University:
High School
Course:
High School Algebra
Academic year:

2020
Views:

176

Pages:

2
Author:

xx1tiffxx2c

Function Notation In your own words, write the meaning of each vocabulary term. f(x) = 3x + 1 f(x) = 7 tells me: if I plug in 2 in the f(x)-function, then I will get an output of 7 Extra Practice In Exercises 1-6, evaluate the function when x = -4, 0, and 2. f(x) = -x + 4 f(-4) = -(-4) + 4 = 8 f(0) = -(0) + 4 = 4 f(2) = -(2) + 4 = 2 g(x) = 5x g(-4) = 5(-4) = -20 g(0) = 5(0) = 0 g(2) = 5(2) = 10 h(x) = 7 - 2x h(-4) = 7 - 2(-4) = 7 + 8 = 15 h(0) = 7 - 2(0) = 7 h(2) = 7 - 2(2) = 3 s(x) = 12 - 0.25x s(-4) = 12 - 0.25(-4) = 12 + 1 = 13 s(0) = 12 - 0.25(0) = 12 s(2) = 12 - 0.25(2) = 12 - 0.5 = 11.5 t(x) = 6 + 3x - 2 t(-4) = 6 + 3(-4) - 2 = 6 - 12 - 2 = -8 t(0) = 6 + 3(0) - 2 = 6 + 0 - 2 = 4 t(2) = 6 + 3(2) - 2 = 6 + 6 - 2 = 10 u(x) = -2 - 2x + 7 u(-4) = -2 - 2(-4) + 7 = -2 + 8 + 7 = 13 u(0) = -2 - 2(0) + 7 = -2 + 0 + 7 = 5 u(2) = -2 - 2(2) + 7 = -2 - 4 + 7 = 1 Let n(t) be the number of DVDs you have in your collection after t trips to the video store. Explain the meaning of each statement. 1 In Exercises 8-11, find the value of x so that the function has the given value. b(x) = 3x + 1; b(x) = 20 -20 = 3x + 1 -21 = 3x -7 = x r(x) = 4x - 3; r(x) = 33 33 = 4x - 3 36 = 4x 9 = x m(x) = -3/5x - 4; m(x) = 2 2 = -3/5x - 4 6 = -3/5x -10 = x w(x) = 5/6x - 3; w(x) = -18 -18 = 5/6x - 3 -15 = 5/6x -18 = x In Exercises 12 and 13, graph the linear function. s(x) = 1/2x - 2 | x | -4 | -2 | 0 | 2 | 4 | |---|---|---|---|---|---| | s(x) | -4 | -3 | -2 | -1 | 0 | [Graph of the line s(x) = 1/2x - 2 is shown] t(x) = 1 - 2x | x | -2 | -1 | 0 | 1 | 2 | |---|---|---|---|---|---| | t(x) | 5 | 3 | 1 | -1 | -3 | [Graph of the line t(x) = 1 - 2x is shown] The function B(m) = 50m + 150 represents the balance (in dollars) in your savings account after m months. The function F(m) = 40m + 150 represents the balance in your friend's savings account. Who has the better savings plan? Explain. Month Balance 2 $330 4 $410 6 $490 B(2) = 50(2) + 150 = 250 B(4) = 50(4) + 150 = 350 B(6) = 50(6) + 150 = 450 You have the better savings plan.