Answer:
A function f(x) is said to be periodic, if there exists a positive real number T such that f(x+T) = f(x).
You can also just say: A periodic function is one that repeats itself in regular intervals.
Step-by-step explanation:
The smallest value of T is called the period of the function.
Note: If the value of T is independent of x then f(x) is periodic, and if T is dependent, then f(x) is non-periodic.
For example, here's the graph of sin x. [REFER TO PICTURE BELOW]
Sin x is a periodic function with period 2π because sin(x+2π)=sinx
Other examples of periodic functions are all trigonometric ratios, fractional x (Denoted by {x} which has period 1) and others.
In order to determine the period of the determined graph however, just know that the period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.
Hopefully this helped a bit.
Answer:
1 - F
2 - B
3 - H
4 - A
Step-by-step explanation:
1.
m = -2
b = 4
y < mx + b
y < -2x + 4
F
2.
m = 1
b = -2
y < mx + b
y < 1x -2
y < x - 2
B
3.
m = -4
y <= mx + b
H is the only one that follows those rules
4.
m = 1
y >= mx + b
A is the only one that follows those rules
The cell labelled a is a joint frequency of 48 and the cell labelled b is a marginal frequency of 93.
<h3>What is a frequency table?</h3>
The frequency of an occurrence or a value is the number of times it happens. A frequency table is a list of objects with the frequency of each item shown in the table.
The data is mentioned in the table given below:
We need to find the value of a and b.
Here, Cell Phone+No Cell Phone=Total
To find a:
Add the no lap entries, that is 159+a=207
⇒a=48
To find b:
Add the lap entries, that is 82+11=b.
⇒b=93.
Therefore, the cell labelled a is a joint frequency of 48 and the cell labelled b is a marginal frequency of 93.
To learn more about the frequency table visit:
brainly.com/question/12576014.
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We are supposed to explain why the given function can be expressed in form 
, when 
.
Since the given function is an exponential function we can express it as 
.
Now let us substitute x=0 in the given function,
Let us substitute x=0 in our function.
Upon substituting a=1 in our function we will get,
Therefore, our function f can be represented by the formula of the form .
