+0  
 
0
622
1
avatar

is it f(x)=3(5/3) a exponential growth function?

Guest Dec 11, 2015

Best Answer 

 #1
avatar+20549 
+10

is it f(x)=3(5/3)^-x a exponential growth function?


\(\begin{array}{rcll} f(x) &=& 3 \cdot \left( \frac53 \right)^{-x} \\ f(x) &=& 3 \cdot \frac{1} { \left( \frac53 \right)^x } \\ f(x) &=& 3 \cdot \frac{1} { \frac{5^x}{3^x} } \\ f(x) &=& 3 \cdot \frac{3^x} { 5^x } \\ f(x) &=& 3 \cdot \left( \frac35 \right)^x \\ \end{array}\)

 

No it is a decaying function, because: \(\frac35 < 1\)

 

\( y=a\cdot b^x\\ \text{Example: } y = 3 \cdot \left( \frac35 \right)^x \)

when a > 0 and the b is between 0 and 1, the graph will be decreasing (decaying).

 

see: http://www.regentsprep.org/regents/math/algebra/ae7/expdecayl.htm

 

laugh

heureka  Dec 11, 2015
 #1
avatar+20549 
+10
Best Answer

is it f(x)=3(5/3)^-x a exponential growth function?


\(\begin{array}{rcll} f(x) &=& 3 \cdot \left( \frac53 \right)^{-x} \\ f(x) &=& 3 \cdot \frac{1} { \left( \frac53 \right)^x } \\ f(x) &=& 3 \cdot \frac{1} { \frac{5^x}{3^x} } \\ f(x) &=& 3 \cdot \frac{3^x} { 5^x } \\ f(x) &=& 3 \cdot \left( \frac35 \right)^x \\ \end{array}\)

 

No it is a decaying function, because: \(\frac35 < 1\)

 

\( y=a\cdot b^x\\ \text{Example: } y = 3 \cdot \left( \frac35 \right)^x \)

when a > 0 and the b is between 0 and 1, the graph will be decreasing (decaying).

 

see: http://www.regentsprep.org/regents/math/algebra/ae7/expdecayl.htm

 

laugh

heureka  Dec 11, 2015

21 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.