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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.
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
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 derivative of the absolute value of x?
The function is called the signum function, or sign(x). It is equal to abs(x)/x
What is the maximum value that the graph of ycosx assume?
Both the function "cos x" and the function "sin x" have a maximum value of 1, and a minimum value of -1.
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".
What are the characteristics of the graph of the absolute value parent function?
The graph of the absolute value parent function, ( f(x) = |x| ), has a distinct V-shape that opens upwards. It is symmetric about the y-axis, meaning it is an even function. The vertex of the graph is at the origin (0, 0), and the graph consists of two linear pieces: one with a slope of 1 for ( x \geq 0 ) and another with a slope of -1 for ( x < 0 ). The function is continuous and has a range of ( [0, \infty) ).
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.
Are characteristics of the graph of the absolute value parent function check all that apply?
The graph of the absolute value parent function, ( f(x) = |x| ), has a V-shape with its vertex at the origin (0, 0). It is symmetric about the y-axis, indicating that it is an even function. The graph consists of two linear segments that extend infinitely in the positive y-direction, with a slope of 1 for ( x \geq 0 ) and a slope of -1 for ( x < 0 ). Additionally, it never dips below the x-axis, as absolute values are always non-negative.
How do you do absolute value functions on your Casio fx-9750GII Graphing Calculator?
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.
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
A value is in the domain of a function if there is an on the graph of the function at that x-value?
point
How do you find an absolute value equation from a graph?
To find an absolute value equation from a graph, first identify the vertex of the graph, which represents the point where the absolute value function changes direction. Then, determine the slope of the lines on either side of the vertex to find the coefficients. The general form of the absolute value equation is ( y = a |x - h| + k ), where ((h, k)) is the vertex and (a) indicates the steepness and direction of the graph. Finally, use additional points on the graph to solve for (a) if needed.
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.
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).
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
