Answers
You can use the graph given to form the equation and using the fact that as the denominator goes towards zero, the fraction outputs immensely big magnitude numbers(tending to arbitrarily large numbers)
The equation for the given graph can be:
[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
Using the graph to form the equationSince the graph goes to negative infinity as it comes from left side of 1 towards 1, and goes to positive infinity as it comes from the right side of 1, thus, there might be x-1 in denominator which takes the magnitude to infinite and sign to + if x > 1 and to - if x < 1
Now since the graph intersects the y axis at y = -3, thus, we need the function to be such that putting x = 0 in the function outputs -3 as value of the function.
Thus,
[tex]f(0) = -3[/tex]
Since putting 0 in [tex]\dfrac{1}{(x-1)}[/tex] gives -1 as answer, we have to subtract 2 more.
Thus, we have:
[tex]f(x) = \dfrac{1}{x-1} - 2[/tex]
Checking it, as the graph intersects the x axis at 1.5, putting f(x) = 0 should give us x = 1.5,
[tex]f(x) = \dfrac{1}{x-1} - 2\\\\0 = \dfrac{1}{x-1} - 2\\\\2(x-1) = 1\\\\x = 1 + \dfrac{1}{2} = 1.5[/tex]
It is correct.
Thus,
The equation for the given graph can be:
[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]
Its graph is attached below.
Learn more about graphing functions here:
https://brainly.com/question/17056821
Related Questions
PLEASE HELP
Which line segment is a radius of K?
A) EH
B) FG
C) DK
D) KH
Answers
Answer:
HE is the answer I think...no.a
The correct line segment which is a radius of О K is,
⇒ Radius = DK
What is mean by Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
We have to given that;
Circle with center K is shown in figure.
And, To find the line segment which shows the radius of Circle with center K.
Now,
By definition of circle of radius is,
⇒ FG = Chord of circle
⇒ EH = Diameter of circle
⇒ JI = Chord of circle
⇒ DK = Radius of circle
Hence, We get;
The correct line segment which is a radius of О K is,
⇒ Radius = DK
Therefore, We get;
The correct line segment which is a radius of О K is,
⇒ Radius = DK
Learn more aboput the line segment visit:
https://brainly.com/question/280216
#SPJ7
The graph shown below represents a ladder leaning against wall the bottom of the latter is 4 feet from the wall in the top of the ladder reach is 20 feet above the ground what is the slope of graph (I’m so sorry I don’t have a picture)
Answers
Answer:
C.) -5
Step-by-step explanation:
The slope formula is rise/run, in other words, rise divided by run or the y variable divided by the corresponding x variable.
In this question, we are told that the y-value is "20 feet above" meaning this is the rise and the run is "4 feet from"
To find the slope all we have to do is divide 20 by 4 giving us 5. Since the ladder is going down we know that we have to place a negative sign before the slope giving us our final answer of -5
What is the first step for plotting points on the coordinate plane
Answers
Answer:
Steps for Plotting an Ordered Pair (x, y) in the Coordinate Plane. Determine the x-coordinate. Beginning at the origin, move horizontally, the direction of the x-axis, the distance given by the x-coordinate. If the x-coordinate is positive, move to the right; if the x-coordinate is negative, move to the left.
ahhhhhahh please help marking brain list
Answers
Answer:
Subtracts 12-4
Step-by-step explanation:
3x+4=12
you will move 4 to the other side to make it 12-4 it is minus because the sign changes when you move it.
a) simplify 4 x 5p
b) simplify 9y-6y + y
Answers
Answer:
20p & 4y
Step-by-step explanation:
combine like terms yk
the sum of a number and 6 is the same as the number times 11.
Answers
Answer:
x = 3/5
Step-by-step explanation:
This is my last 8th grade problem, again if you know the answer please interact :)
Answers
Answer:
same slope
parallel lines
Step-by-step explanation:
I need help with this pls
Answers
Answer:
if it a worksheet search the question online and the answer key comes up
Step-by-step explanation:
Help I need one more number but I have no clue what it is!!!!!!!!!!!!!
