Which of the functions have a range of all real numbers? Check all that apply.A. y = sec x
B. y = tan x
C. y = cot x
D. y = csc x
Answers
Answer:
B. y = tan x and C. y = cot x
Step-by-step explanation:
Range:
range is defined as the set of values that any given function y=f(x), can take for which the x values are defined. It is the value that y can take for the values of x.
Given:
From the given options
the range of tanx and cotx are all real numbers
as the period of tanx and cotx are π
where as range of secx is all real numbers except π/2 + n*π i.e.
(-∞ , -1] U [1 , + ∞)
And range of cscx is all real numbers except n*π i.e.
(-∞ , -1] U [1 , + ∞)
So from the given option:
option B and C are correct while A and D are not !
Hello!
The answer is: The correct options are B. Tan(x) and C. Cot(x)
Why?
The range is the output of a function when we evaluate the function with inputs (domain), not all functions have a range of all real numbers, however it's more common to find functions without range or domain restrictions.
Both options B. Tan(x) and C. Cot(x) have a range of all real numbers while the functions Sec(x) and Csc (x) have a restricted range.
Sec(x) and Csc(x):
Domain, all real numbers.
Range, from -1 to 1 or [-1,1]
Tan(x) and Cot(x):
Domain, all real numbers except
Range, all real numbers.
Hence, the correct options are B. Tan(x) and C. Cot(x)
Have a nice day!
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Answers
Answer:
when a star gets big it pops and might make a black hole
Because no light can escape, black holes are invisible. However, space telescopes with special instruments can help find black holes. They can observe the behavior of material and stars that are very close to black holes.
How Big Are Black Holes?
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The largest black holes are called "supermassive." These black holes have masses greater than 1 million suns combined and would fit inside a ball with a diameter about the size of the solar system. Scientific evidence suggests that every large galaxy contains a supermassive black hole at its center. The supermassive black hole at the center of the Milky Way galaxy is called Sagittarius A. It has a mass equal to about 4 million suns and would fit inside a ball with a diameter about the size of the sun.
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If Black Holes Are "Black," How Do Scientists Know They Are There?
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Black holes do not wander around the universe, randomly swallowing worlds. They follow the laws of gravity just like other objects in space. The orbit of a black hole would have to be very close to the solar system to affect Earth, which is not likely.
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Hope I can help you!
Answers
The number halfway between 27 times 38 and 33 times 38 is 1140.
What is equation modelling? What is a mathematical equation and expression?
- Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
- A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
- A mathematical equation is used to equate two expressions.
Given is 27 times 38 and 33 times 38.
Let the number be [x]. Then -
[x] = 1/2 x {(27 x 38) + (33 x 38)}
[x] = 1/2 x {38 x 60}
[x] = 19 x 60
[x] = 1140
Therefore, the number halfway between 27 times 38 and 33 times 38 is 1140.
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#SPJ2
Answers
Answer:
Formula for nth term in Arithmetic sequences is:
where a is the first term, d is the common difference and n is the number of terms.
As per the statement:
The rule for the pattern is add 4.
As the first term in line says the first term i,e 7
common difference(d)= 7
As the Jenna number is 8th in line.
Series we get;
7, 11, .........
We have to find the 8th term.
n = 8, a = 7 and d = 4
Using above formula:
Therefore, 35 number should Jenna say.
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Answers
Answers
876, 000, 000
Now lets write it in expanded form:-
876, 000, 000
800,000,000 + 70,000,000 + 6,000,000 + 0 + 0 + 0 + 0 + 0 + 0 = 876, 000, 000
So, 876 million in expanded form is:-
800,000,000 + 70,000,000 + 6,000,000 + 0 + 0 + 0 + 0 + 0 + 0 =
Hope I helped ya!! xD