Worksheet Piecewise Functions 10) write a rule for the function shown. f (x) x x , x x , x . create your own worksheets like this one with infinite precalculus. free trial available at kutasoftware . Worksheet by kuta software llc algebra 1b 8.13 piecewise functions name id: 1 date period ©o r2[0y2r3u qkvugtvay asvo[fbtyweaorrey plaldca.l a wa^ltlb grvi gph\ttsp gr]evs^ebrvvxekds. 1 sketch the graph of each function. 1) f (x) = {6,x £ 4 x 3,x > 4 x y 8 6 4 22468 8 6 4 2 2 4 6 8 2) f (x) = { 1,x < 4.
Piecewise Function Worksheets Piecewise functions ws. evaluate the function for the given value of x. match the piecewise function with its graph. carefully graph each of the following. identify whether or not he graph is a function. then, evaluate the graph at any specified domain value. you may use your calculators to help you graph, but you must sketch it carefully on. Graphing piecewise functions both of the following notations can be used to describe a piecewise function over the function’s domain: f(x) = ¯ ® 5 2x [2,6] [ 5,2) if if or f(x) = ,2 6, 5 2 d d d x x 3. complete the following table of values for the piecewise function over the given domain. x f(x) 5 3 0 1 1.7 1.9 2 2.2 4 6 4. Sully’s blood pressure starts at 90 and rises 5 points every hour for the first 4 hours. sully chills out for lunch from 12 1 and maintains a cool 110 blood pressure. last period of the day hits from 1 3 and sully’s blood pressure rises from 110 at 10 points per hour. 2 points per hour until his 8 o’clock bedtime. 5. Writing a piecewise function write a piecewise function for the graph. solution each “piece” of the function is linear. left piece when x < 0, the graph is the line given by y = x 3. right piece when x ≥ 0, the graph is the line given by y = 2x − 1. so, a piecewise function for the graph is f(x) = { x 3, 2x − 1, if x < 0. if x ≥ 0.
Evaluating Piecewise Functions Worksheet Englishworksheet My Id Sully’s blood pressure starts at 90 and rises 5 points every hour for the first 4 hours. sully chills out for lunch from 12 1 and maintains a cool 110 blood pressure. last period of the day hits from 1 3 and sully’s blood pressure rises from 110 at 10 points per hour. 2 points per hour until his 8 o’clock bedtime. 5. Writing a piecewise function write a piecewise function for the graph. solution each “piece” of the function is linear. left piece when x < 0, the graph is the line given by y = x 3. right piece when x ≥ 0, the graph is the line given by y = 2x − 1. so, a piecewise function for the graph is f(x) = { x 3, 2x − 1, if x < 0. if x ≥ 0. Exercise #1 consider the function graphed to the right. a. what type of function is graphed over the interval b. what type of function is graphed over the interval c. write this function defined as a piecewise function. d. over what interval is the function decreasing? exercise #2 consider the function defined below. , a. Part i. graph each of the following piecewise functions. identify any points of discontinuity. 5. 6. part ii. evaluate the piecewise function for the given values of. x.
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