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Why a constant function doesn't have an inverse function?
When graphing functions, an inverse function will be symmetric to the original function about the line y = x. Since a constant function is simply a straight, horizontal line, its inverse would be a straight, vertical line. However, a vertical line is not a function. Therefore, constant functions do not have inverse functions. Another way of figuring this question can be achieved using the horizontal line test. Look at your original function on a graph. If any horizontal line intersects the graph of the original function more than once, the original function does not have an inverse. The constant function is a horizontal line. Under the assumptions of the horizontal line test, a horizontal line infinitely will cross the original function. Thus, the constant function does not have an inverse function.
What are the uses of derivatives?
A derivative of a function represents that equation's slope at any given point on its graph.
What is the slope of the equation 5x plus 4y equals 8?
The slope is defined as the ratio of the "rise" divided by the "run" between two points on a line, or in other words, the ratio of the altitude change to the horizontal distance between any two points on the line. Given two points (x1,y1) and (x2,y2) on a line, the slope m of the line isFor equation:5x + 4y = 8the two intercepts are: (0,2) and (8/5,0)The slope = (2-0)/(0-8/5) = - 10/8 = - 5/4
How do you graph x is greater than or equal to y?
Take a blank graph with 'x' and 'y' axes on it. Draw a 45-degree line on the graph. The line goes through the origin, and from the origin, it goes down-left and up-right. The slope of the line is 1, and its equation is y=x. The region "y is greater than or equal to x" is every point on that line, plus every point on the side above it (to the left of it).
What is the relationship between slope of a tangent line and velocity?
The slope of any line is rise/run, or change in y divided by change in x. On a distance-time curve, time is the variable on the x axis, and distance is the variable on the y axis. This means that when a tangent is drawn at any point on the curve, its slope becomes change in distance divided by change in time, for example, m/s, km/h, etc. These units align with the units for velocity, and therefore the slope of the tangent line on a distance-time curve is the velocity.
Is the steepness of a line on a motion graph is called a slope?
"Slope" is the steepness of the line on any graph.
What will the graph of y equals b look like for any real number b?
A straight horizontal line with no slope
Does a horizontal line on a distance-time graph means the object is moving at a constant speed?
You cannot. A distance vs time graph only measures radial distance - that is, distance from the origin to the object. If the object is going around the origin along a circular path, the distance vs time graph will not show any change in distance.The [incorrect] answer that you are required to give is that the graph will be a horizontal line during that period. But as explained above, the horizontal graph only means the object has no movement towards or away from the origin, not that it has no movement.
What is slope of velocity v time graph?
The slope of a velocity vs. time graph represents acceleration. A positive slope indicates acceleration in the positive direction, a negative slope indicates acceleration in the negative direction, and a horizontal line indicates constant velocity.
What is the slope of a line that is parallel to a horizontal line?
Well since the lines are parallel they would have the same slope. And the slope of any horizontal line is 0. The slope of a vertical line is undefined.
What equation has the least steep graph?
The equation with the least steep graph is typically a horizontal line, represented by ( y = c ), where ( c ) is a constant. This line has a slope of 0, meaning it does not rise or fall as it moves along the x-axis. Any line with a slope closer to zero than any other will also be considered less steep, but a horizontal line is the most extreme case of this.
The graph of which line has a slope of 2?
The graph of the equationy = 2x + any numberis a straight line with a slope of 2.
What is the slope of any horizontal line?
zero
What is the slope of a graph that is parallel to the y-axis?
The slope is (change in 'y' produced by a change in 'x') divided by (change in 'x' that produces it). The slope of any horizontal line on the graph is zero because the value of 'y' is the same everywhere on the line. No matter how much you change 'x' along the line, 'y' never changes.
Does the horizontal line on the velocity vs time graph indicate a constant and positive acceleration?
Ahorizontal line on a velocity vs time graph does not indicate any acceleration because there is no slope. Speed remains constant.
What does the slope of voltage-current curve represent?
It depends. If voltage is drawn along the horizontal axis, then the slope at any point on the graph represents the reciprocal of resistance at that point. If current is drawn along the horizontal axis, then the slope at any point on the graph represents the resistance at that point.
What does a horizontal line on a velocity time graph show for acceleration?
Any curved line will indicate a change in acceleration. Straight lines with slope indicate a steady velocity and straight lines with zero slope indicate a lack of motion.If the X axis (left to right) is for time and the Y axis (up and down) is for speed, it would curve up.
