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Working Rule to Check Whether a Differentable Function is Increasing or Decresing
(1) Let the given function be f (x) on the real number line R. (2) Differentiate the function f(x) with respect to x and equate it to zero i.e., put f '(x) = 0. Solve for x. These values of x which satisfy f '(x) = 0 are called Critical values of the function..
Which of the following function rules satisfies the graph?
Which of the following function rules satisfies the graph? => Output = input 2 or Output = Input + 2 or Output = Input - 2 or Output = Input 2 /2..
Function
Function - We consider two sets A and B. We form the Cartesian Product, we form relations. From all the relations, we can select a few which satisfy the rule that each element of the set A is related to only one element of the set B. When a relation satisfies this rule..
Which of the following function rules satisfies the graph?
Which of the following function rules satisfies the graph? => Output = Input 2 or Output = Input + 2 or Out put = 2 × Input or Output = Input..
Which of the following function rules satisfies the table?
Which of the following function rules satisfies the table? => f ( n ) = 2 n + 1 or f ( n ) = 2 n - 1 or f ( n ) = 2 n or f ( n ) = 2 n + 2..
Write a rule for the linear function in the table.
Write a rule for the linear function in the table. => f ( x ) = 4 x - 1 or f ( x ) = 2 x + 3 or f ( x ) = 3 x + 1 or None of the above..
Function Solved Examples
Function Solved Examples - The arrow diagram represents a relation from set A to set B. (i) Represent the relation in roster form. (ii) Is this relation a function? Give reason for your answer. (i) {(1, 2), (2, 4), (5, 2), (3, 10), (4, 10)} (ii) Yes it is a functi..
Which of the following function rules describes the number of seconds ..
Which of the following function rules describes the number of seconds as a function of number of hours? => f(x) = 60 x or f(x) = 3600 x or f(x) = x 3600 or f(x) = x 60..
Which of the following function rules describes the number of grams as..
Which of the following function rules describes the number of grams as function of number of kilograms? => f ( x ) = x 1000 or f ( x ) = 2640 x or f ( x ) = 1000 x or None of the above..
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