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Is the function that cuts through the points 2 3 and -1 6 increasing or decreasing?
Wiki User
∙ 10y ago
Points: (2, 3) and (-1, 6)
Slope: -1 therefore it is decreasing
Wiki User
∙ 10y ago
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What must be true about the average rate of change between any two points on the graph of an increasing function?
if a function is increasing, the average change of rate between any two points must be positive.
What function family has an increasing interval and a decreasing interval?
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Which function passes through the points (2 15) and (3 26)?
If you mean points of (2, 15) and (3, 26) then the function is a straight line whose equation is y = 11x-7
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How do you graph the slope of a function?
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What function family has an increasing interval and a decreasing interval?
There are many families of functions or function types that have both increasing and decreasing intervals. One example is the parabolic functions (and functions of even powers), such as f(x)=x^2 or f(x)=x^4. Namely, f(x) = x^n, where n is an element of even natural numbers. If we let f(x) = x^2, then f'(x)=2x, which is < 0 (i.e. f(x) is decreasing) when x<0, and f'(x) > 0 (i.e. f(x) is increasing), when x > 0. Another example are trigonometric functions, such as f(x) = sin(x). Finding the derivative (i.e. f'(x) = cos(x)) and critical points will show this.
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