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On the Cartesian (x-y) plane, draw two 45-degree lines from the origin
opening to the right. One slopes up, the other slopes down.
|y| < x is the equation of the region between the two 45-degree lines,
but not including points that are on the lines.
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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.
Is x less than or equal to the absolute value of x?
It depents from the value of x.If x>0 then, |x|=xIf x
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".
Why For x less than 0 the absolute value of x equals negative x please explain?
That is how the absolute value is defined. For x < 0 the value of x is negative (by definition). Therefore, the value of negative x is positive (negative of a negative). So abs(x) = -x when x < 0
Choose the absolute value equation or inequality whose solution matches the graph -9 and 9 are plotted closed circle on the graph. Is it x equals 9 or x equals -9 or x greater than or equal to 9?
x=9
How do you graph the function of the absolute value of x?
I
How do you find the absolute value of something?
If a number is not less than zero then that is its absolute value. If a number is less than zero, its negative is its absolute value. So, if |x| denotes the absolute value of x, then |x| = -x for x<0 [since if x<0 then -x>0] and |x| = x for x>= 0
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.
Translate two units down from the graph y equals the absolute value of x?
y = |x| - 2
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 a graph for absolute value?
Go to the Wolfram Alpha site and type the following in the input box: |x|
How do you graph the absolute value of x is less than or equal to 4?
use a line graph. Place a solid dot at 4. Shade the entire region to the left of 4.x is Less than shade Left.* * * * * The above answer is so very wrong - it has missed out the key word "absolute".Use a line graph. Put a solid dot at -4 and another solid dot at +4 and join them. Every point on the line (including the two end points) is the graph.
What is the absolute value of the opposite of x?
The absolute value of the opposite of x is x. The absolute value is the number's distance from zero on a number line. Distance can not be negative, so basically, to find the absolute value of a number you just need to make it positive. The opposite of x is -x. |-x|=x - you make the x positive Of course, if x, to begin with, represents a negative (less than zero) number than the absolute value would be -x. For example if x=-3, the opposite value of x would be 3 and the absolute value of x would also be 3 which happens to be -x.
Is the absolute value of an integer the same as the opposite of that integer?
No. The absolute value of any number is the non-negative value of that number.So, the absolute value of a number X, which is greater than or equal to 0, is X.The absolute value of a number X, which is less than 0, is -X.Note that, in the second case, X < 0 implies that -X > 0.
Is x less than or equal to the absolute value of x?
It depents from the value of x.If x>0 then, |x|=xIf x
What is the absolute value of -19?
The absolute value of 19 is 19. If x is positive , absolute x equals x.
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".
