Question

Describe and correct the error a student made in writing an exponential function

Answer 1

Answer:

we CANNOT DIVIDE 3 with 6.

Step-by-step explanation:

Here,as given in the question:

Starting value = 6

Constant ratio = 1/3

Now, exponential function is obtained by the product of starting value and the constant ratio repeatedly.

⇒ f(x) = (Starting value) x (ratio)... x times

$\implies f(x) = 6 (\frac{1}{3} )^x = 6 (\frac{1}{3} ) (\frac{1}{3} ) (\frac{1}{3} ) .... x$  

Now, we CANNOT DIVIDE 3 with 6 as it is in the power of x.

Hence, $\implies f(x) = 6 (\frac{1}{3} )^x$ and $f(x) \neq 2^x$