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miracle9704
22.10.2019 •
Mathematics
128. identify which functions are exponential. for the functions that are exponential, use the properties of exponents to identify the percent rate of change, and classify the functions as indicating exponential growth or decay.
b.g(x) = 3/4x
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Ответ:
g(x) is an exponential decay function.
Step-by-step explanation:
Given : Function![g(x)=(\frac{3}{4})^x](/tpl/images/0340/2523/90ae1.png)
To find : Identify the exponential function and classify the functions as indicating exponential growth or decay ?
Solution :
An exponential function is a nonlinear function of the form
, where a ≠ 0, b ≠ 1, and b > 0.
1) When a > 0 and b > 1, the function is an exponential growth function.
2) When a > 0 and 0 < b < 1, the function is an exponential decay function.
On comparing with general function,
The given function
is an exponential function.
Where, a=1 and![b=\frac{3}{4}](/tpl/images/0340/2523/c4959.png)
Here,![b=\frac{3}{4}=0.75](/tpl/images/0340/2523/520de.png)
i.e. 0<0.75<1 means function is a decay function.
Ответ:
We have the solution:
Since there are three negative numbers being multiplied the product is always negative...
So we have the final answer as -152
Hope this helps