Exponential Functions & Exponential Growth & Decay Functions
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
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| Exponential Function | A function of the form
f(x)=b^x
b>0, b is not 1 & x is a real number
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| Solve for x 2^x=16 | <p>2^x=16</p>
<p>2^4=16</p>
<p>x=4</p>
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| Solve for x 3^x=9 | <p>3^x=9</p>
<p>3^2=9</p>
<p>x=2</p>
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| Solve for x 10000^x=100000 | <p>10000^x=100000</p>
<p>(10^4)^x=10^5</p>
<p>10^4x=10^5</p>
<p>4x=5</p>
<p>x=5/4</p>
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| One type of uranium has a daily radioactive decay of 0.5%. If 10 pounds of uranium is available today, how much will remain after 10 days. Use y=10(2.7)^-0.005t let t be 10 days | <p>y=10(2.7)^-0.005(10)</p>
<p>y=10(2.7)^-0.05</p>
<p>y=10(0.95155)</p>
<p>y~9.55 lbs</p>
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| Exponential Growth | y=C(1+r)^x
where C is the initial amount, x is the time interval, r is the growth rate (often %) and (1+r) is growth factor
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| Find the exponential growth Original amount is $300 Growth rate is 5% Number of years is 8 | <p>y=C(1+r)^x</p>
<p>y=300(1+0.05)^8</p>
<p>y=300(1.48)</p>
<p>y~444</p>
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| Exponential Decay | y=C(1-r)^x
Where C is the initial amount, r is the decay rate (often %), x is the number of time intervals, (1-r) is decay factor
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