curve has a negative gradient?
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Positive Slope. A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.
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For f(x)=|x|=abs(x) the answer is easy. It is only not differentiable at x=0.
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A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.
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If the acceleration is zero, then the slope is zero (i.e., a horizontal line). If the acceleration is positive, then the slope is positive (i.e., an upward sloping line). ... The slope of a velocity-time graph reveals information about an object's acceleration.
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Correct answer: The slope of a perpendicular line is the negative reciprocal of the original slope.
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Comment: It often happens that a graph has different concavity on the two sides of a vertical asymptote. However, because a curve is not continuous at a vertical asymptote, it can never have an inflection point there, even if f is defined there.
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time graph reveals pertinent information about an object's velocity. For example, a small slope means a small velocity; a negative slope means a negative velocity; a constant slope (straight line) means a constant velocity; a changing slope (curved line) means a changing velocity.
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The tangent lines have been drawn at each point so that you can see the slope of those lines. Slope of the tangent line at point B is zero. Point B is the minimum point. It is the point with the lowest y-coordinate where the curve has a slope of zero.
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If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. ... Theorem 105: If two nonvertical lines are perpendicular, then their slopes are opposite reciprocals of one another, or the product of their slopes is −1.
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Remember that the slope is a number that tells you, basically, if your line is going up or down. The tangent is a line and it can have a positive (going up), negative (going down) or zero (perfectly horizontal) slope.
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The slope of the tangent to a velocity-time graph indicates acceleration. ( Instantaneous)
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If an economic curve has a negative slope, then one variable: ... The tangent line at point A on a curve has a positive slope.
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Perpendicular graphs - Higher Two lines will be perpendicular if the product of their gradients is -1.
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If the slopes of two lines are negative reciprocals, the lines are perpendicular. For ease of computation, translate the lines so the point of intersection will be the origin. Draw a vertical line x = 1 to form ΔABC.
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This relationship is always true: If you get a negative value inside the square root, then there will be no real number solution, and therefore no x-intercepts. In other words, if the the discriminant (being the expression b2 – 4ac) has a value which is negative, then you won't have any graphable zeroes.
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People think, “If the acceleration is negative, then the object is slowing down, and if the acceleration is positive, then the object is speeding up, right?” Wrong. An object with negative acceleration could be speeding up, and an object with positive acceleration could be slowing down.
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The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . We can, of course, use this to find the equation of the line. Since the line crosses the y-axis when y = 3, the equation of this graph is y = ½x + 3 . To find the gradient of a curve, you must draw an accurate sketch of the curve.