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How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?
The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.
A distance-time graph of constant speed looks like this?
The graph is a straight line. Its slope is the speed.
What does the slope of a curve represent on a velocity-versus-time graph represent?
The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)
What type speed is represented by a constant slope on a distance time graph?
The slope (technically, the slope of the tangent at each point) of a distance-time graph gives the instantaneous velocity. Therefore, if the graph has a constant slope - i.e. it is a straight line - then that indicates a constant velocity (zero acceleration).
Is it true about a line graph that the slope is constant?
No - a line graph may peak and trough depending on the data marked on the graph - a bit 'like join the dots'.
If the velocity is constant describe the slope of the graph on a position vs. time graph.?
If velocity is constant, the slope of the graph on a position vs. time graph will be a straight line. The slope of this line will represent the constant velocity of the object.
What type of motion is occurring when the slope of a position vs. time graph is constant?
The motion at constant speed.
How do you tell whether a graph shows a constant or variable rate of change?
The slope of each point on the line on the graph is the rate of change at that point. If the graph is a straight line, then its slope is constant. If the graph is a curved line, then its slope changes.
4 What type of motion is occurring when the slope of a position vs time graph is constant?
When the slope of a position vs. time graph is constant, it indicates that the object is moving at a constant velocity. This type of motion is called uniform motion, where the object covers equal distances in equal intervals of time.
How is constant speed represented on a time graph?
On a time graph, constant speed is represented by a straight line with a constant slope. The slope of the line indicates the speed of the object – the steeper the slope, the faster the speed, and the shallower the slope, the slower the speed.
Is the first derivative of a function is a constant then its graph is?
A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.
Find the constant of variation and the slope of the given line from the graph of y equals 2.5x?
find the constant of variation and the slope of the given line from the graph of y=2.5x
What type of motion is occurring when the slope of a velocity vs. time graph is zero?
It means that the velocity is constant, or not changing.
How can one determine the spring constant from a graph?
To determine the spring constant from a graph, you can calculate it by finding the slope of the line on the graph. The spring constant is equal to the slope of the line, which represents the relationship between force and displacement. By measuring the force applied and the corresponding displacement, you can plot these points on a graph and calculate the spring constant by finding the slope of the line that connects the points.
How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?
The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.
What is the highest point on a graph?
The highest point on a graph is when the derivative of the graph equals 0 or the slope is constant.
When the slope of v t graph is negative and constant what is the nature of acceleration?
acceleration is the slope of the v t graph... so the acceleration is constant and negative. In other words, the object is slowing down at a constant rate.