Answers
Answer:
The point of intersection with the x axis are (-2,0) and (8,0)
Step-by-step explanation:
given circle equation x²+y² = 25
x² + y² = r²
r is the radius.
✓(25) = 5
given the center is at (3,0) and radius of 5
(3+5,0) and (3-5,0)
(8,0) and (-2,0)
(Please heart the answer if you find it helpful, it's a motivation for me to help more people)
what is the value of x
7 square root 2
14
7 square root 3
7square root 2 over 2
7 square root 3 over 3
Answers
Answer:
I had this question yester day.
Step-by-step explanation:
1. What is the domain of the function graphed on the grid?
Answers
Answer:
[-2,4]
Step-by-step explanation:
The domain is just asking for all the possible x values
we can see that the lowest x value is -2 and the highest is 4 which means our answer is
[-2,4]
Answer:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the
x
-axis. The range is the set of possible output values, which are shown on the
y
-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.
We can observe that the graph extends horizontally from −5 to the right without bound, so the domain is [−5,∞). The vertical extent of the graph is all range values 5 and below, so the range is (−∞,5]. Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range.
pls help me, brain list and a thanks
Answers
Answer:
11/8 or 1 3/8
Step-by-step explanation:
5+6=11
11 goes into 8 1 so you have
1 /8
then theres the remander 3 so you get
1 3/8
Finding missing angles
please help!! i really need it
Answers
Answer:
95°
Step-by-step explanation:
The angles have the same degrees
A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours. After the leak is fixed, the height of the water is 4.75 feet. The equation 4.75 = x + (negative 0.25) can be used to find x, the original height of the water in a pool
What was the original height of the water in the pool in fet
Answers
Answer:The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
Answer the questions to estimate the probability that the Iceblades will win the game.
1. The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
Write your answer in the space below.
2. Each group represents the 5 shots taken by the other team. To win the game, the Iceblades cannot let the other team score any goals.
For a group to be a success, how many of the 5 shots does the goalie need to save?
Write your answer in the space below.
3. Group 1 is a success. Explain why.
Write your answer in the space below.
4. In this simulation, which groups are successes? How many successes are there in the 10 groups
Step-by-step explanation:
PLZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEE
solve by graphing
x - 3y = 2
-3x + 9y = -6
Answers
Answer:
This is the graph (NOTE, THEY ARE ON TOP OF EACH OTHER).
Step-by-step explanation:
Which table represents a linear function?
Answers
Answer:
My laptop doesn't make me see images, but its the one where you subtract the x coordinates and it has the same answer and when you subtract the y coordinates, it has the same answer
Step-by-step explanation:
Imagine: x = 2, 4, 6, 8, 10 and y = 4, 8, 12, 16, 20
For the x,
4 - 2 = 2
6 - 4 = 2
8 - 6 = 2
10 - 8 = 2
Notice how the answers are all equal to 2
And for the y,
8 - 4 = 4
12 - 8 = 4
16 - 12 = 4
20 - 16 = 4
Notice how the answers are all equal to 4
Good luck!
2. Noah said, "I think this line is a good fit because it passes through the leftmost point and the rightmost point." Do
you agree?
Answers
Answer:
No I do not because I think the dots on each side are not equally split so it’s not a good fit
Step-by-step explanation:
Write a rule for the linear function in the table.
f(x) = 4x + 3
f(x) = –4x – 3
f(x) = x + 3
f(x) = [tex]\frac{1}{4}[/tex]x +3
Answers
Answer: I would go with A. f(x) = 4x + 3
Nothing further can be done with this topic. Please check the expression entered or try another topic.
f ( x ) = 4 x + 3 , f ( x ) = − 4 x − 3 , f (x ) = x + 3 , f ( x ) = x + 3
Step-by-step explanation: Set up the composite function and evaluate.
f ( 4 x + 3 ) = 16 x + 15
Graph.
f ( x ) = 4 x + 3
f ( x ) = − 4 x − 3
f ( x ) = x + 3
f ( x ) = x + 3
solve the following for x 4(x+2) = 6x
Answers
Answer:
x = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
4(x+2)=6x
distribute 4:
4x+8=6x
Subtract 4x from each side:
8=2x
Divide both sides by 2:
x=4
three times a number subtracted by 3 is 20
Answers
Answer:
3x - 3 = 20
Step-by-step explanation:
Times is a word that represents multiplication. A number can be represented by x.
