Yes.
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.
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 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.
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.
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 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.