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Regents Exam Questions CC.F.IF.9: Comparing Functions Page 1 www.jmap.org Name: __________________________________ CC.F.IF.9: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum. 1 Which quadratic function has the largest maximum? 1) 2) 2 The graph representing a function is shown below. 3) 4) Which function has a minimum that is less than the one shown in the graph? 1) 2) 3) 4) Regents Exam Questions CC.F.IF.9: Comparing Functions Page 2 www.jmap.org Name: __________________________________ 3 Given the following quadratic functions: 4 Let f be the function represented by the graph below. and Which statement about these functions is true? 1) Over the interval , the average rate of change for is less than that for . 2) The y-intercept of is greater than the yintercept for . 3) The function has a greater maximum value than . 4) The sum of the roots of is greater than the sum of the roots of . Let g be a function such that . Determine which function has the larger maximum value. Justify your answer. Regents Exam Questions CC.F.IF.9: Comparing Functions www.jmap.org 1 ANS: 3 Maximum of REF: 061514ai 2 ANS: 3 3 ANS: 4 1) Maximum of REF: 011622ai 2) 3) 4) REF: 081521ai 4 ANS: g. The maximum of f is 6. For g, the maximum is 11. REF: 081429ai