Another Name For Y Intercept

Graph y=ƒ(ten) with the x-axis as the horizontal axis and the y-axis equally the vertical axis. The y-intercept of ƒ(x) is indicated past the reddish dot at (x=0, y=1).

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a role or relation intersects the y-axis of the coordinate organisation.^[1] Equally such, these points satisfy 10 = 0.

Using equations [edit]

If the curve in question is given as ${\displaystyle y=f(10),}$ the y-coordinate of the y-intercept is plant by calculating ${\displaystyle f(0).}$ Functions which are undefined at 10 = 0 have no y-intercept.

If the function is linear and is expressed in gradient-intercept course equally ${\displaystyle f(x)=a+bx}$ , the constant term ${\displaystyle a}$ is the y-coordinate of the y-intercept.^[2]

Multiple y-intercepts [edit]

Some 2-dimensional mathematical relationships such as circles, ellipses, and hyperbolas tin have more than one y-intercept. Considering functions associate x values to no more than i y value every bit office of their definition, they can have at well-nigh i y-intercept.

ten-intercepts [edit]

Analogously, an x-intercept is a point where the graph of a function or relation intersects with the x-centrality. Equally such, these points satisfy y=0. The zeros, or roots, of such a office or relation are the 10-coordinates of these x-intercepts.^[3]

Unlike y-intercepts, functions of the class y = f(x) may comprise multiple ten-intercepts. The x-intercepts of functions, if whatsoever exist, are often more than difficult to locate than the y-intercept, every bit finding the y intercept involves just evaluating the function at x=0.

In college dimensions [edit]

The notion may exist extended for 3-dimensional space and higher dimensions, as well as for other coordinate axes, possibly with other names. For case, ane may speak of the I-intercept of the current–voltage characteristic of, say, a diode. (In electrical engineering, I is the symbol used for electric current.)

Run across besides [edit]

• Regression intercept

References [edit]

1. ^ Weisstein, Eric W. "y-Intercept". MathWorld--A Wolfram Web Resource. Retrieved 2010-09-22 .
2. ^ Stapel, Elizabeth. "x- and y-Intercepts." Purplemath. Bachelor from http://www.purplemath.com/modules/intrcept.htm.
3. ^ Weisstein, Eric W. "Root". MathWorld--A Wolfram Spider web Resource. Retrieved 2010-09-22 .

Another Name For Y Intercept,

Source: https://en.wikipedia.org/wiki/Y-intercept

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