
contains
which of these points? |
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9. |
Which
graph below depicts
 ?
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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?
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Choose:
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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:
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