Absolute Value Functions And Graphs Math

If it s positive it s equal to the number.

Absolute value functions and graphs math. Solve an absolute value equation using the following steps. If the number is negative then the absolute value is its opposite. The graph of the absolute value function f x x is similar to the graph of f x x except that the negative half of the graph is reflected over the x axis. For this reason graphs of absolute value functions tend not to look quite like the graphs of linear functions that you ve already studied.

Zero absolute value is zero. The graph looks like a v with its vertex at 0 0. So on and so forth. Graphing the absolute value function.

Its domain is the real numbers. Solving absolute value equations graphing absolute value functions solving absolute value inequalities our mission is to provide a free world class education to anyone anywhere. Absolute value equations are equations where the variable is within an absolute value operator like x 5 9. Because absolute value doesn t care about the sign you can effectively just remove the negative on the 1 2.

The graph opens up if a 0 and opens down when a 0. Also if a is negative then the graph opens downward instead of upwards as usual. However because of how absolute values behave it is important to include negative inputs in your t chart when graphing absolute value functions. F x a x h k.

Math explained in easy language plus puzzles games quizzes worksheets and a forum. If you take x is equal to negative two the absolute value of that is going to be two. For absolute value equations multiplied by a constant for example y a x if 0 a 1 then the graph is compressed and if a 1 it is stretched. Hide ads about ads.

Get the absolve value expression by itself. One absolute value is one. Set up two equations and solve them separately. Instructor this right over here is the graph of y is equal to absolute value of x which you might be familiar with.

F x x it makes a right angle at 0 0 it is an even function. Now that the equation has been simplified to y 1 2 x 6 10 you can get to graphing. When a is negative the v shape graph opens downward and the vertex is the maximum. This is the absolute value function.

Abs x this is its graph. Its slope is m 1 on the right side of the vertex and m 1 on the left side of the vertex. The general form of the absolute value function is. The challenge is that the absolute value of a number depends on the number s sign.

Y 1 2 x 6 10. When a is positive the v shape graph opens upward and the vertex is a minimum. Negative one absolute value is one. Now you re taking the absolute value of something x 6 times a negative.

Taking the absolute value of a negative number makes it positive. F x x it is also sometimes written.