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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.
How can you find a slope on a graph?
This algebra lesson explains how to find the slope of a line by looking at its graph. To get from the point (-2, -1) to the point (4, 3), you rise up 4... and run 6.
What is a slope when dealing with graph?
The slope for a straight line graph is the ratio of the amount by which the graph goes up (the rise) for every unit that it goes to the right (the run). If the graph goes down, the slope is negative. For a curved graph, the gradient at any point is the slope of the tangent to the graph at that point.
Find the slope of the graph of the equation y equals 5x-10?
15
Why use slopes?
The slope of a graph provides general information about a graph. It tells you how much the y value of the graph increases (or decreases, if the slope is negative) for a given increase in x value. if you look at the general equation of a graph y = a x + b the value "a" represents the slope and the "b" value represents the value of y when x = 0. When the graph is not a straight line, the discussion gets more complicated, however the slope still describes changes in the value of the graph (you have to use calculus for this situation.)
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
Find the slope of a tangent line to the graph?
Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.
How do you find the slope of a graph if it is a curve?
You find the slope of the tangent to the curve at the point of interest.
How can you get the speed of an object from its distance-time graph?
You can find the speed of an object from its distance-time graph by calculating the slope of the graph at a specific point. The slope represents the object's velocity at that particular moment. By determining the slope, you can find the speed of the object at that point on the graph.
What is the slope of a line when you are given the equation 3y equals -3x - 5?
The slope of the graph of that equation is -1.
Find the slope of the graph and describe what it means in the context of this problem?
The slope of the graph does not exist. And in the context of "this" problem it means absolutely nothing.
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.
Does The slope of a position-time graph of an object gives the speed of the object?
No, the slope of a position-time graph represents the velocity of the object, which includes both speed and direction. Speed is the magnitude of velocity and is not directly given by the slope of a position-time graph.
How do you locate rate of change on a graph?
Find the slope of the tangent to the graph at the point of interest.
How do you find acceleration of a speed time graph?
To find acceleration from a speed-time graph, you need to calculate the slope of the speed-time graph. The slope at any point on the speed-time graph represents the acceleration at that specific time. If the speed-time graph is linear, then the acceleration will be constant. If the speed-time graph is curved, you can find the acceleration by calculating the slope of the tangent line at a specific point.
If you have a motion graph for an object that shows distance and time. how does the slope of the graph relate to the object's speed?
The slope of the motion graph represents the object's speed. A steeper slope indicates a faster speed, while a shallower slope indicates a slower speed. Specifically, the slope is calculated as the change in distance divided by the change in time, which gives you the speed of the object at any given point on the graph.
Which physical quantity is given by slope of v-t graph?
The physical quantity given by the slope of a velocity-time graph is acceleration. This is because the slope represents the rate of change of velocity over time, which is how acceleration is defined (acceleration = change in velocity / time taken).
