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Rate of Change = Change in value/Change in time
to make this more clear, look at the line graph and pick two points of x. for example, we will use x=3 and x=1 in the equation f(x)=(x-3)^2
the average rate of change = change in y/change in x which equals function(b)-function(a)/b-a
with that, we get: f(3)-f(1)/3-1. this creates (3-3)^2-(1-3)^2/3-1
this simplies to 0-4/2 which equals -2 so the rate of change in f(x)=(x-3)^2 is -2.
What else can I help you with?
How do you figure how the rate of change by looking at a graph?
formula to figure out the rate of change of a line on a graph m= y2-y1/x2-x1
How do you find the rate of change on a table?
To find the rate of change on a table: the input is X and the output is Y (the left side is X and the right is Y). The formula for the rate of change is: Change of the dependent variable over change of independent variable or y over x. ^^^ I understood NONE of that...
How do you find constant rate of change?
To find the constant rate of change, you need two points on a linear relationship, typically represented as (x1, y1) and (x2, y2). The rate of change is calculated using the formula: ( \text{Rate of Change} = \frac{y2 - y1}{x2 - x1} ). This gives you the slope of the line, indicating how much y changes for a unit change in x. If the relationship is linear, this rate remains constant across the entire range of x.
What is the rate of change between any two points on a line?
it is the same as the slope, which can be found either graphically (rise over run) or algebraically using the formula (y2-y1)/(x2-x1)
What is the average rate of change in f(x) over the interval 413?
To find the average rate of change of a function ( f(x) ) over the interval ([a, b]), you use the formula (\frac{f(b) - f(a)}{b - a}). In your case, since the interval is given as "413," I'm assuming you meant the interval ([4, 13]). You would need the values of ( f(4) ) and ( f(13) ) to calculate this average rate of change. Once you have those values, simply plug them into the formula to find the result.
What is the formula for finding the rate of change of a quantity with respect to time, known as the dp dt formula?
The formula for finding the rate of change of a quantity with respect to time, known as the dp/dt formula, is: dp/dt (change in quantity) / (change in time)
How do you find rate of change?
slope formula is the answer
What is the formula for calculating the rate of change of temperature over time, given a constant rate of change of 3/2kt?
The formula for calculating the rate of change of temperature over time, given a constant rate of change of 3/2kt, is dT/dt 3/2k.
What is the rate of change in a linear relationship?
The rate of change equals the slope. In the basic formula y=mx+b, the rate of change is equal to m. In the equation y=5x+3, the rate of change equals 5.
What is the formula for calculating acceleration, which is defined as the rate of change of velocity over time?
The formula for calculating acceleration is: acceleration change in velocity / time.
How do you figure how the rate of change by looking at a graph?
formula to figure out the rate of change of a line on a graph m= y2-y1/x2-x1
What is the formula of veocity?
velocity is defined as rate of change of displacement with respect to time.
What is the formula for rate of speed?
Rate of speed is acceleration with respect to time, therefore the formula is (dv/dt), meaning (change in velocity/change in time). Remember, speed is just the magnitude of the velocity vector.
What is the horizontal acceleration formula used to calculate the rate of change in velocity over time in a straight line motion?
The horizontal acceleration formula used to calculate the rate of change in velocity over time in straight line motion is: Acceleration (Change in Velocity) / Time
How do you find the rate of change on a table?
To find the rate of change on a table: the input is X and the output is Y (the left side is X and the right is Y). The formula for the rate of change is: Change of the dependent variable over change of independent variable or y over x. ^^^ I understood NONE of that...
What is the method to calculate the average rate of reaction in a chemical process?
To calculate the average rate of reaction in a chemical process, you can use the formula: Average Rate (Change in concentration of reactant or product) / (Time taken for the change). This formula helps determine how quickly a reaction is progressing over a specific period of time.
Population growth rate definition?
Population growth rate is the rate at which populations change in size over time as a fraction of the initial population. The formula used to measure growth rate is (birth rate + immigration) - (death rate + emigration).
