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If (4 -5) is on the graph of F(x) which point must be on the graph of the inverse function F -1(x)?
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Differentiate inverse function from logarithmic function?
The inverse of the natural log function lnx is exA function must be one to one to have an inverse and the log function is.I am not sure if that is what you are asking.The derivative of ex is itself.That is to say if f(x)=ex then f'(x)=exIf you are asking about the derivative of lnx, it is 1/xand if you look at logb x=1/(xlnb)Not sure which one you are looking for.
How you will know that the graph and the given equation into variables represent a function?
The graph or function relates a value y (in the vertcal direction) to a value x (in the horizontal direction). For each point x in the domain, there must be one and only one value y. In terms of a graph that means that a vertical line from any value of x in the domain must meet the graph in exactly place - at least once and not more than once. More than one x values can have the same y value associated with them.
How do graphs help you understand functions?
Typically, functions are graphed on x-y coordinates. A function of x means that for every x point, there must be a single y point. You can also many properties by graphing a function, such as the minimum and maximum points, slopes and inflection points, and the inverse of the function (y values plotted on x coordinate, and x values on y coordinate).
What is the different shape a relation from a function?
When graphed, a function has any shape so that all vertical lines will cross the graph in at most one point. A relation does not have this condition. One or more vertical lines may (not must) pass thru a relation in more points.
Must be positive the slope of an inverse relationship?
The slope of an inverse relationship
How do you find the inverse of an equation?
Generally, to find the inverse of an equation, replace every x with y and replace every y (otherwise written f(x) ) with an x. Then it's "good form" to get the equation into y= form. For an equation involving only two variables, the inverse can be found by swapping the x and y variables. Then, solve for y. If the equation does not define y as a function of x, the function f does not have an inverse. In order to start talking about an inverse, be sure first, that the given equation defines y as a function of x. Not every graph in the rectangular system is the graph of a function. For example, if you have an equation: x^2/4 + y^2/9 = 1 it's wrong to say the inverse will be: y^2/4 + x^2/9 = 1. Both of the above equations are ellipses. The original equation is an ellipse with the major axis (the long axis) on the y-axis, while the other has the major axis on the x-axis. Both of them do not represent a function, because if you solve for y, you'll see that two values of y can be obtained for a given x. Please note that if you are talking about functions, then not every function has an inverse, as a function must be one-to-one in order to have an inverse. A function must pass the "horizontal line test", which states that the graph of a function must never intersect with a horizontal line more than once, anywhere on it's domain. Inverse functions have some special properties: 1) The graph of an inverse function is the reflection of the original function reflected across the line y = x. 2) A function and it's inverse cancel each other out through functional composition.
How do you determine if the graph is a function?
If for every point on the horizontal axis, the graph has one and only one point corresponding to the vertical axis; then it represents a function. Functions can not have discontinuities along the horizontal axis. Functions must return unambiguous deterministic results.
Is it possible for a fourth degree function to have an inverse that is a function?
In order for a fourth degree function to have an inverse function, its domain must be restricted. Otherwise the inverse function will not pass the vertical-line test.Ex.f(x) = x^4 (x>0), the original functionf-1(x) = x ^ (1/4), the inverse
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.
Is a sign graph a function?
A function must have a value for any given domain. For each edge (or interval), the sign graph has a sign (+ or -) . So, it is a function.
How do you identify a function graphically?
The normal test for checking that a graph represents a function is to check that it is not one-to-many. That is, one value of x does not get mapped onto more than one value of y. If you can draw any vertical line that intersects the graph at more than one point then it is not a function. If no such line can be drawn then it may be a function. You still have no guarantee that it is.One more requirement of a function is that every point in the domain has an image in the codomain (range).Consider the graph ofy = 2x for 0 < x < 2andy = 2x for 2 < x < 4Is it a function over the domain 0 < x < 4?For every point in the domain there must be a point in the range. It is not possible to check this graphically.In this respect, the question is flawed.
Differentiate inverse function from logarithmic function?
The inverse of the natural log function lnx is exA function must be one to one to have an inverse and the log function is.I am not sure if that is what you are asking.The derivative of ex is itself.That is to say if f(x)=ex then f'(x)=exIf you are asking about the derivative of lnx, it is 1/xand if you look at logb x=1/(xlnb)Not sure which one you are looking for.
Example of a function that has no inverse function?
y = sin x is such a function. It has an inverse, of course; but the inverse, sin-1, strictly speaking, is not a function.Example: Given that x = pi/6, y must equal 0.5. However, given that y = 0.5, x can equal pi/6, 5 pi/6, 13 pi/6, 17 pi/6, or an infinity of values, both positive and negative.For y to be a function of x, and x to be, also, a function of y, there must be exactly one value of y that answers to a given value of x, and vice-versa. Then, and only then, is each function the inverse of the other.
How you will know that the graph and the given equation into variables represent a function?
The graph or function relates a value y (in the vertcal direction) to a value x (in the horizontal direction). For each point x in the domain, there must be one and only one value y. In terms of a graph that means that a vertical line from any value of x in the domain must meet the graph in exactly place - at least once and not more than once. More than one x values can have the same y value associated with them.
If 2 1 is an ordered pair of the function F x what must be an ordered pair of the inverse of F x?
(1,2)
How do graphs help you understand functions?
Typically, functions are graphed on x-y coordinates. A function of x means that for every x point, there must be a single y point. You can also many properties by graphing a function, such as the minimum and maximum points, slopes and inflection points, and the inverse of the function (y values plotted on x coordinate, and x values on y coordinate).
What does a one to one function graph look like?
A one-to-one graph must pass both the horizontal and the vertical line test. That means that no x-value can have two y-values and no y-value can have two x-values. An example of a one-to-one function is a line. Things like parabolas and the graph of an absolute function cannot be one-to-one.
