You may use your calculators to help you graph, but you must sketch it carefully on the grid -21-1 Function Yes -3 Function Ye x2 or No. Then, evaluate the graph at any specified domain value. Identify whether or not he gaph is a function. What is his average rate of descent between time 0 seconds and time 6 seconds? What was his average rate of descent between time 8.5 seconds and time 10 seconds? Over which interval does he descend faster? Describe how your graph in part a can also be used to find the interval during which he is descending fastest. Worksheet Piecewise Functions Algebra 2 Name: Part I. How would your graph change in observing the man following the same motion descending the ladder?į. The top of the ladder is at ground level (0 feet) and the base at the ladder is 10 feet below ground level. Worksheet by Kuta Software LLC Algebra 2/2 AB Graphing Piecewise Functions Name Date Period N \2v0y1O8k BKGutQaQ qSiobfItCwUaareR KLzLTCw.p r. Suppose the ladder is descending into the basement of the apartment. If you measured from the top of the man’s head instead (he is 6.2 feet tall), how would your graph change?Į. Graph the two linear equations on the same x-y plane below y x 4 y 2x 1 Notes Piecewise Functions If we want a function to behave differently depending on the x- values, we need a piecewise function. In your graph in part (a), what does a horizontal line segment represent in the graphing story?ĭ. Evaluate the function for the indicated values f(x) 3x 2 a. Each linear function is defined over an interval of time, represented on the horizontal axis. Your picture is an example of a graph of a piecewise linear function. Graph each of the following piecewise functions. Label your -axis and -axis appropriately and give a title for your graph.ī. Piecewise Functions Worksheet 1/2 Part I. Use straight line segments in your graph to model the elevation of the man over different time intervals. Draw your own graph for this graphing story. Graph the piecewise function and find the. Afterward drinking the water, he takes 1.5 seconds to descend to the ground and then he walks into the kitchen. Graph the piecewise function and find the domain and range: Domain: Range: 2. So, when x is equal to 10, sorry, when x. So this is going to be a line, a downward sloping line, and the easiest way I can think about graphing it is let's just plot the endpoints here, and then draw the line. From time 6 seconds to the 8.5 second mark, he drinks some water on the step 3 feet off the ground. When negative 10 is less than or equal to x, which is less than negative two, then our function is defined by negative 0.125x plus 4.75. At time 0 seconds, his shoes are at 10 feet above the floor, and at time 6 seconds, his shoes are at 3 feet. Let us see why is it called so.The graphing story shows a man climbing down a ladder that is 10 feet high. piecewise algebra precalculus kuta graphing linear trig homework worksheeto 9 min Graphing Piecewise Functions Worksheet With Answers Pdf 385026 views 4. The absolute value function is a very good example of a piecewise function. Step by step guide to piecewise functionĪ piecewise function is a function \(f(x)\) which has different definitions in different intervals of \(x\). The graph of a piecewise function has different parts that correspond to each of its definitions. The Piecewise function has different definitions depending on the amount of input, i.e., a piecewise function behaves differently for different inputs. Ratio, Proportion and Percentages Puzzles.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |