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
calculate the median of 2,7,10,8,9,10,15
please do it step by step
Answer: 9
Concept:
The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half.
In other words, the median of a set of data is the middlemost number or center value in the set.
Solve:
STEP ONE: Line up the terms in the set from least to most
Given = 2, 7, 10, 8, 9, 10, 15
Line up = 2, 7, 8, 9, 10, 10, 15
STEP TWO: Find the middlemost number
Given = 2, 7, 8, 9, 10, 10, 15
Since it is an odd set, therefore there should be the equal number of terms in the lower and higher half.
There are in total seven terms, therefore, the 4th term would be the middlemost, which is [tex]\boxed{9}[/tex].
Hope this helps!! :)
Please let me know if you have any questions
HELP ME PLEASE SOMEONE!!
Answer:
number 3
Step-by-step explanation:
number 3 the answer is the third one
Please help me!!!!
What is the midpoint of AB ?
B
Answer:
hope it helps you........
Step-by-step explanation:
The midpoint formula is
[tex] (\frac{x1 + x2}{2} ) \: and \: ( \frac{y1 + y2}{2} )[/tex]
Where (x1,y1) is one pair of the points and (x2,y2) is the other pair of points.
The points are
(-5,-4)
(-3,3) So the midpoint is
[tex]( \frac{( - 5 + ( - 3)}{2} )\: and \:( \frac{ - 4 + 3}{2} )[/tex]
Which gives us
[tex] - 4 \: and \: - 0.5[/tex]
So the midpoint is
(-4,-0.5)
write an equation that contains points (0, 4) and is perpendicular to x-3y=-12
Answer:
y= -3x+4
Step-by-step explanation:
x+12=3y
(x+12)/3 = y
slope =
[tex] \frac{1}{3} [/tex]
the new slope = -3
Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b
4 = -3×(0) + b
b= 4
so y= -3x+4
Find the inverse of the following
F(x)=-3/4x+6
Answer:
[tex] {f}^{ - 1} (x)= - \frac{4}{3} x + 8[/tex]
Step-by-step explanation:
[tex]f(x) = - \frac{3}{4} x + 6[/tex]
[tex]y = - \frac{3}{4} x + 6[/tex]
[tex]x = - \frac{3}{4} y + 6[/tex]
[tex] - \frac{3}{4} y + 6 = x[/tex]
[tex] - 3y + 24 = 4x[/tex]
[tex] - 3y = 4x - 24[/tex]
[tex]\boxed{\green{ {f}^{ - 1} (x)= - \frac{4}{3} x + 8}}[/tex]
What is the fractional equivalent of the repeating decimal 0 2 ?
O A i
O B.
O c.
OD.
1^2 + 2^2 + 3^2 +.... + 28^2 + 29^2 + 30^2 = ......
Find the value
Thank you!
Step-by-step explanation:
The sum of consecutive squares is
[tex]1^2+2^2+\dots+n^2=\frac16n(n+1)(2n+1)[/tex]
Therefore
[tex]1^2+2^2+\dots+30^2=\frac16(30)(31+1)(2\cdot30+1) = 9455[/tex]
the math class has 9 girls and 14 boys. what is the ratio of girls to boys
Answer:
Girls:Boys
9:14
Hope it helps!!
The double of a number plus 12 is equal to its triple minus 5. What is the number? [tex]2x + 12 = 3x - 5[/tex] if I'm not wrong
Hi there!
»»————- ★ ————-««
I believe your answer is:
17
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\2x + 12 = 3x - 5\\--------------\\\rightarrow 2x + 12 - 12 = 3x - 5 - 12\\\\\rightarrow 2x = 3x -17 \\\\\rightarrow2x -3x = 3x-3x - 17\\\\\rightarrow -x = - 17\\\\\rightarrow \frac{-x=-17}{-1} \\\\\rightarrow \boxed{x = 17}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
what is the simplified expression for-
HURRY PLEASE
Answer:
3/2
Step-by-step explanation:
you basically just simplify the exponents first, and then simplify from there.
PLEASE help answer these, thank you so much
I'll mark brainliest for best answers
Step-by-step explanation:
#1
6 × n + 15 = -42
6n + 15 = -42
6n = -42 - 15
6n = -57
n = -57/6
n = -19/3
#2
b + 3/2b + b + 45 + 2b - 5 + 90 = 540
b + 1.5b + b + 45 + 2b - 5 + 90 = 540
5.5b + 130 = 540
5.5b = 540 - 130
5.5b = 410
b = 410/5.5
b = 74.5
Angles are
b = 74.5
1.5(74.5) = 111.75
74.5 + 45 = 119.5
2(74.5) - 5 = 144
All cheeses in Blake's Grocery sell for no less than $3.95 per pound
but less than $4 per pound. List all possible cheese prices at the store
from least to greatest.
Answer:
3.95,3.96,3.97,3.98,3.99 i think lol
Step-by-step explanation:
5. Simplify the expression _49. O245 O 65 06 07
Answer:
i think forth no.
