Given f(x) = x and h(x) = f(x) - 3, how does h(x) compare to f(x)?
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<h3>Answer: Only first two are exponential growth function and last three functions are exponential decay functions.</h3>
Step-by-step explanation: We need to describe exponential growth or decay for the given functions.
The standard exponential function equation is
.
Where a is the initial value and b is the growth factor.
Note: If value of b > 1, it would be an exponential growth and if b < 1, it would be an exponential decay.
Let us check them one by one.
=>
=> .
Value of b is 1.008 > 1, therefor it's an exponential growth function.
y=250(1+0.004)^t, also have b>1 therefor it's an exponential growth function.
All other functions has b values less than 1, therefore only first two are exponential growth function and last three functions are exponential decay functions.