3.1 Start Thinking. 3.1 Warm Up. 3.1 Cumulative Review Warm Up. Consider the equation y = x.

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1 3.1 Start Thinking Consider the equation =. Are there an values of that ou cannot substitute into the equation? If so, what are the? Are there an values of that ou cannot obtain as an answer? If so, what are the? 3.1 Warm Up In Eercises 1 9, use one coordinate plane to plot the points. 1. A (, ). B(, ) 3. C(, ). D(, ) 5. E( 7, ). F(, 1) 7. G( 1, 7) 8. H ( 8, ) 9. I ( 9, ) 3.1 Cumulative Review Warm Up Solve the inequalit. Graph the solution >. 7 m + 3. r 5 >. 1 w < 5. h j 1 + > p + p n 9 < 1 Copright Big Ideas Learning, LLC Algebra 1 73

2 Name Date 3.1 Practice A In Eercises 1 and, determine whether the relation is a function. Eplain. 1.. Input, 8 8 Output, Input, 8 Output, In Eercises 3 and, determine whether the graph represents a function. Eplain. 3.. In Eercises 5 and, find the domain and range of the function represented b the graph The function = represents the monthl cost (in dollars) of a group of members joining the fitness club. a. Identif the independent and dependent variables. b. Your group has enough mone for up to si members to join the fitness club. Find the domain and range of the function. In Eercises 8 and 9, determine whether the statement uses the word function in a wa that is mathematicall correct. Eplain our reasoning. 8. A function pairs each teacher with 3 students. 9. The cost of mailing the package is a function of the weight of the package. 7 Algebra 1 Copright Big Ideas Learning, LLC

3 Name Date 3.1 Practice B In Eercises 1 and, determine whether the relation is a function. Eplain. 1.. Input, Output, Input, 1 3 Output, In Eercises 3 and, determine whether the graph represents a function. Eplain. 3.. In Eercises 5 and, find the domain and range of the function represented b the graph The function = 18 represents the number of book raffle tickets and food raffle tickets ou bu at a club event. a. Solve the equation for. b. Make an input-output table to find ordered pairs for the function. c. Plot the ordered pairs in a coordinate plane. In Eercises 8 1, find the domain and range of the function. 8. = + 9. = = 3 Copright Big Ideas Learning, LLC Algebra 1 75

4 Name Date 3.1 Enrichment and Etension A Quadratic Function: The Diving Problem You are jumping off the 1-foot diving board at the local pool. You bounce up at feet per second and then drop toward the water. Your height h above the water, in terms of time t, follows the function shown. () ht = 1t + t + 1 a. Graph this function, with t on the horizontal ais. Fill in a table of values where the increments of time are tenths of a second. b. Eplain what the domain and range might be and wh. c. Eplain wh this situation is quadratic instead of linear. Give a graphical eplanation and a logical eplanation. d. Use the graph to determine the maimum height of our dive. e. Use the graph to determine when ou reach the maimum height of our dive. f. Use the graph to determine how long it takes ou to hit the water. g. Use the quadratic formula to prove our answer in part (f ). 7 Algebra 1 Copright Big Ideas Learning, LLC

5 Name Date 3.1 Puzzle Time What Has A Foot On Each End And One In The Middle? Write the letter of each answer in the bo containing the eercise number. Determine whether the relation is a function. 1. ( 8, 5 ), (, ), (, 9 ), (, ), (, 7). (, 3 ), ( 3, ), (, 7 ), ( 5, 1 ), (, 3) H. es I. no A. es B. no 3. ( 11,, ) ( 9,, ) ( 7, 3, ) ( 5, 3, ) ( 3, 3). ( 1, ), (, 1 ), ( 3, ), ( 3, 3 ), (, ) A. es B. no B. es C. no 5. ( 17, 3 ), (, ), ( 1, 1 ), (, ), ( 17, 3). (, 1, ) ( 1,, ) (,, ) ( 7, 8, ) ( 1, 1) C. es D. no K. es L. no Find the domain and range of the function represented b the graph S. D: T. D: Q. D: 3 R. D: < 3 R: R: R: 3 R: < 3 Use the following information to answer Eercises 9 and 1. The function t = 8j + represents the number of tomatoes t that our neighbor has left after making j jars of homemade salsa. 9. Identif the dependent variable. 1. Identif the independent variable. R. jars of salsa S. tomatoes Y. jars of salsa Z. tomatoes Copright Big Ideas Learning, LLC Algebra 1 77