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An absolute value function is a function in algebra where the variable is inside the absolute value bars. This function is also known as the modulus function and the most commonly used form of the absolute value function is f (x) = |x|, where x is a real number.
Course: Algebra 1 > Unit 10. Lesson 1: Graphs of absolute value functions. Shifting absolute value graphs. Shift absolute value graphs. Scaling & reflecting absolute value functions: equation. Scaling & reflecting absolute value functions: graph. Scale & reflect absolute value graphs. Graphing absolute value functions.
Understanding Absolute Value. Recall that in its basic form f(x) = | x |, the absolute value function, is one of our toolkit functions. The absolute value function is commonly thought of as providing the distance the number is from zero on a number line.
The absolute value, as "distance from zero", is used to define the absolute difference between arbitrary real numbers, the standard metric on the real numbers.
Absolute Value Function. This is the Absolute Value Function: f (x) = |x|. It is also sometimes written: abs (x) This is its graph: f (x) = |x|. It makes a right angle at (0,0) It is an even function. Its Domain is the Real Numbers: Its Range is the Non-Negative Real Numbers: [0, +∞) Are you absolutely positive? Yes! Except when I am zero.
The absolute value function is commonly thought of as providing the distance the number is from zero on a number line. Algebraically, for whatever the input value is, the output is the value without regard to sign. Knowing this, we can use absolute value functions to solve some kinds of real-world problems.
Understanding Absolute Value. Recall that in its basic form the absolute value function, is one of our toolkit functions. The absolute value function is commonly thought of as providing the distance the number is from zero on a number line.