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What is the role of the y-intercept in a function?
is shows the point where a graph crosses the y-axis
What are the points when a graph crosses x and y-axis?
A graph crosses the x-axis at points where the value of the function is zero, meaning the y-coordinate is zero (f(x) = 0). These points can be found by solving the equation of the function for when y = 0. The graph crosses the y-axis at the point where x is zero, which corresponds to the value of the function at that point (f(0)). Thus, the y-intercept is found by evaluating the function at x = 0.
What is the x value of the point where a graph crosses the x-axis?
It can be casually called the x intercept, but it/they is/are the root(s) of the function represented by the graph
What happens to the y-value of the function after the graph crosses the x-axis?
When the graph of a function crosses the x-axis, the y-value of the function changes from positive to negative or vice versa. Specifically, at the point where the graph crosses the x-axis, the y-value is zero. After crossing, if the graph continues upward, the y-value becomes positive; if it continues downward, the y-value becomes negative. This behavior indicates a change in the function's output relative to the x-axis.
What is the x value of the point where a graph crosses the x axis?
It is the x-coordinate which may also be called a root or zero of the function.
What is the role of the y-intercept in a function?
is shows the point where a graph crosses the y-axis
What is x intercept defined as?
The point at which a function crosses the x-axis.
What is the x value of the point where a graph crosses the x-axis?
It can be casually called the x intercept, but it/they is/are the root(s) of the function represented by the graph
What is the point at which a graph crosses the y-axis?
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.
What does it mean for a function when the graph of the derivative crosses the x-axis?
This means that the function has reached a local maximum or minimum. Since the graph of the derivative crosses the x-axis, then this means the derivative is zero at the point of intersection. When a derivative is equal to zero then the function has reached a "flat" spot for that instant. If the graph of the derivative crosses from positive x to negative x, then this indicates a local maximum. Likewise, if the graph of the derivative crosses from negative x to positive x then this indicates a local minimum.
What is a root in a polynomial graph?
A root is the value of the variable (usually, x) for which the polynomial is zero. Equivalently, a root is an x-value at which the graph crosses the x-axis.
What is the x value of the point where a graph crosses the x axis?
It is the x-coordinate which may also be called a root or zero of the function.
How is the function differentiable in graph?
If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.
What is the difference of x intercept and y intercept?
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.
What is the zero of a function and how does it relate to the functions graph?
A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.
Point where the graph of a line crosses the vertical axis?
The y intercept
What is the point where the graph of a line crosses the horizontal axis?
y-intercept
