Section 3.6 Functions 281 105. Find f (0) and x if f (x) = 0 from the given graph. 12 4 –4 –2 2 x 8 4 –4 y Brian’s work: f (0) = 3 and f (5) = 0 106. Find f (0) and x if f (x) = 0 from the given table. Marla’s work: f (-3) = 0 and f (0) = 2 Calculate It! Input the function in a graphing calculator. Use both the TRACE and TABLE features to fi nd f (0) and x if f (x) = 0. 107. f (x) = 0.25x - 1.75 108. f (x) = -0.06x2 + 0.5x + 0.36 109. f (x) = u2x - 1u - 3 110. The table shows the points on the graph of a function. Determine which table shows a line that contains the points (0, -5) and (-2, 4). a. b. c. GROUP ACTIVITY ���������������������������������������������������������������� �������������������������������� 1. Go to http://www.google.com/publicdata?ds=uspopulation and select a state or expand the state to select a specific county. 2. After you make your selection, a graph will appear in the main window. Use your cursor to trace the graph to see the population for each year. Write two ordered pairs of the form (year, population) for the state or county that you have selected. 3. Use the two ordered pairs from step 2 to write a linear equation that models the population of the selected state/county. 4. What is the slope of the model? What does it mean in the context of the problem? 5. What is the y-intercept of the model? What does it mean in the context of the problem? 6. Use the model to predict the population of your selected state/county in the year 2020.
hendricks_beginning_algebra_1e_ch1_3
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