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

2021
Views:

235

Pages:

6
Author:

ahmadqylx6

Extra Practice In Exercises 1 and 2, determine whether the relation is a function. Explain. | Input, x | Output, y | |---|---| | -2 | 4 | | 0 | 5 | | 1 | 4 | | -2 | 5 | Not a function Input 2 has multiple outputs (0, 3), (1, 1), (2, 1), (3, 0) This is a function. Each input has one output. In Exercises 3 and 4, determine whether the graph represents a function. Explain. No. It has multiple outputs. graph with multiple yvalues for a single xvalue This is a function. Passes the vertical line test so each input has only one output. graph that passes the vertical line test In Exercises 5 and 6, find the domain and range of the function represented by the graph. D: {0, 1, 2, 3, 4, 5} R: {1, 2, 3, 4, 5} graph with points plotted at (0, 1), (1, 2), (2, 3), (3, 4), and (4, 5) D: {-3 ≤ x ≤ 3} R: {y ≥ 0} graph with a Vshape, opening upwards The function y = 12x represents the number y of pages of text a computer printer can print in x minutes. a. Identify the independent and dependent variables. 1 Independent: # of minutes Dependent: # of pages b. The domain is 1, 2, 3, and 4. What is the range? X y ---|---| 1 | 12 2 | 24 3 | 36 4 | 48 Notetaking with Vocabulary (continued) Extra Practice In Exercises 1 and 2, determine whether the graph represents a linear or nonlinear function. Explain. Not linear. The graph shows a curve. graph that is not a straight line Linear. The graph is a straight line. graph that is a straight line In Exercises 3 and 4, determine whether the table represents a linear or nonlinear function. Explain. | x | y | |---|---| | 1 | 2 | | 2 | 5 | | 3 | 8 | | 4 | 11 | Linear. Constant rate of change. | x | y | |---|---| | -1 | 0 | | 0 | -1 | | 1 | 0 | | 2 | 3 | Nonlinear In Exercises 5 and 6, determine whether the equation represents a linear or nonlinear function. Explain. y = 3 - 2x Linear. Equation is written in y = mx + b format. y = x² Nonlinear. Variable x has an exponent. In Exercises 7 and 8, find the domain of the function represented by the graph. Determine whether the domain is discrete or continuous. Explain. D: All Real Numbers Continuous. Continuous line. graph that is a continuous line extending infinitely to the left and right D: {1, 2, 3, 5} Discrete. Graph is a series of points. graph that is a series of points Notetaking with Vocabulary (continued) Extra Practice In Exercises 1-6, evaluate the function when x = -4, 0, and 2. f(x) = -x + 4 f(-4) = 8 f(0) = 4 f(2) = 2 g(x) = 5x g(-4) = -20 g(0) = 0 g(2) = 10 h(x) = 7 - 2x h(-4) = 15 h(0) = 7 h(2) = 3 s(x) = 12 - 0.25x s(-4) = 13 s(0) = 12 s(2) = 11.5 t(x) = 6 + 3x - 2 t(-4) = -8 t(0) = 4 t(2) = 10 u(x) = -2 - 2x + 7 u(-4) = 15 u(0) = 5 u(2) = 1 Let m(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 a. m(0) = 8 8 DVDs after 0 trips b. m(3) = 14 14 DVDs after 3 trips c. m(5) > m(3) More DVDs after 5 trips than after 3 trips d. m(7) - m(2) = 10 The difference in DVDs after 7 trips and 2 trips is 10 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 x = 7 r(x) = 4x - 3; r(x) = 33 33 = 4x - 3 36 = 4x x = 9 m(x) = -3/5x - 4; m(x) = 2 2 = -3/5x - 4 6 = -3/5x x = -10 w(x) = 5/6x - 3; w(x) = -18 -18 = 5/6x - 3 -15 = 5/6x x = -18