What does average rate of change tell you about a function?
In terms of graphing, the slope of the corresponding secant line on a function's graph is indicated by the average rate of change of the function.
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The average rate of change of a function between two points tells you the average slope or rate of change of the function over that interval. It gives you a measure of how the function is changing on average between those two points.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- What is the instantaneous rate of change of #f(x)=(x-5)^2 # at #x=2#?
- What is the equation of the line tangent to # f(x)=x^3+4x^2+3x # at # x=3 #?
- What is the equation of the line tangent to #f(x)=x^2 sin2x # at #x=pi/4#?
- How do you find the equation of the tangent line to the graph of f(x) at given point if #f(x)= sqrt(x+1))# at (0,1)?
- What is the equation of the line tangent to # f(x)=-(x+2)^2-5-3# at # x=5#?

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