Question

Describe and correct the error a student made in writing the exponential function
Select the correct answer below and, if necessary, fill in the answer box to complete your choice.
(Use integers or fractions for any numbers in the expression)
O A The student made an error by multiplying incorrectly. The final answer should be (6) =
OB. The student made an error by applying the exponent to the product of a and b instead of just b. The final answer should be f(x) =
OC. The student made an error by interchanging the exponent and the base. The final answer should be ) =
OD. The student made an error with substitution. The starting value should be substituted for b and the constant ratio for a. The final answer should be f(x)=

Answer 1

The true statement is (a) the student made an error by multiplying incorrectly. The final answer should be $f(x) = 6(\frac13)^x$

The student steps' are given as:

• Starting value: a = 6
• Constant ratio: r = 1/3
• $f(x) = 6(\frac13)^x$
• $f(x) = 2^x$

What is an exponential function?

An exponential function is a function that is represented as:

$f(x) = a(b)^x$

Where:

• a represents the initial value
• b represents the rate

From the student steps, we have:

$f(x) = 6(\frac13)^x$

The above means that:

The student did not make any error in substituting the values

However, the student made a mistake in multiplying 6 and (1/3)^x

So, the correct function that represents the given parameters is $f(x) = 6(\frac13)^x$

Read more about exponential functions at:

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