So two different inputs can have the same output?

Yes and that is what happens with quadratic functions. If you have y = x^2, then both 2 and negative 2 give you 4, but this is still a function. Or if you have a line with a slope of 0 such as y = 4, all inputs give you the same output of 4.

A function can have same output for more than one input? A function can have same input for more than one output True or false .justify

Outputs do not matter when it comes to functions, the definition is that any input can have at most one output (it is possible for an input to zero or one outputs). Thus, the first statement is true because it does not matter about outputs, but the second is false because you need a one on one relationship between input and output.

Sal says, "they have graphed y = f(x)". What does it actually mean? What about x = f(x).What would that mean?

y=f(x) is a function relating x and y You can say that for a given x value the 'f' gives us the respective y values.So, it cannot be equal to x i.e. x cannot be equal to f(x) Check out the topics on functions in Algebra II for better undestanding

what is the difference between input and output

The input is what comes in.. (in this case: the x value). Then comes the process, where the input is processed (in this case: the function), which is self-explanatory, and finally the output, the result of the process (in this case: the y value). ```*input --> process --> output*``` ```*x --> function --> y*``` Hope this (could have) helped!

Is there a name for the curved lines on the graph?

The graph is called a function and the highest and lowest points on the graph are called absolute maxima and minima. Points that are comparatively higher or lower are called relative maxima and minima. Some examples of graphs that are curved are hyperbolas, parabolas, exponential graphs, and cardioids.

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Class 11 Physics (India)

Course: Class 11 Physics (India) > Unit 3

Lesson 9: Inputs and outputs of a function

Worked example: two inputs with the same output (graph)

Name: Worked example: two inputs with the same output (graph)
Uploaded: 2015-06-25T14:36:43Z
Description: Sal finds the input value other than -5 for which f(x)=f(-5), given the graph of f.

CCSS.Math:

HSF.IF.A.1

HSF.IF.A.2

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Sal finds the input value other than -5 for which f(x)=f(-5), given the graph of f.

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Jonalie
Posted 6 years ago. Direct link to Jonalie's post “So two different inputs c...”
So two different inputs can have the same output?
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(6 votes)
Answer
- David Severin
  Posted 6 years ago. Direct link to David Severin's post “Yes and that is what happ...”
  Yes and that is what happens with quadratic functions. If you have y = x^2, then both 2 and negative 2 give you 4, but this is still a function. Or if you have a line with a slope of 0 such as y = 4, all inputs give you the same output of 4.
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  (14 votes)
Priyu Pathak
Posted 5 years ago. Direct link to Priyu Pathak's post “A function can have same ...”
A function can have same output for more than one input?
A function can have same input for more than one output
True or false .justify
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(4 votes)
Answer
- David Severin
  Posted 5 years ago. Direct link to David Severin's post “Outputs do not matter whe...”
  Outputs do not matter when it comes to functions, the definition is that any input can have at most one output (it is possible for an input to zero or one outputs). Thus, the first statement is true because it does not matter about outputs, but the second is false because you need a one on one relationship between input and output.
  Button navigates to signup page
  (5 votes)
Daniel Six
Posted 5 years ago. Direct link to Daniel Six's post “what is the difference be...”
what is the difference between input and output
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(2 votes)
Answer
- Saket
  Posted 4 years ago. Direct link to Saket's post “The input is what comes i...”
  The input is what comes in.. (in this case: the x value). Then comes the process, where the input is processed (in this case: the function), which is self-explanatory, and finally the output, the result of the process (in this case: the y value).
  input --> process --> output
  
