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.)
A
B
C
D
E
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.