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
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