The Square Root Function assignment

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

35

Simplify: 4r2 4r3 8r2 8r3

4r3

Which expressions listed on the left are equivalent to ? Check all that apply. (Assume that a ≠ 0.) A B C D E

a, b, and e

Which points lie on the graph of f(x) = ? (-9, 3) (-4, -2) (-1, 1) (0, 0) (1, 1) (2, -4) (9, 3)

b.) (-4, -2) d.) (0, 0)

Simplify: The prime factorization of 576 is The prime factorization of 64 is The expression in simplest form is

c.) 2(2)(2)(2)(2)(2)2(2)(2)(2)(3)(3)✔ d.) 2(2)(2)(2)(2)(2)✔ c.) 3✔

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

c.) 3/10^2

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) = .

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.

The graph of f(x) = is reflected across the x-axis and then across the y-axis to create the graph of function g(x). Which statements about the functions f(x) and g(x) are true? Check all that apply. The functions have the same range. The functions have the same domains. The only value that is in the domains of both functions is 0. There are no values that are in the ranges of both functions. The domain of g(x) is all values greater than or equal to 0. The range of g(x) is all values less than or equal to 0.

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.

The function f(x) = is represented by the graph. Which statement is correct? The domain of the function is all real numbers greater than 0. The range of the function is all real numbers less than or equal to 0. The domain of the function is all values less than 0. The range of the function is all real numbers greater than or equal to 0.

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

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

d.) the last image