Question

1. which of the following would represent a periodic event?

a. a teams baseball schedule
b. the growth pattern of a newly planted tree
c. the height of the tides in new brunswick
d. the direction of the winds during a large rainstorm

1. the interval(s) of increase for the sine function in the interval from (0^{circ}) to (360^{circ}) is (are)

a. ({xinmathbb{r},180^{circ}leq xleq360^{circ}})
c. ({xinmathbb{r},90^{circ}leq xleq270^{circ}})
b. ({xinmathbb{r},0^{circ}leq xleq180^{circ}})
d. ({xinmathbb{r},0^{circ}leq xleq90^{circ},270^{circ}leq xleq360^{circ}})

1. which equation can be used to model the graph of the function shown?

a. (y = sin2x + 3)
c. (y=sin2x - 3)
b. (y = 2sin x+3)
d. (y = 2sin x - 3)
short answer 2 marks each:

1. a periodic function (f(x)) has a maximum value of 14 and a minimum value of 2. what is the amplitude of the function?

amplitude (=\frac{\text{maximum}-\text{minimum}}{2})
amplitude (=\frac{14 - 2}{2}) (a=\frac{12}{2}=) amplitude of the function is: 6

Explanation:

Step1: Recall the formula for amplitude

The formula for the amplitude \(A\) of a periodic function is \(A=\frac{\text{Maximum}-\text{Minimum}}{2}\).

Step2: Substitute the given values

Given that the maximum value is \(14\) and the minimum value is \(2\). Substitute these values into the formula: \(A = \frac{14 - 2}{2}\).

Step3: Calculate the amplitude

First, calculate the numerator: \(14-2 = 12\). Then divide by \(2\): \(\frac{12}{2}=6\).

Answer:

The amplitude of the function is \(6\).