Square Root Functions Assignment

Question: A factor tree is shown for 1,225. What is the simplest form of ?

Answer: 35

Question: Simplify:

4r2

4r3

8r2

8r3

Answer: 4r3

Question: Simplify:

The prime factorization of 576 is

The prime factorization of 64 is

The expression in simplest form is

Answer: c.) 2(2)(2)(2)(2)(2)2(2)(2)(2)(3)(3)✔

d.) 2(2)(2)(2)(2)(2)✔

c.) 3✔

Question: Which expressions listed on the left are equivalent to ? Check all that apply. (Assume that a ≠ 0.)

Answer: a, b, and e

Question: Simplify: Simplify: StartRoot StartFraction 27 x Superscript 12 Baseline Over 300 xSuperscript 8 Baseline EndFraction EndRoot

Answer: c.) 3/10^2

Question: Which points lie on the graph of f(x) = ?

(-9, 3)

(-4, -2)

(-1, 1)

(0, 0)

(1, 1)

(2, -4)

(9, 3)

Answer: b.) (-4, -2)

d.) (0, 0)

Question:

Answer: d.) The range of the function is all real numbers greater than or equal to 0.

Question: Which function represents the reflection over the x-axis of f(x) = ?

Answer: d.) the last image

Question:

Answer: c.) The only value that is in the domains of both functions is 0.

f.) The range of g(x) is all values less than or equal to 0.

Question: The square root of a negative number, such as , is undefined. Explain why the square root of -x, , is not necessarily undefined and what this means about the domain and range of f(x) = .

Answer: sample response: If x is a negative number, then negative x is a positive number and the square root can be determined. Therefore, the domain of the function is x ≤ 0. As a result, the range is never negative either, so it is y ≥0.