What is the domain and range of the function y = xn if n is an odd whole number? if n is an even whole number?
A. If n is odd, domain is (−∞,∞) and range is [0, ∞); if n is even, domain and range are both (−∞,∞).
B. If n is odd, domain and range are both (−∞, ∞); if n is even, domain is (−∞, ∞) and range is [0, ∞).
C. In both cases, domain is (−∞, ∞) and range is [0, ∞).
D. Domain and range in both cases is (−∞ , ∞ ).
Answers
Domain and range are the possible x and y values, a function can take.
For the given functions:
If n is odd, domain and range are both (−∞, ∞)If n is even, domain is (−∞, ∞) and range is [0, ∞)Given that:
[tex]y = x^n[/tex]
When n is even.
Assume that [tex]n=2[/tex]
The equation becomes:
[tex]y =x^2[/tex]
See attachment for the graph of [tex]y =x^2[/tex].
From the graph, we can see that values of x extend to both sides of the x-axis.
So, the domain is: [tex](-\infty, \infty)[/tex]
However, the value of y starts from 0 and the curve opens upward. This means that y only take positive values.
So, the range is: [tex][0, \infty)[/tex]
When n is odd.
Assume that [tex]n =3[/tex]
The equation becomes: [tex]y = x^3[/tex]
See attachment for the graph of [tex]y = x^3[/tex].
From the graph, we can see that values of x and y extend to both sides of the x-axis and y-axis, respectively.
So, the domain is: [tex](-\infty, \infty)[/tex]
The range is: [tex](-\infty, \infty)[/tex]
Hence, option (B) is correct.
Read more about domain and range at:
https://brainly.com/question/1632425
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B) Which property of equality allows you to isolate R and I?
C) If V = 110 volts and R = 2200 ohms, what is the value of I?
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Answer:
r= 18om
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Step-by-step explanation:
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Answers
To find the x-intercepts: set y=0 and solve for x.
To find the y-intercepts: set x=0 and solve for y.
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Step-by-step explanation:
if x=0
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Answers
Answer:
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Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
k=-1
Step-by-step explanation:
First step: Distribute
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Second step: Combine like terms
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Fourth step: Subtract 3k from both sides
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Side note:
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Answer:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
Objects having reflectional symmetry (or approximate reflectional symmetry) are-
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b.
d.
e.
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The reflection does not change the shape and size of the geometry. But flipped the image.
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Answer:
Hi, there!
23
Step-by-step explanation:
The value of (23) is equal to twenty three.
23
I hope it's helps you
Step by step explanation
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Answer:
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Answer:
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Step-by-step explanation:
Answer:
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6.
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Hi there!
First, we must change 5.342 km to meters by multiplying it by 1000:
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Step-by-step explanation:
because they both give the same value
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Answers
Answer:
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I hope I helped you^_^
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Answers
__ __ __ __
You have a choice of 4 letters for the first spot.
Once that’s filled, you had a choice of 3 reminding letters for the second spot,.
Now you have a choice of 2 letters for the third spot.
Once the first three spots are filled, you’re left with only one choice for the last spot.
This means you have 4x3x2x1 possible ways to arrange those letters.
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Answers
(4k-9)(2k-2)
First you're going to want to multiply the 4k by the 2k & the -2. Then you're going to want to multiply the -9 by the 2k and the -2.
(4k-9)(2k-2)
4k * 2k = 8k^2
4k * -2 = -8k
-9 * 2k = -18k
-9 * -2 = +18
Since we have like terms (-8k and -18k) put those together.
-8k + -18k = -26k.
Now you're going to want to put all of these together in an equation.
You want to order the numbers from the highest number of exponents (8k^2) to the lowest.
8k^2 - 26k + 18
So the correct answer is 8k^2 - 26k + 18.
abc is a triangle in which ab=5cm, ca=13cm and bc=12 cm. calculate sina, cosc, tana, cotc, seea and cosec
Answers
CosC=12/13
TanA=12/5
CotC=1/5/12
SecA=1/5/13
CosecC=1/5/13
