Step-by-step explanation:
Write true if the statement is correct and write false if the statement is incorrect
1. For two ordered pairs (a, b) and (c, d) (a, b) = (c, d) if and only if b = c and a = d
2. The domain of the relation R=\ (x, y) x \in \mathbb{R} Randy = x+1) is R.3. Any vertical line intersects the graph of a function exactly once.
4. The range of f(x) = x ^ n for an even natural number n is R.
Choose the correct answer
5. Given R=\ (1, 2), (2, b), (3, d), (5, 4) ,then which one of the following is the domain of
R ^ (- 1')
A. (1,2,3,5)
B. \{2, b, d, 4\}
6. Which of the following is not power function?
A. f(x) = x ^ sqrt(2)
B. g(x) = sqrt(3) * x ^ sigma
7. Which of the following relation is a function?
A R_{1} = \{(- 2, 1), (1, 2), (3, - 1), (1, 3), (2, 3)\}
B. R_{2} = \{(- 2, 1), (1, 3), (3, - 1), (2, 2), (2, 2)\} ))
C. R_{1} = \{(1, 1), (2, 2), (3, 3), (2, 3)\}
D. R 2 =\ (x, y) / x, y \in \mathbb{R} and x ^ 2 + y ^ 2 = 1 )
8. Let f(x) = x ^ (1/4) and g(x) = x ^ (1/6) , then which one of the following is false?
A. The domain off and g is [0, ∞)B. The range of f and gis[0, ∞)
9. Let R=\ (x, y) / x , ye Rand y >= x - 4 and y <= x + 3 \ then which one of the
following is R ^ - 1 ?
A. R^ -1 =\ (x, y) / x, y \in \mathbb{R} y>= x+ 4and mathfrak y >= x - 3 \B. R^ -1 =\ (x, y) / x, y \in \mathbb{R} and y >= x - 4andy >= x + 3 \
C. R^ -1 =\ (x, y) / x, y \in \mathbb{R} y <= x + 4 and y >= x - 3 \
D. R^ -1 =\ (x, y) / x, y \in \mathbb{R} y >= - x + 4 and y >= - x - 3 \