Curves in computer graphics is primarily used for which of the following function? A. To draw different types of objects onto the screen B. Zooming out a picture C. Copying a picture D. Zooming in a picture
Question
Curves in computer graphics is primarily used for which of the following function?
A. To draw different types of objects onto the screen
B. Zooming out a picture
C. Copying a picture
D. Zooming in a picture
Solution
The correct answer is A. Curves in computer graphics are primarily used to draw different types of objects onto the screen. They are fundamental in the creation of smooth and natural shapes in graphic design, such as circles, ellipses, and free-form curves like those used in fonts and vector graphics.
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The graph of a function g is shown.The x y-coordinate plane is given. A function labeled y = g(x) with 4 parts is graphed.The first part is a curve, enters the window in the second quadrant, goes up and right becoming less steep, crosses the y-axis at approximately y = 2.5, and ends at the open point (2, 3).The second part is a curve begins again at the open point (2, 1), goes up and right becoming less steep, and ends at the open point (5, 2).The third part is the closed approximate point (5, 1.2).The fourth part is a curve, begins at the open point (5, 2) goes down and right becoming more steep, and exits the window in the first quadrant.Use it to state the values (if they exist) of the following:(a) lim x → 2− g(x)(b) lim x → 2+ g(x)(c) lim x → 2 g(x)(d) lim x → 5− g(x)(e) lim x → 5+ g(x)(f) lim x → 5 g(x)SolutionLooking at the graph we see that the values of g(x) approach as x approaches 2 from the left, but they approach as x approaches 2 from the right.Therefore (a) lim x → 2− g(x) = and (b) lim x → 2+ g(x) = .Since the left and right limits are different, we conclude that (c) the limit as x approaches 2 of g(x) does not exist.The graph also shows that (d) lim x → 5− g(x) = and (e) lim x → 5+ g(x) = .This time, the left and right limits are the same and so, by this theorem, we have (f) lim x → 5 g(x) = Despite this fact, notice that g(5) ≠ 2.
The graph of a function f is given in the figure.A curve is shown on the x y coordinate plane. It begins at the point (−2, −1), goes up and to the right, passes through the approximate point (−1, −0.2), and passes through the negative x-axis at the approximate point (−0.8, 0). It then continues up and right, passes through the positive y-axis at the point (0, 1), and reaches a high point at (1, 3). It then goes down and right, passes through the points (2, 2) and (3, 1), and ends at the approximate point (4, 0.5).(a)Find the value of f(1).(b)Estimate the value of f(−1).(c)For what values of x is f(x) = 1? (Enter your answers as a comma-separated list.) (d)Estimate the value of x such that f(x) = 0.x = (e)State the domain and range of f. (Enter your answers in interval notation.)domain range (f)On what interval is f increasing? (Enter your answer using interval notation.)
Which of the following are the features of Computer Graphics? A. Creation and deletion of images by computer only B. Creation and manipulation of graphics by computer C. Deletion and manipulation of graphical images by computer D. Creation of artificial images by computer only
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