Question

use the properties of exponents to simplify the expression: (25^{\frac{1}{2}})

a) 25
b) 625
c) 5
d) 125

question 8 (5 points)
which of the following is the inverse relation of the set?
\\\\{(3, 1), (4, 2), (5, 3), (6, 4)\\}\\

a) \\(\\{(2, 1), (4, 3), (5, 3), (6, 4)\\}\\)
b) \\(\\{(1, 3), (2, 4), (3, 5), (4, 6)\\}\\)
c) \\(\\{(2, 4), (3, 3), (5, 4), (6, 1)\\}\\)
d) \\(\\{(3, 1), (4, 2), (5, 3), (6, 4)\\}\\)

question 9 (5 points)
identify the domain of a radical function with an odd index.

a) \\(-\infty < x < \infty\\)
b) \\(0 \le x < \infty\\)
c) \\(0 < x < \infty\\)
d) \\(-\infty < x \le 0\\)

Explanation:

Simplify the exponential expression

$$ 25^{\frac{3}{2}} = (25^{\frac{1}{2}})^3 = (\sqrt{25})^3 = 5^3 = 125 $$

Find the inverse relation of the set

$$
LATEXBLOCK0
$$

Determine the domain of a radical function with an odd index

$$
LATEXBLOCK1
$$

Answer:

Question 1

• (A) 25
• (B) 625
• (C) 5
• (D) 125 (Correct answer)

Question 2

• (A) \(\{(2, 1), (4, 3), (5, 3), (6, 4)\}\)
• **(B) \(\{(1, 3), (2, 4), (3, 5), (4, 6)\}\)</mcq-option>
• (C) \(\{(2, 4), (3, 3), (5, 4), (6, 1)\}\)
• (D) \(\{(3, 1), (4, 2), (5, 3), (6, 4)\}\)

Question 3

<mcq-correct>(A) \(-\infty < x < \infty\) (Correct answer)**

• (B) \(0 \le x < \infty\)
• (C) \(0 < x < \infty\)
• (D) \(-\infty < x \le 0\)