A question on plotting functions on a graph

In summary, there was a discussion about a graphical representation of a single valued function in a supplementary notes document from MIT's open course ware on single variable calculus. The description stated that if each line parallel to the y-axis intersects the graph at only one point, then the function is single valued. However, there was confusion on how this could be a function since each input would have multiple outputs. A drawing was suggested to clarify the statement and the misunderstanding was resolved.
  • #1
#neutrino
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2
when i was reading a supplementary notes doc from open course ware fro MIT on single variable calculus there was a description about a graphical representation of a single valued function as
" if each line parallel to the y- axis and which passes through a point in the domain intersects the graph at only one point then our function is single valued " my point is since it is a line drawn parallel to the y- axis for each input there will be several outputs ,therefore how come it is a function at all?
 
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  • #2
Make a drawing and indicate what you read from this sentence. It seems to me you misunderstand the statement...
 
  • #3
thanks got it
 
  • #4
You're welcome.
 

What is a function?

A function is a mathematical relationship between a set of inputs and a set of outputs. It maps each input to exactly one output and can be represented visually on a graph.

How do you plot a function on a graph?

To plot a function on a graph, you need to first determine the range of inputs you want to plot. Then, plug in each input value into the function and plot the resulting output on the graph. Finally, connect the plotted points to create a visual representation of the function.

What is the purpose of plotting a function on a graph?

Plotting a function on a graph allows us to visualize the relationship between the inputs and outputs of the function. It can also help us identify patterns and make predictions about future values.

What is the difference between a linear and non-linear function?

A linear function is a straight line on a graph, with a constant rate of change between the inputs and outputs. Non-linear functions, on the other hand, have a curved or irregular shape on a graph and do not have a constant rate of change.

How can you use a graph to solve a function?

By plotting a function on a graph, we can visually identify the x and y intercepts, as well as the slope of the function. This information can then be used to solve for specific input or output values of the function.

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