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Real Function
A real valued function f : A to B or simply a real function 'f ' is a rule which associates to each possible real number x A, a unique real number f(x) B, when A and B are subsets of R, the set of real numbers. In other words, functions w..
Real Functions and their Graphs
Real Function: A real valued function f : A to B or simply a real function 'f ' is a rule which associates to each possible real number x A, a unique real number f(x) B, when A and B are subsets of R, the set of real numb..
What kind of trend does the scatter plot show? Describe a real-life si..
What kind of trend does the scatter plot show? Describe a real-life situation that the scatter plot could represent. => No trend; Age of students vs. number of pets they have or Positive trend; Age of car vs. its value or Negative trend; Age of car vs. its value..
Langrange's Mean Value Theorem
Theorem 7: - Let f be real valued function in [a,b] such that, f is continuous in [a,b]. f is differentiable in (a,b..
Rolle's Theorem and Mean Value Theorem
Rolle's Theorem - Let f be a real valued function in [a,b] such that f is continuous in [a,b]. f is differentiable in (a,b..
Find the maximum value of 4 + 14x - x2, if x is real.
Find the maximum value of 4 + 14 x - x 2 , if x is real. => 52 or - 53 or 54 or 53..
Absolute Maximum and Absolute Minimum Value of a Function
Let f (x) be a real valued function with its domain D. (i) f(x) is said to have absolute maximum value at x = a if f(a) f(x) for all x D. (ii) f(x) is said to have absolute minimum value at x = a if f(a) f(x) for all x D. The following points a..
Calculate the value of m if 25x2 + mx + 36 = 0 has one real solution.
Calculate the value of m if 25 x 2 + m x + 36 = 0 has one real solution. =>± 60 or 0 or 62 or none of the above..
For all real values of x, f(x) = 9x - cos 7x is
For all real values of x , f ( x ) = 9 x - cos 7 x is => not differentiable or increasing or stationary or decreasing..
Calculate the value of m if 36x2 + mx + 4 = 0 has two real solutions.
Calculate the value of m if 36 x 2 + m x + 4 = 0 has two real solutions. => m < - 24 and m > 24 or m < 22 and m > -22 or m < - 24 and m < 24 or m > 22 and m < - 22..
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