Periodic Function
Trending Questions
Q. If f(x+f(y))=f(x)+y ∀ x, y∈R and f(0)=1, then the value of f(7) is
- 1
- 7
- 6
- 8
Q. Which of the following functions are periodic?
- f(x) = log x, x > 0
- f(x) = ex, x ϵ R
- f(x) = x - [x], x ϵ R
- f(x) = x + [x], x ϵ R
Q. If f(x+f(y))=f(x)+y ∀ x, y∈R and f(0)=1, then the value of f(7) is
- 1
- 7
- 6
- 8
Q. Let f(x) be periodic and k be a positive real number such that f(x+k)+f(x)=0 for all x∈ R. If the period of f(x) is ak. Find a
Q. Let the function f(x) and g(x) be defined as
f(x)=⎧⎨⎩√x0≤x<12−x1≤x<2f(x+2) ∀x∈R and g(x)=4f(3x)+1, ∀x∈R.
Let A denotes the sum of all the solutions of the equation f(x)=0.6, 3≤x≤7.
B denotes the fundamental period of g(x).
C denotes the value of g′(6.75).
Then, the value of [ABC] is
(where [.] represents greatest integer function)
f(x)=⎧⎨⎩√x0≤x<12−x1≤x<2f(x+2) ∀x∈R and g(x)=4f(3x)+1, ∀x∈R.
Let A denotes the sum of all the solutions of the equation f(x)=0.6, 3≤x≤7.
B denotes the fundamental period of g(x).
C denotes the value of g′(6.75).
Then, the value of [ABC] is
(where [.] represents greatest integer function)
Q.
Which of the following function is a Periodic function -
F(x) = x
F(x) = sinx
F(x) = ex
F(x) = log (x)
Q. Which of the following functions are periodic?
- f(x) = log x, x > 0
- f(x) = ex, x ϵ R
- f(x) = x - [x], x ϵ R
- f(x) = x + [x], x ϵ R
Q. Which of the following functions are periodic?
- f(x) = x - [x], x ϵ R
- f(x) = log x, x > 0
- f(x) = ex, x ϵ R
- f(x) = x + [x], x ϵ R
Q. The graph of x2−√5x−2 has its minimum value at what approximate value of x?
- 0.83
- 1.12
- 1.35
- 1.21
- 2.47
Q.
Which of the following function is a Periodic function -
F(x) = x
F(x) = sinx
F(x) = ex
F(x) = log (x)
Q. The function f(x)=cos√x is
- not a periodic function
- periodic with period
- periodic with period
- periodic with period
