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Q: What is the graph of a function if the discrimanent is zero?
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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.


Why do we set the denominator to zero to graph a rational function?

We set the denominator to zero to find the singularities: points where the graph is undefined.


What are integres?

The integral zeros of a function are integers for which the value of the function is zero, or where the graph of the function crosses the horizontal axis.


Where the graph of a function equals the value zero?

you have to first find the derivative of the original function. You then make the derivative equal to zero and solve for x.


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 are integral zeros?

The integral zeros of a function are integers for which the value of the function is zero, or where the graph of the function crosses the horizontal axis.


Why do you equate the equation to zero?

Not all equations are equated to zero, but usually we set a function equal to zero if we want to find its x intercepts, or where the graph of the function crosses the x axis.


What is the definition for the zero of a polynomial function?

The zero of a polynomial in the variable x, is a value of x for which the polynomial is zero. It is a value where the graph of the polynomial intersects the x-axis.


How do you figure out the starting point of a distance vs time graph when given the velocity vs time graph and a function?

To find the starting point of a distance vs time graph from a velocity vs time graph and a function, you would integrate the velocity function to find the displacement function. The starting point of the distance vs time graph corresponds to the initial displacement obtained from the displaced function.


Is f(x) a function?

The zero of a f (function) is an x-value that corresponds to where the y-value is zero on the functions graph or the x-intercepts. Functions can have multiple zeroes or no real zeroes at all, depending on the equation.


What is x intercept defined as?

The x-intercept is the point at which a graph or function intersects the x-axis. It is the value of x when y is equal to zero on the graph.


How many times will the graph of a quadratic function cross or touch the x axis if the discriminant is zero?

Once.