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Q: How do you graph the function of the absolute value of x?
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What do the absolute value of a function do to the graph of that function?

The absolute value of a function changes the original function by ensuring that any negative y values will in essence be positive. For instance, the function y = absolute value (x) will yield the value +1 when x equals -1. Graphically, this function will look like a "V".


Which statement holds true for absolute value functions The absolute value determines the direction in which the graph opens. The coefficient determines the line along which the graph is symmetrical.?

Neither statement is true. The graph of the absolute value of a function which is always non-negative will be the same as that of the original function and this need not open in any direction. Also, the graph of y = abs[x*(x-1)*(x+2)] is not symmetrical so there is no coefficient which will determine a line of symmetry.


What does function of x equals function of -x mean?

It means that the value of the function at any point "x" is the same as the value of the function at the negative of "x". The graph of the function is thus symmetrical around the y-axis. Examples of such functions are the absolute value, the cosine function, and the function defined by y = x2.


A value is in the domain of a function if there is an on the graph of the function at that x-value?

point


A value is in the domain of a function if there is a what on the graph of the function at that x-value?

points


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).


How do the slopes of the two parts of an absolute value function compare?

the graph of y = |x| (absolute value of x) looks like a V with the point of the V at the origin. When x is negative (left half of graph), the line y = -x coincides with |x| so this half has a slope of -1. When x is positive (right half of graph), the line y = x coincides with |x| so this half has a slope of +1.


A value is in the domain of a function if there is a(n) on the graph of the function at that x-value.?

point


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.


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.


A value is in the domain of a function if there is a times n on the graph at that x-value?

point


How do you graph an absolute value function?

This would be graphed the same way as any other function, except that any values which are normally drawn below the x-axis are instead reflected around it.