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What is x intercept defined as?

Updated: 9/22/2023
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11y ago

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The point at which a function crosses the x-axis.

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Q: What is x intercept defined as?
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What is the meaning of x and y intercepts?

The x-intercept is defined by where a line crosses the x-axis. The y-intercept is defined by where a line crosses the y-axis.


Why the graph of a polynomial function with real coefficients must have a y intercept but no x intercept?

A polynomial function is defined for all x, ranging from minus infinity to plus infinity. Since it is defined for all x, it is defined for x = 0 and this is the point where it intersects the y-axis which is called the y-intercept. It is possible, with suitable choice of coefficients that the function is always positive or always negative. In either case it will not cross the x-axis so that there is no x-intercept. However, it is not true to say that all polynomial functions with real coefficients do not have an x-intercept. In fact all polynomials of odd order (linear, cubic, quintic etc) will have at least one x-intercept.


How do you find a negative slope intercept of a vertical line?

A vertical line does not have a slope - negative or positive. It is not defined. A vertical line has no y intercept and, if its equation is x = c (for some number c), then the x-intercept is (c, 0).


What is the importance of the x-intercept?

What is the importance of the x-intercept What is the importance of the x-intercept What is the importance of the x-intercept


What is the slope intercept form of x equals 7?

The slope of the line x = 7 is not defined since the line is parallel to the y-axis. Also, for that reason, it cannot have an intercept on the y-axis. The equation of the line is simply: x = 7


Why the graph of a polynomial function with real coefficients must have a y-intercept but may have no x-intercept?

For a polynomial of the form y = p(x) (i.e., some polynomial function of x), having a y-intercept simply means that the polynomial is defined for x = 0 - and a polynomial is defined for any value of "x". As for the x-intercept: from left to right, a polynomial of even degree may come down, not quite reach zero, and then go back up again. A simple example is y = x2 + 1. Why is the situation for "x" and for "y" different? Well, the original equation is a polynomial in "x"; but if you solve for "x", you don't get a polynomial in "y".


Does a parabola have to have an x-intercept?

No, a parabola does not have to have an x-intercept. ex. -2(x-2)^2 - 4 is a parabola that has no x-intercept.


What is the x-intercept and the y-intercept of 4x-6y equals 12?

X-intercept=3 y-intercept=-2


What is the slope and y-intercept and x-intercept of y equals -x plus 1?

Slope is -1 y-intercept is 1 x-intercept is 1


What is the difference between the x- intercept and the y- intercept?

The y-intercept is where the line crosses the y-axis, and the x-intercept is where the line cross the x-axis


What is the slope of a line that has a y-intercept but no x-intercept?

A line with a y-intercept but no x-intercept will be a straight line parallel to the x axis. It will have a slope of zero.


What is the intercept for y equals x plus 10?

y - intercept = 10x - intercept = -10y- intercept: x = 0y = x + 10y = 0 + 10y = 10x - intercept: y = 0y = x + 100 = x + 10x + 10 = 0x = -10