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What else can I help you with?
How do you find an inverse of a function?
The inverse of a function can be found by switching the independent variable (typically the "x") and the dependent variable (typically the "y") and solving for the "new y". You can also create a t-chart for the original function, switch the x and the y, and graph the new relation.You will note that a function and its inverse are symmetrical around the line "y = x".Sometimes the inverse of a function is not actually a function; since it doesn't pass the "vertical line test"; in this case, you have to restrict the new function by "erasing" some of it to make it a function.
What is a function that forms a line when graphed called?
It is a continuous function. If the line is a straight line, it is a linear function.
When does a graph represents a function?
take a vertical line, if another line intersects that vertical line at 2 points, then it is a function.In other words,a graph represents a function if each vertical line meets its graph in a unique point.
Is a parabola a line?
By the geometric definition of a line, it is represented by two points, and all points on the line are collinear, between or extrapolating to infinity from the straight line made by the two points. In other words, a line is straight, and can be represented by a binomial function (example: y=2x+1). A parabola is a function, but cannot be described mathematically as a line.
What is a constant function?
A constant function is a function that always yields the same output value, regardless of the input. In other words, the function's output is a fixed value and does not depend on the input variable. Graphically, a constant function appears as a horizontal line.
Can a line be a graph of a function?
Yes the graph of a function can be a vertical or a horizontal line
Can a line be the graph of a function?
Yes the graph of a function can be a vertical or a horizontal line
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 do you call a function whose graph is a non-vertical line?
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.
How do you use the vetical line test to determine 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
Can a one to one function not be a function?
"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 will always be a vertical line?
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.
