Prove the inequality
My Self Assessment
Find the domain of definition of the function
a) (−2, 1)
b) (−2, 1) and x ≠ 0
c) (0, 1)
d) (−2, 2)
a)
b)
c)
d) ; where k = 0, ±1, ±2, ...
a) (−∞, ∞)
b) (−∞, 0)
c) (0, ∞)
d) (−∞, 0) ∪ (0, ∞)
a) (1, 2)
b) [1, 2]
c) (1, 2]
d) [1, 2)
Find the domain of definition of the function to be defined
a) (0, 4)
b) (4, ∞)
d) (−4, 4)
a) (−∞, 0)
b) (0, ∞)
c) (−∞, ∞)
d) Not defined for any x
b) (−∞, −2)
c) (2, ∞)
d) (−∞, −2) ∪ (−2, 2) ∪ (2, ∞)
a) (−1, 1)
b) (−∞, −1)
c) (1, ∞)
d) {−1, 1}
Find the range of the function
d) [0, ∞)
d) (−∞, ∞)
Solve the equation
a) x = 0
b) x = 1
c) x = −1
d) x = −1, 0
Find domain of definition of the function
a) (3, 4)
b) (3, 4]
c) [−4, 4]
d) (3, 3 + π)
a) [−1, 5]
b) (−∞, 3]
c) [−1, 3]
d) [3, 5]
a) (−∞, −1)
b) (−1, 1)
d) (−1, ∞)
If the function f (x) is defined on the interval [0, 1] what is the domain of f (3x2)
d)
If the function f (x) is defined on the interval [0, 1] what is the domain of f (x − 5)
a) [0, 5]
b) [0, 6]
c) [5, 6]
d) (6, ∞)
If the function f (x) is defined on the interval [0, 1] what is the domain of f (tanx)
a) 0 < x < kπ ; k
b) ; k
c) ; k
d) ; k
Prove that the function f (x) = is not a periodic one.
Is the following function even or odd f (x) =
a) Even
b) Odd
c) Cannot say
d) Neither odd nor even
Prove that the following function f (x) = x + sinx is non-periodic
Prove that the following function is non-periodic
