explain why a function has at most one y-intercept
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.
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.
No, it is not. The y-intercept is the point where a function is evaluated as x=0. The point symmetrical to that is the one the same distance from the origin along the y-axis. For example, in the function y = 3x + 2, the y=intercept is (0,2) and the point symmetrical to that is (0,-2) Also, the x-intercept is when y=0 (solving for x) ■
it is impossible for a linear function to not have a y-intercept
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.
explain why a function has at most one 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.
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.
X = 3 A vertical line not having a Y intercept.
in general, the y-intercept of the function f(X)= axb^x is the point__.
The y-intercept is the value of a function f when x is equal to zero. So, substitute 0 for x into the equation and find the value of y.
The x- and y-intercepts of a function are the points at which the graph of the function crosses respectively the x- and y-axis (ie. y=0 and x=0).