True
Of the three functions, all three pass the vertical line test. That is, if you draw a vertical line anywhere on the graph that the function is, that line will only pass through the function once. All three are also invertible functions, which means that there is a function that is capable of "undoing" the original function. And because the functions all pass the vertical line test, they are all able to be differentiated.
They are all one-to-one as they all pass the vertical line test.
A vertical line can be used to test whether or not a graph is a function.
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
No. Because a vertical line will pass through two points on the graph.
"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.
True
False
Of the three functions, all three pass the vertical line test. That is, if you draw a vertical line anywhere on the graph that the function is, that line will only pass through the function once. All three are also invertible functions, which means that there is a function that is capable of "undoing" the original function. And because the functions all pass the vertical line test, they are all able to be differentiated.
No, the graph of an oval/ellipse is not a function because it does not pass the vertical line test.
A vertical line. Remember that one test to see if a relation is a function is the vertical line test. A vertical line would fail that of course.
They are all one-to-one as they all pass the vertical line test.
A vertical line can be used to test whether or not a graph is a function.
Y = 5X + 1 Is a line and should pass the vertical line test for functions, so this is a function.
Use the vertical line test...pass a vertical line from left to right across the graph. If you hit the graph more than once at a time, there is x-sharing, and it is not a function.
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.