f(x) = x2 This is a function by the vertical line test because a vertical line drawn through this function will only intersect the function at one point
A line is a function ifany line parallel to the y axis meets the line at most once andall points where it does not meet the line are excluded from the domain.
Horizonatal line test is a test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one. A one-to-one function is a function where every element of the range correspons to exactly one element of the domain. Vertical line test is a test used to determine if a function is a function or relation. If you can put a vertical line through graph and it only hits the graph once, then it is a function. If it hits more than once, then it is a relation.
A linear function
Yes, the resulting function is a straight line. This is the source:http://www.mathbench.umd.edu/mod207_scaling/page10.htm
It is a continuous function. If the line is a straight line, it is a linear function.
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
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.
It is a function. If the graph contains at least two points on the same vertical line, then it is not a function. This is called the vertical line test.
f(x) = x2 This is a function by the vertical line test because a vertical line drawn through this function will only intersect the function at one point
"y = f(x) is a function if it passes the vertical line test. It is a 1-1 function if it passes both the vertical line test and the horizontal line test. " - In order to be a one-to-one function, it first has to BE a function and pass the vertical line test. For example, a relation on a graph like a circle that does not pass the vertical line test is not function nor one-to-one.
A function can never be a vertical line, because it then fails the definition of a function: every x value outputs only 1 y value. The vertical line test will determine if a relation is a function. If a vertical line intersects the graph of the function at more than one place, it is not a function.
The vertical line test can be used to determine if a graph is a function. If two points in a graph are connected with the help of a vertical line, it is not a function. If it cannot be connected, it is a function.
A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.
A line is a function ifany line parallel to the y axis meets the line at most once andall points where it does not meet the line are excluded from the domain.
asymptote