  x --> function --> y
  
  Hope this (could have) helped!
  Button navigates to signup page
  (6 votes)
jumper
Posted 6 years ago. Direct link to jumper's post “Sal says, "they have grap...”
Sal says, "they have graphed y = f(x)". What does it actually mean? What about x = f(x).What would that mean?
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(3 votes)
Answer
- shihabdec1312
  Posted 6 years ago. Direct link to shihabdec1312's post “y=f(x) is a function rela...”
  y=f(x) is a function relating x and y
  You can say that for a given x value the 'f' gives us the respective y values.So, it cannot be equal to x i.e. x cannot be equal to f(x)
  Check out the topics on functions in Algebra II for better undestanding
  Button navigates to signup page
  (3 votes)
Pranav K
Posted 6 years ago. Direct link to Pranav K's post “1 input can't have 2 outp...”
1 input can't have 2 outputs.But 1 output can have 2 inputs.WHY?
Button navigates to signup pageComment on Pranav K's post “1 input can't have 2 outp...”
(3 votes)
Answer
Jakub
Posted 5 years ago. Direct link to Jakub's post “How much inputs and outpu...”
How much inputs and outputs can there be?
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(3 votes)
Answer
- Cowboy
  Posted 5 years ago. Direct link to Cowboy's post “For any given function, t...”
  For any given function, there are infinite inputs—and if there are infinite inputs, there are infinite outputs... it all depends on what you are looking for when you use a function.
  You see, a function can't necessarily be solved like "A + B = C", you can only plug a number in and see what the function will churn out.
  Hope this explains it a little better!
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  (1 vote)
Sid
Posted 7 years ago. Direct link to Sid's post “Is there a name for the c...”
Is there a name for the curved lines on the graph?
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(2 votes)
Answer
- jasminepandit
  Posted 7 years ago. Direct link to jasminepandit's post “The graph is called a fun...”
  The graph is called a function and the highest and lowest points on the graph are called absolute maxima and minima. Points that are comparatively higher or lower are called relative maxima and minima. Some examples of graphs that are curved are hyperbolas, parabolas, exponential graphs, and cardioids.
  Button navigates to signup page
  (3 votes)
Haya Aboudan
Posted 7 years ago. Direct link to Haya Aboudan's post “so each input can only ha...”
so each input can only have 1 output but each output may have more than 1 input
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(2 votes)
Answer
- Aaron Ghosh
  Posted 5 months ago. Direct link to Aaron Ghosh's post “Yes, you are correct. For...”
  Yes, you are correct. For every input, there is exactly one output, if it is a function. However, there may be more that one of an output, as long as they lead back to different inputs. I realize that this was a bit wordy, so comment on this if it does not make sense. Hope this helps!
  Comment on Aaron Ghosh's post “Yes, you are correct. For...”
  (1 vote)
tvalladares
Posted 6 years ago. Direct link to tvalladares's post “this problem confused me....”
this problem confused me. the wording in the question. how are those two values even equal? i would have never figured that out on my own.
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(2 votes)
Answer
- natalie.ann.mendoza
  Posted 6 years ago. Direct link to natalie.ann.mendoza's post “What it is saying is that...”
  What it is saying is that -5 is equal to another number on the positive side. Try watching the confusing part again and it will make more sense.
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  (1 vote)
shmur425
Posted 5 years ago. Direct link to shmur425's post “What is a function piece ...”
What is a function piece to show the cost for grooming a dog if the cost is $35 for 15 pounds and under
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(2 votes)
Answer

Video transcript

The graph of the function f is shown below. What is the input value other than negative five for which f of x is equal to f of negative five? So, we have our x axis, we have our y axis. And then in blue, they've graphed y equals f of x. So for example when x is equal to one, f of x, when y is going to be equal to f of x --that's what this graph is-- f of x is equal to one. When x is equal to seven, f of seven, we see, is equal to five. When x is equal to nine, we see that f of nine is equal to six. So what is the input value other than negative five for which f of x is equal to f of negative five? So, let's see. If x is equal to negative five, f of negative five is... -- we move up here to the graph-- It is equal to four. Cause this, once again, is the graph y is equal to f of x. So the y coordinate here, this is what f of x, this is what five of negative five is equal to. So f of negative five is equal to four. So where else does that happen? So let's see. Let's just move horizontally to the right. That happens here as well. So what input do we have to give? What's the x coordinate here to get y is equal to f of x or f of x is equal to four right over here? Well, we see the x coordinate is also four. So this tells us that f of four is equal to four, which is the same thing as f of negative five. So when x is four, the function takes on the same value as when x is negative five. So x equals four. And we are done.