question 19 (1 point) a periodic function f(x) has a maximum value of 14 and a minimum value of 2. what is…

question 19 (1 point) a periodic function f(x) has a maximum value of 14 and a minimum value of 2. what is the amplitude of the function? 12 2 6 14 question 20 (1 point) a periodic function has a period of 2.5 minutes. how many cycles of the function occur in 10 minutes? 2 3 5 4

question 19 (1 point) a periodic function f(x) has a maximum value of 14 and a minimum value of 2. what is the amplitude of the function? 12 2 6 14 question 20 (1 point) a periodic function has a period of 2.5 minutes. how many cycles of the function occur in 10 minutes? 2 3 5 4

Answer

Explanation:

Step1: Recall amplitude formula

The formula for the amplitude $A$ of a periodic - function given the maximum value $M$ and minimum value $m$ is $A=\frac{M - m}{2}$.

Step2: Substitute values

Given $M = 14$ and $m = 2$, we substitute into the formula: $A=\frac{14 - 2}{2}=\frac{12}{2}=6$.

Answer:

C. 6

Explanation:

Step1: Recall the relationship between period and number of cycles

The number of cycles $n$ of a periodic function in a time - interval $T$ is given by the formula $n=\frac{T}{P}$, where $P$ is the period of the function.

Step2: Substitute values

Given $T = 10$ minutes and $P = 2.5$ minutes, we substitute into the formula: $n=\frac{10}{2.5}=4$.

Answer:

D. 4