If the function is in this form:
y = mx + b
Then b is the y-intercept. For example if the function is y = 2x + 4 then the y-intercept is 4.
Yes. A straight line for example, such as y = x.
-6
Having one given point is not enough. A y-intercept is described as the point of intersection of a function or relation or line and the ordinate axis (or y-axis).Suppose a function intersects the y-axis at (0, 6), then 6 is the value of the y-intercept. Or if the line that passes through (5, 4) is parallel to x-axis, then y-intercept is 4; if it passes through the origin, then y-intercept is 0; if it is perpendicular to x-axis (or parallel to y-axis) there is not an y-intercept.
This is called the y-intercept and represents the value of the plotted function at x = 0.The place where the graph crosses the y axis is called the y intercept.
In the slope-intercept form you use the slope of the line and the y-intercept to the origin has a y-intersect of zero, b = 0, and represents a direct variation. All functions that can be written on the form f(x) = mx + b belong to the family of linear function.
it is impossible for a linear function to not have a y-intercept
explain why a function has at most one y-intercept
No, the graph of a polynomial function cannot have no y-intercept. A polynomial function is defined for all real numbers, and when you evaluate it at (x = 0), you get the y-intercept, which is the value of the function at that point. Thus, every polynomial function will intersect the y-axis at least once, ensuring it has a y-intercept.
The Y-Intercept of the cosine function is X = 0, Y = cosine(0) = 1.
The y-intercept is the value of the function (if it exists) when x = 0.
The function y = -1 has no x-intercept; its graph is a horizontal line with a y-intercept of -1.
No, the y-intercept is not the same as the absolute value parent function. The absolute value parent function, represented as ( f(x) = |x| ), has a vertex at the origin (0, 0), which serves as its y-intercept. While the absolute value function does have a specific y-intercept, the term "y-intercept" generally refers to the point where any function crosses the y-axis, which can vary depending on the function in question.
The y-intercept of a quadratic function can be easily identified in the standard form, (y = ax^2 + bx + c), where (c) represents the y-intercept. When (x = 0), the function simplifies to (y = c), directly giving the y-intercept. In contrast, the vertex form (y = a(x - h)^2 + k) does not explicitly show the y-intercept without further calculation.
The y-intercept is the value of the function when 'x' is zero. That is, it's the point at which the graph of the function intercepts (crosses) the y-axis. The x-intercept is the value of 'x' that makes the value of the function zero. That is, it's the point at which 'y' is zero, and the graph of the function intercepts the x-axis.
Y = 2.5X ( + 0 ) So, zero is the Y intercept of this function.
Yes.
X = 3 A vertical line not having a Y intercept.