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What is the difference between x-intercepts of a function and zeros of a function?

Assuming it is a function of "x", those are two different names for the same thing.


The relationship between effort and load using a two- cordinate graph?

mwahh


When the graph of a quadratic function crosses the x axis twice the x coordinate of the vertex lies between the two x intercepts?

that's true


How would you use intercepts to find the vertex in a quadratic equation with two x intercepts?

The vertex must be half way between the two x intercepts


When the graph of a quadratic function crosses the x-axis twice the x-coordinate of the vertex lies between the two x-intercepts?

The x co-ordinate of a quadratic lies exactly halfway between the two x-intercepts, assuming they exist. Alternatively, the x co-ordinate can be found using the formula -B/(2A), when the function is in the form, y = Axx + Bx + C.


When the graph of a quadratic function crosses the x-axis twice the x-coordinate of the lies exactly halfway between the two x-intercepts?

Exactly halfway


What is the relationship between the vertex and the x intercepts?

In general, there is no relationship.


How do you graph this function y equals 1 plus x plus 3?

You find the intercepts on the x and y axis: First, sub in x=0, giving you y=4. Then sub in y=0, giving you x=-4. So your intercepts are (0,4) and (-4,0). Plot these 2 points, and draw a line between them (you can do this since your function is a straight line, not a curve).


How can I generate a declining function with constraints on the x and y intercepts so that the integral of the curve is constant?

The integral of a given function between given integration limits will always be a constant. The integral of a given function between variable limits - for example, from 0 to x - can only be a constant if the function is equal to zero everywhere.


When can finding the x and y intercepts help you graph a line more efficiently?

If it's a straight line, then that's all you need. Find the 'x' and 'y' intercepts,lay your ruler down between the two points, and draw your line.


How do parallel and perpendicular slopes compare or their y intercept?

There is no relationship between the slopes of parallel or perpendicular lines and their y-intercepts.


How do you find the y intercept of a scatter plot?

Measure the distance between the point where the line intercepts the Y axis and the origin