Question
6
Fill in the Blank
1 point
This table shows values represented by an exponential function.
1
2
The average rate of change for this function for the interval from x = 1 to x = 3 is
Previous
choose your answer...
choose your answer...
6
24
12
9
Fill in the Blank
1 point
This table shows values represented by an exponential function.
1
2
The average rate of change for this function for the interval from x = 1 to x = 3 is
Previous
choose your answer...
choose your answer...
6
24
12
9
Answers
GPT-4o mini
To calculate the average rate of change of an exponential function over an interval, you can use the formula:
\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]
where \( f(a) \) and \( f(b) \) are the values of the function at points \( a \) and \( b \) respectively.
In your case, you're looking at the interval from \( x = 1 \) to \( x = 3 \). However, you haven't provided the actual function values at \( x = 1 \) and \( x = 3 \).
Assuming you have values for \( f(1) \) and \( f(3) \), you would substitute those values into the formula. For example, if \( f(1) = 6 \) and \( f(3) = 24 \), then:
\[
\text{Average Rate of Change} = \frac{24 - 6}{3 - 1} = \frac{18}{2} = 9
\]
Please provide the function values at \( x = 1 \) and \( x = 3 \) to determine the average rate of change accurately. Based on your multiple-choice options, it looks like "9" might be the average rate of change if the function values are consistent with that calculation.
\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]
where \( f(a) \) and \( f(b) \) are the values of the function at points \( a \) and \( b \) respectively.
In your case, you're looking at the interval from \( x = 1 \) to \( x = 3 \). However, you haven't provided the actual function values at \( x = 1 \) and \( x = 3 \).
Assuming you have values for \( f(1) \) and \( f(3) \), you would substitute those values into the formula. For example, if \( f(1) = 6 \) and \( f(3) = 24 \), then:
\[
\text{Average Rate of Change} = \frac{24 - 6}{3 - 1} = \frac{18}{2} = 9
\]
Please provide the function values at \( x = 1 \) and \( x = 3 \) to determine the average rate of change accurately. Based on your multiple-choice options, it looks like "9" might be the average rate of change if the function values are consistent with that calculation.