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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 test to determine if a graph is a function is?

A graph is represents a function if for every value x, there is at most one value of y = f(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.


How do you graph functions?

Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.


Why use slopes?

The slope of a graph provides general information about a graph. It tells you how much the y value of the graph increases (or decreases, if the slope is negative) for a given increase in x value. if you look at the general equation of a graph y = a x + b the value "a" represents the slope and the "b" value represents the value of y when x = 0. When the graph is not a straight line, the discussion gets more complicated, however the slope still describes changes in the value of the graph (you have to use calculus for this situation.)

Related Questions

What does the y intercept have to do with the graph?

The y-intercept on the graph shows where the graph crosses the y-axis. The value is always the value of y at that point, because x is always equal to zero.


What is the point at which a graph intersects the y-axis?

A graph intersects the y-axis at the y-intercept; its x value is zero.


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 test to determine if a graph is a function is?

A graph is represents a function if for every value x, there is at most one value of y = f(x).


When Santana is plotting points on a graph. The ratio of y y -value to x x -value is 3 3 to 4 4 for each point. What will be the x x -value of a point with a y y -value of 12 12?

It will be 16.


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.


How do you graph functions?

Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.


Why use slopes?

The slope of a graph provides general information about a graph. It tells you how much the y value of the graph increases (or decreases, if the slope is negative) for a given increase in x value. if you look at the general equation of a graph y = a x + b the value "a" represents the slope and the "b" value represents the value of y when x = 0. When the graph is not a straight line, the discussion gets more complicated, however the slope still describes changes in the value of the graph (you have to use calculus for this situation.)


The of a graph is the point where the y-coordinate is 0.?

The x-intercept of a graph is the point where the y-coordinate is 0. It represents the value of x at which the graph intersects the x-axis. To find the x-intercept, you can set the equation of the graph equal to zero and solve for x.


What describes how to translate the graph y x to obtain the graph of y x - 6?

To translate the graph y = x to the graph of y = x - 6, shift the graph of y = x down 6 units.


Translate two units down from the graph y equals the absolute value of x?

y = |x| - 2


When plotting points on a graph which comes first y number or x number?

Traditionally, ordered pairs are given with the x value first and the y value second: (x,y).