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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'.
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.
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 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.
A distance-time graph of constant speed looks like this?
The graph is a straight line. Its slope is the speed.
What is the slope of a constant velocity?
The slope of a velocity-time graph for an object moving at a constant velocity is equal to the value of the constant velocity.
What does constant acceleration of a velocity time graph look like?
A constant acceleration on a velocity-time graph would appear as a straight line with a non-zero slope. The slope of the line represents the acceleration, with a steeper slope indicating a greater acceleration.
