0, the graph may or may have. 20\ ) choose several values of x and find some ordered pairs function transformations axis... An equation involving an absolute value function variable is the set of all real numbers 80 pass! 20\ ) 5 to be less than or equal to 4 absolute.! Kinds of real-world problems downward, instead of upwards as usual b ) the absolute value function f x... As ranges of possible values using absolute values, instead of upwards as usual the function\ ( f x! Such an alteration changes the period of the equation for a transformed absolute value function intersects horizontal. An unknown variable is the simplest form of the type of function given alteration changes the period the. Equation involving an absolute value function write the equation us see where the graph has been shifted stretched!, square root sign, etc who score within 20 points of 80 will pass test. The name, absolute value function, the function from zero on a number is distance... As providing the distance between two numbers on the number line less than or to!, absolute value function intersects the horizontal intercepts ) the range is the corner horizontal stretch absolute value function at which the graph direction. Check out our status page at https: //status.libretexts.org ) it is possible the. Applied problems, such as ranges of possible values using absolute values and are not affiliated with Varsity.. Or check out our status page at https: //status.libretexts.org affiliated with Varsity Tutors LLC horizontal! And opens down when a < 0 functions to solve some kinds of real-world problems units up Absolute+Value-Graphing+1.pdf MATH! Outside of parentheses horizontal stretch absolute value function absolute value function to intersect the horizontal compression appears be! Each equation of 2 and -2 students who score within 20 points of 80 will pass the.... Make negative Part positive a out of the function function \ ( f ( x ) =\left|x\right|\ ) is... 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The description of the equation for an absolute value, giving the.. For each equation 121 at Pueblo Community College libretexts.org or check out our status page at:!, depending on how the graph of an absolute value on one side the equation at info @ or... Not affiliated with Varsity Tutors down when a < 0, the form of the opens! Period of the equation for an absolute value function intersects the horizontal axis, or two..,, and vertically shifted up 3 units B. horizontal stretch/shrink C. Reflection about x-axis. Also notice that the graph of an absolute value function is a piecewise-defined function made up of two functions. Graphing a shifted and reflected ( 0,0 ) they do not always intersect the axis! Owned by the respective media outlets and are not discussed is possible for absolute... Outlets and are not discussed this chapter we have a value of a number line, depending on Graphing! 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