3x - 3 = 20
Solving this:
3x - 3 = 20 1. Add 3 on both sides
3x = 23 2. Divide by 3 on both sides
x = 7 2/3
Shannon’s bicycle travels 40 feet for every 3 pedal turns. How many pedal turns are needed to travel one mile (1 mile = 5,280 feet) please help and ill give you brainliest
Answers
A circular running track is 1/2 mile long. Elena runs on this track completing each lap in 6 minutes how long will it take Elena to run 3 miles?
Answers
Answer:
36 mins
Step-by-step explanation:
0.5 miles/6 mins = 3 miles/x mins
In order to convert the ratio from 0.5 miles to 3 miles, 0.5 was multiplied by 6. Therefore, to keep the ratio the same, 6 minutes must also be multiplied by 6 to find x. This means the answer is:
3 miles/36 mins
-4M = 48 What would you do to each side of the equation?
Pls responddd
Answers
Answer:
divide by - 4
Step-by-step explanation:
Given
- 4M = 48 ( isolate M by dividing both sides by - 4 )
M = - 12
2(x + 5) = 30 what does x equal?
Answers
Answer:
x = 10
Step-by-step explanation:
(2x10) + (2x5) = 30
Answer:
10
Step-by-step explanation:
2(x+5)=30
30÷2=15
15-5=10
x=10
what is the graph of y = x2 + 8x + 4?
Answers
Find the slope of the line through the given points.
(-2,7) and (2,-5)
Answers
Answer:
y = -3x + 1
Step-by-step explanation:
hope this is right!
Write an algebraic expression that can be used to show the total cost of bowling if each game cost $5 and shoe rentalis
$2
5+2x
Answers
Answer: 5n+2. 5×3+2=$. 15+2=$. 17=$.
100 pts and brainliest
Name every one of vegetas techniques and skills
Need 2 know
Answers
Answer:
1. Powerful Lungs: In the anime, Vegeta has shown himself capable of surviving for extended periods of time in outer space, without the need of air, although it can be assumed that extended deprivation of air will eventually lead to his death. 2. Telekinesis– A technique that allows the user to manipulate objects …
Techniques
1. Saiyan Energy Attack- He charges up a blast in a fashion similar to a Finish Buster, and fires it at the opponent to inflict a large amount of damage. 2. Triple Blast – An anime only technique. Vegeta fires three yellow Ki Blasts from his left hand at the same time. He uses this attack on Perfect Cell. Named i…
Martial Arts Techniques
1. Exploding Wave- The user manipulates their ki to disrupt the planet's geomagnetic field. With a swift upwards motion of the hand, the user can create a massive atomic explosion that has the potential to cause an almost endless crater in the desired area. 2. Spirit Breaking Cannon- First, Vegeta punches the
Step-by-step explanation:
Answer:Forced Spirit Fission
Despite Moro's overwhelming power, Vegeta relentlessly continues his assault, during which his fellow Z-fighters realize that Vegeta is utilizing a new technique called Forced Spirit Fission. The technique creates the accumulation of energy in the sky above them.
can i get a owa owa
Step-by-step explanation:
help me plsss i’m gonna fail lol
Answers
Answer: 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
17.7... i think
1/3 (x – 10) = -4, x =
Answers
Answer:
Step-by-step explanation:
Divide both sides by 1/3, which is equivalent to mulitplying by 3
x - 10 = -12
Add 10 to both sides
x = -2