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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.
- Inverse of a Function
The inverse of a function f is denoted by f-1 and it exists...
- Algebraic Expression
To simplify an algebraic expression, we just combine the...
- Inverse of a Function
Solving an Absolute Value Equation. Now that we can graph an absolute value function, we will learn how to solve an absolute value equation. To solve an equation such as 8 = |2x − 6|, we notice that the absolute value will be equal to 8 if the quantity inside the absolute value is 8 or -8.
We can graph any absolute value equation of the form y=k|x-a|+h by thinking about function transformations (horizontal shifts, vertical shifts, reflections, and scalings). Video transcript - [Instructor] So we're asked to graph f of x is equal to two times the absolute value of x plus three, plus two.
2 sty 2021 · Given an absolute value function, solve for the set of inputs where the output is positive (or negative). Set the function equal to zero, and solve for the boundary points of the solution set. Use test points or a graph to determine where the function’s output is positive or negative.
We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic...
3 lut 2021 · There are a few ways to describe what is meant by the absolute value |x| of a real number x. The long and short of both of these procedures is that |x| takes negative real numbers and assigns them …
1. How do you solve an absolute value equation? 2. How can you tell whether an absolute value function has two x-intercepts without graphing the function? 3. When solving an absolute value function, the isolated absolute value term is equal to a negative number. What does that tell you about the graph of the absolute value function? 4.
