Precalculus: Functions and GraphsBuilding on Mark Dugopolski's name, this graphing optional text is designed for the one or two semester precalculus course. With faster pacing and less review, this is an excellent choice for those students going on to calculus. |
From inside the book
Results 1-3 of 90
Page 110
... graph of y = f ( x ) is a reflection in the x - axis of the graph of y = f ... Sketch the graphs of each pair of functions on the same coordinate plane ... Sketch the graph of ƒ through these ordered pairs as shown in Fig . 2.32 . Since g ...
... graph of y = f ( x ) is a reflection in the x - axis of the graph of y = f ... Sketch the graphs of each pair of functions on the same coordinate plane ... Sketch the graph of ƒ through these ordered pairs as shown in Fig . 2.32 . Since g ...
Page 231
... Sketch the graph of f ( x ) Solution = 4x ( x + 1 ) 2 ° The graph of ƒ has a vertical asymptote at x = -1 , and since the degree of the nu- f merator is less than the degree of the ... graph of a. 3.7 Graphs of Rational Functions 231.
... Sketch the graph of f ( x ) Solution = 4x ( x + 1 ) 2 ° The graph of ƒ has a vertical asymptote at x = -1 , and since the degree of the nu- f merator is less than the degree of the ... graph of a. 3.7 Graphs of Rational Functions 231.
Page 690
... Sketch the graph of each ellipse , and determine its foci . + 16 36 - 8 . x2 , 2 J 64 16 = 35. x2 + 4x = y2 30. x2 + y2 = 1 2 32. x2 + 4x + y2 = 0 34. y2 = 1 — x 36. 9x2 + 7y2 = 63 Write each equation in standard form , then sketch the ...
... Sketch the graph of each ellipse , and determine its foci . + 16 36 - 8 . x2 , 2 J 64 16 = 35. x2 + 4x = y2 30. x2 + y2 = 1 2 32. x2 + 4x + y2 = 0 34. y2 = 1 — x 36. 9x2 + 7y2 = 63 Write each equation in standard form , then sketch the ...
Other editions - View all
Common terms and phrases
angle augmented matrix average calculator graph calculator to find coefficients complex number compounded coordinate cos² cosine cost Cramer's rule curve determine directrix distance domain and range equivalent Example exponential function expression factor Figure for Exercise formula function f(x given graph in Fig graph of f(x graph of ƒ graphing calculator horizontal asymptote identity inequality integer interval notation inverse function length linear equations log(x loga matrix multiply negative one-to-one ordered pairs parabola polynomial function positive quadratic function quotient quotient rule radians radius rational function real numbers satisfy Section shown in Fig sign graph sin(x sin² sine Sketch the graph slope solution set Solve each problem speed symmetry synthetic division terminal side theorem THOUGHT True tion trigonometric functions variables vector velocity vertex vertical asymptote Write x-axis x-intercepts y-coordinate y₁ Ул