Idea Transcript
Square Root & Cube Root Functions MathBitsNotebook.com Topical Outline | Algebra 1 Outline | MathBits' Teacher Resources Terms of Use Contact Person: Donna Roberts
Directions: Read carefully. 1. If the graph shown at the right is a transformation of the parent function , which choice is a possible equation for this function? Choose:
2. If the graph shown at the right is a transformation of the parent function , which choice is a possible equation for this function? Choose:
3. What is the domain of this function? Choose: (-4,∞) (0,∞) [-4,∞) [4,∞)
4. Function h(x) is a transformation of function f (x). The function h(x) can be expressed as: Choose: h(x) = f (x) - 4 h(x) = f (x - 2) - 4 h(x) = f (x + 2) - 4 h(x) = f (x - 3) - 4
5. Regarding the graph at the right: a) Which interval is the domain? Choose: [-2, ∞)
(0, ∞)
[-1, ∞)
[-2, 0)
b) Which interval is the range? Choose: [-2, ∞)
(0, ∞)
[-1, ∞)
[-2, 0)
c) On which interval is the function positive? Choose: [-2, ∞)
(0, ∞)
[-1, ∞)
[-1, 0)
d) On which interval is the function negative? Choose: [-2, ∞)
[-1, ∞)
[-2, 0]
[-1, 0)
e) Which choice is an end behavior for this function? Choose: As x Õ ∞, f (x) Õ 3.
As x Õ -1, f (x) Õ -1.
As x Õ ∞, f (x) Õ -2.
As x Õ -1, f (x) Õ -2.
6. Function g(x) is a transformation of the cube root function.
On which interval is the function decreasing? Choose: (-∞,0)
(-∞,2)
(-∞,∞)
(2,∞)
7. Regarding the graph at the right: f (x) is a transformation of the square root function. a) What is the domain of f (x)? Choose: [1, ∞)
(-∞, 1]
(-∞, 3]
[3, ∞)
b) Which interval is the range? Choose: (1, ∞)
[1, ∞)
[3, ∞)
(-∞, 3)
c) Which of the following statements is true for f (x)? Choose: Increasing and positive on the interval (-∞, 3). Decreasing and positive on the interval (-∞,3). Increasing and negative on the interval (-∞,3). Decreasing and negative on the interval (-∞,3).
d) Which choice is a possible equation for f (x)? Choose:
8. Regarding the graph at the right: h(x) is a transformation of the cube root function. a) Which interval is the domain? Choose: [0, 4]
[-5, 5]
[0, ∞)
(-∞, ∞)
b) Which point is the x-intercept? Choose: (0,-5)
(0, 2)
(-5, 0)
(2, 0)
c) On which interval is the function positive? Choose: (-∞, ∞)
(-5, ∞)
(2, ∞)
(0, ∞)
NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation and is not considered "fair use" for educators. Please read the "Terms of Use". Topical Outline | Algebra 1 Outline | MathBitsNotebook.com | MathBits' Teacher Resources Terms of Use Contact Person: Donna Roberts Copyright 2012-2018 MathBitsNotebook.com All Rights Reserved