Answer:
7
Step-by-step explanation:
49 is a perfect sqaure root cuz 7x7 = 49
please help it’s a ca!! will mark brainliest
Answer:
the first one: The coordinates of A' are (-2, 3)
and the last one: The coordinates of B' are (-2, 0) and the coordinates of C' are (2, -1).
Step-by-step explanation:
when you rotate a triangle counterclockwise by 90° you swap the numbers of the x and y coordinates.
like how the coordinates of B' were (0, 2) and became (-2,0) once the triangle was rotated.
o Step Word Problem
5. Stacey delivers newspapers. She earns $15 each week plus $2 for each customer on her route. Which
equation can she use to find c, the number of customers she needs to earn exactly $25 each week?
2x+18=25
Please help!!
Answer:
x = -5.5
Step-by-step explanation:
probaly wrong just a guess
Plssssss help me ASAP!!!!!
Answer:
6
Step-by-step explanation:
plug in 8 for all p so 4^2 = 16 / 8 x 3 ---> 2 x 3 = 6
What is the formula to get the volume of a cylinder
Answer:
V = π × r² × h
Step-by-step explanation:
All you need to do is multiply the base times the height and since the base is a circle whose formula is π × r², we get π × r² × h.
Answer: [tex]\bf \boxed{\bf V=\pi r^2 h}[/tex]
Step-by-step explanation:
[tex]\bf V=height \times (radius)^2\times \pi[/tex]
I need the answer to this question
Answer:
y = 3/4x + 19/2
Step-by-step explanation:
m = 3/4. point (-6,5)
Point slope form:
y-5=3/4(x- -6)
y -5 = 3/4x + 18/4. 18/4 = 9/2
Y = 3/4x + 9/2 + 5. 5 times 2 plus 9 over 2 = 19/2
y = 3/4x + 19/2
**Help fast!**
Solve for x: the quantity of x plus 20 over 2 = 3x
Answer:
x = 5
Step-by-step explanation:
(5) + 20/2 = 3(5)
Hope it helps
PLS HELP IM STUCK! WILL MARK BRAINLIEST! :)
Answer:
D
Step-by-step explanation:
We just need to plugin the points to the equation 5x + 2y = 7.
If we plugin x = 8 and y = -33/2 we can easily see that
5x + 2y = 5(8) + 2(-33/2) = 40 -33 = 7
So D is the right answer
Answer:
D[(8,-33/2)]
Step-by-step explanation:
Post In a bit
WILL MARK BRAINLY IF CORRECT
Solve the absolute value equation, |x| − 2 = 5.
A. x = 3 and x = −3
B. x = 7 and x = −7
C. x = −7 and x = 3
D. x = −3 and x = 7
Answer:D
Step-by-step explanation:
Please help me!!
Solve for x and show your steps:
3x-ab=c
Answer:x=(c+ab)/3
Step-by-step explanation:
Add ab to c, then divide both sides by 3.
If AB = 2x + 6, BC = x + 10 and AC = 7x = 11
Find x.
Answer:
AB+BC=AC
2x+6 +x+10=7x
3x+16=7x
16/4=x
X=4
If (a, - 8) is a point on the graph of y=x + 6x, what is a?
First, [tex]y=7x[/tex] and when we plug in the point we get [tex]-8=7a\implies a=-\frac{8}{7}[/tex].
Hope this helps :)
pls, help The temperature of a city changed by −24 degrees Celsius over a 6-week period. The temperature changed by the same amount each week.
Part A: Write an expression to show the average change in the temperature of the city each week. (5 points)
Part B: Simplify the expression and explain, using words, what your answer means. (5 points)
Answer:
Step-by-step explanation:
The change over 6 week period is -24 degrees Celcius.
A. -24/6
B . So in average every week the temperature change is -24/6 = -4 degrees Celcius
x+ y + z=1
3x - y- z=7
2x - 2y - 4z = 52
https://core.ac.uk/download/pdf/48393503.pdf
Teachers divided students into groups of 3. Each group of 3 wrote a report that had 9 pictures in it. The students used 585 pictures altogether. How many students were there in all?
Each group used 9 pictures, first divide total pictures by pictures per group to find total groups:
585 / 9 = 65 total groups.
Each group had 3 students.
Multiply total groups by students per group:
65 x 3 = 195 total students
Answer: 195 students.
PLEASE HELP ASAP 10 points
What is the domain of the following relation:
{(-2, 0), (3, 5), (6, 10), (9, 11)}
Consider these signed numbers and determine whether each product is positive or negative.
(-2/3) (524)
(4 5/9) (4/5)
(-6 3/4) (-7 1/11)
Answer:
1. negative. why: a negative multiplied by a positive will always be negative.
2. positive. why: a positive multiplied by a positive will always be positive.
3. positive. why: a negative multiplied by a negative will always be positive.
Step-by-step explanation:
hope this helps
Spider-Man worked 0.75 hour on math, 0.675 hour on writing, and 0.25 hour each on science and social studies. How many hours did he work in all?
Answer:
1.675
Step-by-step explanation:
Answer:
The answer is spider man work 1.675 hours
Step-by-step explanation:
0.75+0.675+0.25=1.675