Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
Chapter P, Problem 8PS
(a)
To determine
To calculate: The average rate of change of the function, fx=−x2+4x−3 from x1 to x2, if the value of x1 and x2 are 1 and 2, respectively.
(b)
To determine
To calculate: The average rate of change of the function, fx=−x2+4x−3 from x1 to x2, if the value of x1 and x2 are 1 and 1.5, respectively.
(c)
To determine
To calculate: The average rate of change of the function, fx=−x2+4x−3 from x1 to x2, if the value of x1 and x2 are 1 and 1.25, respectively.
(d)
To determine
To calculate: The average rate of change of the function, fx=−x2+4x−3 from x1 to x2, if the value of x1 and x2 are 1 and 1.125, respectively.
(e)
To determine
To calculate: The average rate of change of the function, fx=−x2+4x−3 from x1 to x2, if the value of x1 and x2 are 1 and 1.0625, respectively.
(e)
To determine
The function fx=−x2+4x−3 is approaching one value or not and if it is approaching a value then, find the value.
(g)
To determine
To calculate: The equation of the line that passes through the points x1,fx1 and x2,fx2 from part (a) to part (e).
(h)
To determine
To calculate: The equation of the line that passes through the point 1,f1 and the slope is 2.
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