Final answer:
To modify the function rule f(x) = cos(x) so that the amplitude becomes 0.237, multiply the function by the desired amplitude value, which is 0.237.
Step-by-step explanation:
To modify the function rule f(x) = cos(x) so that the amplitude becomes 0.237, we need to multiply the function by the desired amplitude value, which is 0.237.
The modified function rule would be f(x) = 0.237 * cos(x).
By multiplying the original function by 0.237, we reduce the amplitude to the desired value without affecting any other characteristics of the cosine function.