What if the y-intercept is the same
If the y-intercepts are the same, the two equations represent the same line and there are INFINITELY MANY SOLUTIONS. 3b. If the y-intercepts are different, the two equations are distinct parallel lines and have NO SOLUTION.
Is it a function if it has the same Y
A function is a special kind of relation. In a function, there can only be one x-value for each y-value. There can be duplicate y-values but not duplicate x-values in a function.
Can a function have two y-intercepts
Although a function can have many x-intercepts, a function can only have one y-intercept. This is because a function must pass the vertical line test in order for it to be a function; if a vertical line intersects the graph of a relation at more than one point, it is not a function.
Can a function have more than one y-intercept True or false
False, since a function can only have at most one y-intercept. If a graph has more than one y-intercept, then the graph will not pass the Vertical Line Test, and thus it can't be a function.
What happens if two equations have the same slope and y-intercept
These two equations have the same slope and the same y-intercept. These equations create one line. This system is an inconsistent system because it has an infinite number of solutions.
Does the y-intercept matter
The y-intercept of a line is the value of y where the line crosses the y-axis. In other words, it is the value of y when the value of x is equal to 0. Sometimes this has true meaning for the model that the line provides, but other times it is meaningless.
Can a function have the same Y output
Unless your definition of "function" is quite unusual, the answer is no, just by definition. This is legit, but it's a so called relation, not a function. By (informal) definition functions are a special kind of relations allowing precisely one output for each input.
Can a function have the same Y value twice
Yes, for example, all surjective functions f, meaning that for every element y in their codomain Y there exists at least one element x in the domain X such that f(x) = y. The element x need not be unique, several different elements x of X may map to the same element y of Y. Example: f(x) = sin(x). y=sin(x)=0.
How many y-intercepts can a equation have
The y -intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test , a function can have at most one y -intercept . )
Is there only one y-intercept for every line
Yes every lines have only one x-intercepts and y-intercepts.
Can the y-intercept of two parallel lines be the same
Parallel lines have the same slope and different y-intercepts. Lines that are parallel to each other will never intersect. For example, the figure below shows the graphs of various lines with the same slope, m=2 . Parallel lines have slopes that are the same.
Can two lines be parallel if they have the same y-intercept
Note that two lines are parallel if their slopes are equal and they have different y-intercepts.
Is the y-intercept always meaningful
The y-intercept of a line is the value of y where the line crosses the y-axis. In other words, it is the value of y when the value of x is equal to 0. Sometimes this has true meaning for the model that the line provides, but other times it is meaningless.
What are the rules for y-intercept
To find the y-intercept from a quadratic equation, substitute 0 as the value for x and solve. The y-intercept is always equal to the value of c in the equation.
Can a function have repeated outputs
By definition, the inputs in a function have only one output.
Can you have a repeating range in a function
A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it. y-values can be repeated.
What are the rules for finding y-intercept
When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable. To find y-intercept: set x = 0 and solve for y. The point will be (0, y). To find x-intercept: set y = 0 and solve for x.
Do all linear functions have y-intercepts
All linear functions cross the y-axis and therefore have y-intercepts. (Note: A vertical line parallel to the y-axis does not have a y-intercept, but it is not a function.)
Can two different lines have the same y-intercept
Answer and Explanation:
Yes, two different linear functions can have the same y-intercept.
What are the rules for the y-intercept
To find y-intercept: set x = 0 and solve for y. The point will be (0, y). To find x-intercept: set y = 0 and solve for x. The point will be (x, 0).
Can 2 perpendicular lines have the same y-intercept
If the two lines have the same slopes and different y-intercepts, they are parallel lines. If the two lines have slopes that are opposite reciprocals of each other, then the lines are perpendicular (regardless of y-intercepts).
What happens if two lines have the same slope and y-intercept
These two equations have the same slope and the same y-intercept. These equations create one line. This system is an inconsistent system because it has an infinite number of solutions.
Do parallel lines have the same y-intercept but different slopes
In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.
Why is the y-intercept not statistically meaningful
In this model, the intercept is not always meaningful. Since the intercept is the mean of Y when all predictors equals zero, the mean is only useful if every X in the model actually has some values of zero.
How many y-intercepts can a line have
one y -intercept
The y -intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test , a function can have at most one y -intercept . )
