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.
It is sometimes the point where the value inside the absolute function is zero.
That is a result of an absolute value equation. So an Absolute Value Graph
No.
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.
A one-to-one graph must pass both the horizontal and the vertical line test. That means that no x-value can have two y-values and no y-value can have two x-values. An example of a one-to-one function is a line. Things like parabolas and the graph of an absolute function cannot be one-to-one.
I
Absolute Value function
It is sometimes the point where the value inside the absolute function is zero.
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".
The letter of the alphabet of the absolute value function looks like a V. For this reason, it is a popular graph at Villanova University.
That is a result of an absolute value equation. So an Absolute Value Graph
The absolute value function returns the absolute value of a number.
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.
No.
The graph of an absolute-value function does not extend past the vertex because the vertex represents the minimum (or maximum, in the case of a downward-opening parabola) point of the graph. The absolute value ensures that all output values are non-negative (or non-positive), meaning that as you move away from the vertex in either direction, the values will either increase or decrease but never go below the vertex value. Consequently, the graph is V-shaped and reflects this property, making it impossible for the graph to extend beyond the vertex in the negative direction.
To graph absolute value functions on your Casio fx-9750GII, first, press the "MODE" button and select "Graph" mode. Then, input the absolute value function using the notation "abs(x)" or by using the "SHIFT" key followed by the "x" key to access the absolute value function. After entering your equation (e.g., y = abs(x - 2)), press the "EXE" button and then the "F1" key to graph it. You can adjust the viewing window if needed by pressing the "VIEW" button.
An absolute-value function