What is the maximum number of y-intercepts
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 . )
Can you have 2 y-intercepts
In answering these, remember that by definition, a function can only have one output (y-value) for each input (x-value). A function having more than one y-intercept would violate this, since it would mean that there are two outputs for x=0. Therefore, it is not possible for a function to have more than one y-intercept.
Can a function have more than 1 y-intercept
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.
How many intercepts can a function have
A graph can have many intercepts, one intercept, or no intercepts. If the graph is the graph of a function then it has at most one -intercept, since the graph of a function must pass the vertical line test and the y-axis is one such vertical line.
How many Y intercepts does every polynomial have
As with all functions, the y-intercept is the point at which the graph intersects the vertical axis. The point corresponds to the coordinate pair in which the input value is zero. Because a polynomial is a function, only one output value corresponds to each input value so there can be only one y-intercept (0,a0).
How many possible Y intercepts can an absolute value function have
The graph of an absolute value function will have a vertical intercept when the input is zero. The graph may or may not have horizontal intercepts, depending on how the graph has been shifted and reflected. It is possible for the absolute value function to have zero, one, or two horizontal intercepts.
Can a quadratic function have 2 Y-intercepts
The y-intercept is where the x-value is zero. We find the y-intercept by substituting in . This is where the graph of the function crosses the y-axis. For any function, there will be only one y-intercept.
Can you have 2 of the same Y values
To put it concisely: 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. When there is one and only one y-value for each x-value (no duplicates in y), it is called a one-to-one function.
Can a function have more than 1 Y value
To put it concisely: 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. When there is one and only one y-value for each x-value (no duplicates in y), it is called a one-to-one function.
Is the y-intercept always 1
The Y intercept of a straight line is simply where the line crosses the Y axis. In the above diagram the line crosses the Y axis at 1. The Y intercept is equal to 1 and the point is written as (0,1). Notice that for the y-intercept the x-coordinate of the point is always zero..
How many Y intercepts can a rational function have
one y y y-intercept
Finding the y-intercept of a Rational Function
A function can have at most one y y y-intercept, as it can have at most one value of f ( 0 ) f(0) f(0).
How many Y intercepts can an absolute value function have
It is possible for the absolute value function to have zero, one, or two horizontal intercepts.
How many Y intercepts can a parabola have
It is easy to find the y-intercept of a parabola — it always has one — by putting x=0. Not all parabolas, however, have x-intercepts. When x-intercepts exist, they are obtained by putting y=0 and solving the resulting quadratic equation.
How many Y values can a function have
To put it concisely: 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. When there is one and only one y-value for each x-value (no duplicates in y), it is called a one-to-one function.
Is there a limit for absolute value function
Limits with Absolute Values
Limits involving absolute values often involve breaking things into cases. Remember that |f(x)|={f(x), if f(x)≥0;−f(x), if f(x)≤0. By studying these cases separately, we can often get a good picture of what a function is doing just to the left of x=a, and just to the right of x=a.
Why can’t a function have 2 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 there be 2 Y in a function
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.
Why can’t a function have 2 y values
"In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output". In mathematics, the definition of a function requires that any single input may only have one output.
What happens if two equations have the same y-intercept
If the two lines have the same slope but different y-intercepts, then they are parallel lines, and they will never intersect. Therefore, we can say that the system of equations has no solutions. If the two lines have the same slope and the same y-intercept, then they will completely overlap—they are the same line!.
Can a function have 2 Ys
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 more than 1 return
You can have more than one "return" statement, and only one will run for a particular call of the function. There may be conditional tests that would cause a different one to run during a different call.
Can you have a y-intercept of 0
If the y-intercept is equal to zero, this means that the line must pass through the origin (0,0).
Can the y-intercept be any number
The y intercept, by definition, is one number, the point where the straight line being described, crosses the y axis. At the y axis, the value of x is zero, so the appropriate ordered pair of the point that represents the y intercept is (0,Y).
How many intercepts can a polynomial have
Higher degree
| Type of polynomial | Number of x-intercepts | Number of turning points |
|---|---|---|
| linear | 1 | 0 |
| quadratic | from 0 to 2 | 1 |
| cubic | from 1 to 3 | 0 or 2 |
| quartic | from 0 to 4 | 1 or 3 |
What is the maximum y value reached by the function
If you have the graph, or can draw the graph, the maximum is just the y value at the vertex of the graph. If you are unable to draw a graph, there are formulas you can use to find the maximum. If you are given the formula y = ax2 + bx + c, then you can find the maximum value using the formula max = c – (b2 / 4a).
