Find the first four iterates of the function f(z)=z^2+2+i with the initial value of z0=2+2i
2 answers:
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<h3>Answer: Choice A</h3>
The first line shown in choice A is which means "the first term is -2"
The next line in choice A means "the nth term () is found by multiplying the prior term (
) by 8". Put another way: multiply each term by 8 to get the next term.
first term = -2
second term = 8*(first term) = 8*(-2) = -16
third term = 8*(second term) = 8*(-16) = -128
fourth term = 8*(third term) = 8*(-128) = -1024
and so on.
The Range of a function is the set of all values that that function can take.
Given the sine function f(x)=sinx,
This function is the function which calculates the sine of the values of x.
According to the definition of the sine of an angle x in the unit circle,
,
so the sine of an angle is always larger or equal to -1, and smaller or equal to 1.
This means that the values that the sine function takes are any values between -1 and 1, inclusive.
This determines the Range of the sine function.
So the Range of the sine function is [-1, 1]
Given the sine function f(x)=sinx,
This function is the function which calculates the sine of the values of x.
According to the definition of the sine of an angle x in the unit circle,
so the sine of an angle is always larger or equal to -1, and smaller or equal to 1.
This means that the values that the sine function takes are any values between -1 and 1, inclusive.
This determines the Range of the sine function.
So the Range of the sine function is [-1, 1]
