… Worksheet by Kuta Software LLC Function Notation Name_____ ©c \2W0T2N0a MKNuEtvaa eSsobfUtEwoaNr[e^ `LdLyCT.b z aAqlgl[ oroiZgDhytjsc IrSeFsceArbvReHdf.-1-Evaluate each function. SECTIO N 7-1 Completing T-Tables A T-tabU is a table used to determine values for x and y that will make an equation true. Solve real-life problems using function notation. b. You can use the letter f to name this function and then use function notation to express it.Just replace y with f(x). Determine if the relation is a function and if it is a one-to-one function. Introduce function notation to represent a function that takes as input the name of a month, and gives as output the number of days in that month. Imagine drawing vertical lines through the graph. 8. Justify your answer. ©X 12 O0G1K2n AKXuotZa p sSGo6f1t0w da tr 2eN JLALWCk.2 L EAJl7ll rqi 3g KhKtqs L 6rpe 2sYewr tv 5e 2d3. The function below determines how many people have swine where t = time in days and S = the number of people in thousands. Function Notation x is an independent variable • Y is the dependent variable because its value depends on the given x‐value (Note: In function notation, the parentheses do not mean multiplication.) Identify each and expl in. S(t) 9t 4 a. 1) f (t) = 2t - 2; Find f (0) 2) k (a) = 4a - 1; Find k (10) 3) h (x) = 2x + 4; Find h (-1) 4) h (n) = 2n - 4; Find h (-5) 5) g (x) = -x + 2; Find g (-3) 6) g The number of days in a month is a function of the name of the month, so if we name the function . 5. If it is a function, give the domain and the range. Using Function Notation to Evaluate and Interpret You know that a linear function can be written in the form y = mx + b. Use function notation to solve and graph functions. 7. What value(s) of x in the relation below would create a set of ordered pairs that is not a function? Find S(4). Swine flu is attacking Porkopolis. Let g(x) = −7x+4.Find the following: a.%%g(5 ) b.%%g(2) c.%%g(1 ) d.%%g(0) 6. Use function notation to evaluate and interpret functions. f, we could write “days = f (month)” or . _ 5—4=-3—2—11 2345 2-3 4-5 10. Notes: Function Notation The equation y = 9 – 4x represents a function. Evaluate the following expressions given the functions below: ( ... Function notation Worksheet Author: Then substitute vaiues for x and solve for y. You read f(x) as “f of x,” which means “the output value of the function f for the input value x.” 1. D d OMla fd BeM ZwsiNtKhr BI cn wf6i In pibtXep 1Afl kg Ve6bKr WaM D2K.P Worksheet by Kuta Software LLC Let f(x) = 3x2 −1. Find an equation of a linear function given h(1) = 6 and h(4) = –3. 2 – Functions Function Notation and Evaluating Functions NAME:_____ Objective: Students will be able to calculate the value of a function given an equation or graph. Decide whether the relation is a function. Evaluate the function when x x x 3, 0, and 2. 9. To complete a T-table, rewrite the equation so that y equals an expression. 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