1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
natulia [17]
3 years ago
7

PLEASE HELP FIND DOMAIN AND RANGEdomain-range-is this relation a function? ​

Mathematics
2 answers:
ycow [4]3 years ago
4 0

Answer:

Domain: (-2, -1, 0, 5).

Range: 3 and 4.

Function: Yes.

Step-by-step explanation:

In order for a relation to be a function, we will have a set of inputs and a set of outputs. Various inputs may have the same output, but one input cannot have various outputs.

In a graph, if the points make a horizontal line, then the relation is still a function. However, if they made a vertical line, the relation would NOT be a function.

sweet-ann [11.9K]3 years ago
4 0
Yes it is a function
You might be interested in
Superman needs to save Lois from the clutches of Lex Luther. After flying for 15 seconds, he is 2100 meters from her. Then at 18
posledela

Part A

x = time in seconds that have gone by

y = distance in meters Superman is away from Lois

"After flying for 15 seconds, he is 2100 meters from her" means we have the point (x,y) = (15, 2100)

"at 18 seconds he is 1980 meters from her" tells us we have a second point (x,y) = (18,1980)

--------

Find the slope of the line through these two points

m = (y2-y1)/(x2-x1)

m = (1980-2100)/(18-15)

m = (-120)/(3)

m = -40

The slope is -40 which means Superman is getting 40 meters closer each second. I.e, the distance is dropping 40 meters per second

--------

Use one of the points and the slope to find the y intercept b

y = mx+b

2100 = (-40)*15 + b

2100 = -600 + b

2100+600 = b

b = 2700

This is the starting distance Superman is away from Lois

--------

Since m = -40 and b = 2700, we know the y = mx+b equation becomes y = -40x+2700.

Replace x with s, replace y with m. We now have m = -40s+2700

---------

<h3>Final Answer:  m = -40s+2700</h3>

============================================

Part B

Plug s = 6 into the equation we found for part A. Then simplify.

m = -40s+2700

m = -40*6+2700

m = -240+2700

m = 2460

---------

<h3>Final Answer: 2460 meters</h3>
7 0
2 years ago
savannah is painting a striped background for a mural on a wall that is 15 yards long. she wants a total of 96 stripes that’s ar
adell [148]
In this item, we are tasked to determine the calculation that can be done in order to determine the length or width of the painted mural in each striped area. This can be done by dividing the total length by the number of stripes as shown in the equation below.

   Length per stripe = Total length / number of stripes
    Length per stripe = 15 yards / 96 stripes
                           = 0.15625 yard/stripe
8 0
3 years ago
Read 2 more answers
Calculus piecewise function. ​
Kipish [7]

Part A

The notation \lim_{x \to 2^{+}}f(x) means that we're approaching x = 2 from the right hand side (aka positive side). This is known as a right hand limit.

So we could start at say x = 2.5 and get closer to 2 by getting to x = 2.4 then to x = 2.3 then 2.2, 2.1, 2.01, 2.001, etc

We don't actually arrive at x = 2 itself. We simply move closer and closer.

Since we're on the positive or right hand side of 2, this means we go with the rule involving x > 2

Therefore f(x) = (x/2) + 1

Plug in x = 2 to find that...

f(x) = (x/2) + 1

f(2) = (2/2) + 1

f(2) = 2

This shows \lim_{x \to 2^{+}}f(x) = 2

Then for the left hand limit \lim_{x \to 2^{-}}f(x), we'll involve x < 2 and we go for the first piece. So,

f(x) = 3-x

f(2) = 3-2

f(2) = 1

Therefore, \lim_{x \to 2^{-}}f(x) = 1

===============================================================

Part B

Because \lim_{x \to 2^{+}}f(x) \ne \lim_{x \to 2^{-}}f(x) this means that the limit \lim_{x \to 2}f(x) does not exist.

If you are a visual learner, check out the graph below of the piecewise function. Notice the gap or disconnect at x = 2. This can be thought of as two roads that are disconnected. There's no way for a car to go from one road to the other. Because of this disconnect, the limit doesn't exist at x = 2.

===============================================================

Part C

You'll follow the same type of steps shown in part A.

However, keep in mind that x = 4 is above x = 2, so we'll deal with x > 2 only.

So you'd only involve the second piece f(x) = (x/2) + 1

You should find that f(4) = 3, and that both left and right hand limits equal this value. The left and right hand limits approach the same y value. The limit does exist here. There are no gaps to worry about when x = 4.

===============================================================

Part D

As mentioned earlier, since \lim_{x \to 4^{+}}f(x) = \lim_{x \to 4^{-}}f(x) = 3, this means the limit \lim_{x \to 4}f(x) does exist and it's equal to 3.

As x gets closer and closer to 4, the y values are approaching 3. This applies to both directions.

4 0
1 year ago
Which of the following is a coterminal angle of 138°? A.) 438° B.)-136° C.) -582° D.) 228°
GaryK [48]

Answer:  I think the correct answer is D.

8 0
3 years ago
Read 2 more answers
F(x) = x + 2<br> g(x) = x - 4<br> (f9)(x) =
san4es73 [151]

Answer:

(fºg)(x) =  x -2

Step-by-step explanation:

f(x) = x + 2

g(x) = x - 4

(fºg)(x) = ( x - 4) + 2

(fºg)(x) =  x -2

3 0
2 years ago
Other questions:
  • Determine the x- and y-intercepts of the graph of y = 1/4x - 2
    9·2 answers
  • What is 58,788,188 rounded to the nearest million
    6·2 answers
  • I’m thinking of two numbers. Their greatest common factor is 6. Their least common multiple is 36. One of the numbers is 12. Wha
    13·2 answers
  • Please help me ASAP!
    10·1 answer
  • If F(x)=9x which of the following is the inverse of F(x)
    15·2 answers
  • Which graph represents y=3(x-3)^2+3
    5·1 answer
  • The cost of a laptop computer in 2007 was $1,250. In 2009, the price
    10·1 answer
  • The two short sides of a triangle are 3 and 4 inches. what is the length of the hypotenuse,in inches?​
    15·2 answers
  • 6) HELP plz ASAP the last one plz help
    10·2 answers
  • The diameter of a basketball is 24 centimeters. find the volume of the basketball
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!