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Why the absolute value of a number is always non negative a can equal -a?
The absolute value of a number measures its distance from zero on the number line, regardless of direction. Since distance cannot be negative, the absolute value is always non-negative. For any real number ( a ), the statement ( a = -a ) only holds true if ( a = 0 ); otherwise, the absolute value is defined as ( |a| = a ) for non-negative ( a ), or ( |a| = -a ) for negative ( a ), ensuring it remains non-negative.
How are piecewise functions related to step functions and absolute value functions?
A piecewise function is a function defined by two or more equations. A step functions is a piecewise function defined by a constant value over each part of its domain. You can write absolute value functions and step functions as piecewise functions so they're easier to graph.
What is the absolute value of -19 plus 19 equals 0?
A false statement.
The absolute value of a number is always postive or 0?
Yes; your statement is correct.
How are linear and absolute value functions similar?
Linear and absolute value functions are similar in that both types of functions can be expressed in a mathematical form and represent straight lines on a graph. They both exhibit a consistent rate of change: linear functions have a constant slope, while absolute value functions have a V-shaped graph that consists of two linear segments meeting at a vertex. Additionally, both functions can be used to model real-world situations, though their behaviors differ in how they respond to changes in their input values.
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.
Is absolute value of speedvelocity a true statement?
yes
The absolute valve of -9 is larger than the absolute value of 6?
The statement is true.
How are piecewise functions related to step functions and absolute value functions?
A piecewise function is a function defined by two or more equations. A step functions is a piecewise function defined by a constant value over each part of its domain. You can write absolute value functions and step functions as piecewise functions so they're easier to graph.
Where is the vertex for the parent of the absolute value functions?
Because it farts
What are absolute value and order in math?
Order has to do with the relation of one number to another. Statements like a>b is an ordered statement. Absolute value is the distance that a number is from 0. So the absolute value of 3 is 3, and the absolute value of -3 is 3.
The absolute value of numbers is always non-negative?
The statement is true.
What is a mathematical statement of equality between two expressions?
absolute value
The absolute value of a number is always positve or 0?
The statement is correct.
How do you use transformations to help graph absolute value functions?
Linear
What is the absolute value of -19 plus 19 equals 0?
A false statement.
The absolute value of a number is always postive or 0?
Yes; your statement is correct.
