Question

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

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:

brainly.com/question/11464095