1. Evaluate each function at the given values of the independent variable and simplify. g(x) = x2 + 2x + 3 1. g(-1) 2. g(x + 5) 3. g(-x) A. 1. 2 2. x2 + 12x + 38 3. x2 - 2x + 3 B. 1. 4 2. x2 + 6x + 38 3. x2 - 3x +5 C. 1. 7 2. x2 + 7x + 56 3. x2+ 4x + 7 D. 1. 5 2. x2 -12x + 38 3. x2+ 5x + 7 Question 2 of 20 5.0 Points Use the given conditions to write an equation for each line in general form. Passing through (4, -7) and perpendicular to the line whose equation is x - 2y - 3 = 0. A. 6x - y - 1 = 0 B. 4x + y + 1 = 0 C. 7x - y + 2 = 0 D. 2x + y - 1 = 0 Question 3 of 20 Find the average rate of change of the function from x1 to x2. f(x) = x from x1 = 4 to x2 = 9 A. 1/5 B. 1 5.0 Points C. 2 D. 1/4 Question 4 of 20 5.0 Points Determine whether the function is odd, even, neither, or can't be determined: f(x) = x1 - x2 A. Even B. Odd C. Neither D. Can't be determined Question 5 of 20 5.0 Points Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of f passes through (-1, 5) and is perpendicular to the line whose equation is x = 6. A. f(x) = 6 B. f(x) = 8 C. f(x) = 3 D. f(x) = 5 Question 6 of 20 5.0 Points Determine whether the function is odd, even, neither, or can't be determined: h(x) = x2 - x4 A. Even B. Odd C. Neither D. Can't be determined Question 7 of 20 5.0 Points Determine whether the following equation defines y as a function of x: x + y = 16 A. Y is a function of x. B. Y is not a function of x. C. X is a function of y. D. X is not a function of y. Question 8 of 20 5.0 Points Determine whether the following equation defines y as a function of x: x2 + y2 = 16 A. Y is a function of x. B. X is not a function of y. C. X is a function of x. D. Y is not a function of x. Question 9 of 20 5.0 Points Evaluate each function at the given values of the independent variable and simplify. f(x) = 4x + 5 1. f(6) 2. f(x + 1) 3. f(-x) A. 1. 27 2. 5x + 9 3. -4x + 8 B. 1. 35 2. 4x + 9 3. -7x + 5 C. 1. 29 2. 4x + 9 3. -4x + 5 D. 1. 29 2. 3x + 8 3. 4x + 6 Question 10 of 20 5.0 Points Evaluate each piecewise function at the given values of the independent variable. x + 3 if x -3 g(x) = -(x + 3) if x < -3 1. g(0) 2. g(-6) 3. g(-3) A. 1. -1 2. 7 3. 19 B. 1. 3 2. 3 3. 0 C. 1. -7 2. 9 3. 2 D. 1. 9 2. 7 3. 19 Question 11 of 20 5.0 Points Determine whether the function is odd, even, neither, or can't be determined: f(x) = x3 + x A. Even B. Odd C. Neither D. Can't be determined Question 12 of 20 Use the given conditions to write an equation for each line in point-slope form. Passing through (2, -3) and perpendicular to the line whose equation is y = 1/5 x + 6. A. y + 8 = 5(x - 6) B. y - 3 = -5(x + 20) C. y + 3 = -5(x - 2) D. y - 3 = -5(x + 5) Question 13 of 20 5.0 Points Give the slope and y-intercept of each line whose equation is given. f(x) = -2x + 1 A. m = 3; b = 4 B. m = -2; b = 1 C. m = 6; b = 7 D. m = 2; b = 1 Question 14 of 20 5.0 Points Give the slope and y-intercept of each line whose equation is given. y = 2x + 1 A. m = 3; b = 4 B. m = 5; b = 1 C. m = 6; b = 7 D. m = 2; b = 1 Question 15 of 20 5.0 Points Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (4, -2) and (3, -2) A. 1; rises B. 4; fall C. 0; horizontal D. 0; vertical Question 16 of 20 5.0 Points Give the slope and y-intercept of each line whose equation is given. f(x) = 3/4 x - 2 A. m = 3/4; b = -2 B. m = 6; b = 7 C. m = 2; b = 1 D. m = 8; b = 7 Question 17 of 20 5.0 Points Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (4, 7) and (8, 10) A. 3/4, rises B. 2/4, falls C. 1/4, horizontal D. 3/5, vertical Question 18 of 20 5.0 Points Give the slope and y-intercept of each line whose equation is given. g(x) = -1/2x A. m = 3/4; b = -2 B. m = 6; b = 7 C. m = -1/2; b = 0 D. m = 1; b = 8 Question 19 of 20 5.0 Points Give the slope and y-intercept of each line whose equation is given. y = -3/5x + 7 A. m = 3/4; b = -2 B. m = 6; b = 7 C. m = -3/5; b = 7 D. m = 1; b = 8 Question 20 of 20 Find the average rate of change of the function from x1 to x2. f(x) = x2 + 2x from x1 = 3 to x2 = 5 A. 10 5.0 Points B. 15 C. 4 D. 25