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Q: What is a way to see if a line on a graph is a function?
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How can you tell if a graph is a function?

A graph is a function if every input (x-value) corresponds to only one output (y-value). One way to check for this is to perform the vertical line test: if a vertical line intersects the graph at more than one point, the graph is not a function.


Is the relation a function y equals 3x-4?

7


What are the difference between a line graph and bar graph?

Bar graphs use bars and a line graph is like a scatter graph but with a straight line to see wich way the dots are going.


How does you know that relation is a function?

One way is to try the vertical line test on a graph!


Can you determine whether the inverse of a function is a function by using vertical line test?

Not quite. You can use a vertical line test on the graph of the inverse mapping, OR you can use a horizontal line test on the original graph. The horizontal line test is used in the same way.


What is a way of determining whether a graph is a function?

For a graph to be a function, each x-value has to take maximum one y-value. One way you can check this is drawing a vertical lines through points on the graph. If a single vertical line intersects the graph in more than one place, that means the x-value defining the line has more than one y-value, and the graph is not a function.tl;dr: Draw vertical lines through the function, and if the lines only intersect the graph once, you have a function.


How do you tell a graph is a function if it touches the y-axis exactly one time?

The main way that a graph can be defined as a function is if it passes the vertical line test; this means that each individual x must correspond to one specific value of y. In the situation you mentioned, we don't know if the graph in question really is a function, because we only see the point at y; we don't know if the graph loops around on itself and fails the vertical line test at any other point.


How will you determine if a graph is a function or a mere relation?

You use the "vertical line test". If anywhere you can draw a vertical line that goes through two points of the graph, the relation is not a function; otherwise, it is a function. This is just another way of saying that in a function for every x value (input) there is AT MOST one y value (output).


When is a relation considered to be function?

A relation is a function when an x value only has one y value associated with it. An easy way to tell this is to graph the relation, then draw a vertical line through it. If, at any point, it touches the graph twice, the relation isn't a function.


Why a constant function doesn't have an inverse function?

When graphing functions, an inverse function will be symmetric to the original function about the line y = x. Since a constant function is simply a straight, horizontal line, its inverse would be a straight, vertical line. However, a vertical line is not a function. Therefore, constant functions do not have inverse functions. Another way of figuring this question can be achieved using the horizontal line test. Look at your original function on a graph. If any horizontal line intersects the graph of the original function more than once, the original function does not have an inverse. The constant function is a horizontal line. Under the assumptions of the horizontal line test, a horizontal line infinitely will cross the original function. Thus, the constant function does not have an inverse function.


What is a line graph and bar graph?

A line graph is shaped like a triangle and a bar graph is exactly like column but bar graph is other way around


Why don't you connect the dots on the line graph?

This question cannot be answered in a sensible way because it is based on a misunderstanding. The dots in a line graph ARE connected. That is what a line graph is. If they are not connected then it is a scatter graph.