What is the domain of the quadratic function given by f(x) = 2x2 + 2x - 4?
1 answer:
B. All real numbers :)
The only conern here is that you are able to square x. Since the square of any real number gives a real number answer, then that is the domain.
If the function was
, then the domain woudl be all POSITIVE real numbers since you cannot take the square root of a negative number. Try it on your calculator! you will get an error! Domain simply means all possible values for x that actually give real number answers.
(the opposite of a real number is an imaginary number, like 'i' = [tex]\sqrt{-1}[tex]. You can see that you cannot sqrt a negative number, yet, in quantum mechanics 'i' is used all the time because it makes things work in calculations.
The only conern here is that you are able to square x. Since the square of any real number gives a real number answer, then that is the domain.
If the function was
(the opposite of a real number is an imaginary number, like 'i' = [tex]\sqrt{-1}[tex]. You can see that you cannot sqrt a negative number, yet, in quantum mechanics 'i' is used all the time because it makes things work in calculations.
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Answer:
Option (1) is the correct option.
Step-by-step explanation:
From the given frequency table,
Option (1).
Tossing an even number is more likely than tossing an odd number.
Frequencies of tossing even numbers 2, 4, 6 = 10, 10, 9
Frequencies of tossing odd numbers 1, 3, 5 = 8, 6, 7
Which shows frequencies of tossing even numbers are more.
Therefore, Option (1) is correct.
Option (2)
The number 2 will be the next number tossed.
Since it is unpredictable, therefore, this option is incorrect.
Option (3)
Number 4 is half as likely to be tossed as the number 3.
Frequency of tossing number 3 = 6
Frequency of tossing 4 = 10
Frequency of tossing 3 is not the half of tossing 4.
Therefore, Option (3) is incorrect.
Option (4)
Probability of tossing the number 2 =
=
=
=
Therefore, option (4) is incorrect.
Since OC is perpendicular to AB, the line AB gets split evenly. So
So AB=2*6.7=13.4
Ans: Option B, 13.4 units