Yes the graph of a function can be a vertical or a horizontal line
A constant function is just a horizontal line. To graph the function y=5 or f(x)=5, just draw a horizontal line at y=5 and x=0. | | |-------------------- y=5 | | ---------------------
I posted this question myself to be honest because i wasn't sure... but the horizontal line test was made to prove whether the function/graph was an one-to-one function
yes
On a graph, a horizontal line reprents no change in data.
Yes the graph of a function can be a vertical or a horizontal line
Yes the graph of a function can be a vertical or a horizontal line
Yes the graph of a function can be a vertical or a horizontal line
It means that the function is constant.
Horizontal line test is used for the determination of a function,if the horizontal line passes through one point of the given graph then it is a function and if it passes through more than one point then it will not a function. * * * * * No! It is a vertical line test. Consider the graph of y = sin(x): a horizontal line line will cross it twice in every 360 degrees! Convince me that y = sin(x) is not a function.
A constant function is just a horizontal line. To graph the function y=5 or f(x)=5, just draw a horizontal line at y=5 and x=0. | | |-------------------- y=5 | | ---------------------
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.
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.
I posted this question myself to be honest because i wasn't sure... but the horizontal line test was made to prove whether the function/graph was an one-to-one function
Yes, with no slope. It will show up as a horizontal line if you graph it.
yes
The straight horizontal line on a graph is referred to as the x-axis. The vertical line on a graph is the y-axis.