INCREASING AND DECREASING INTERVALS FOR SQUARE ROOT FUNCTION WORKSHEET
Is the function increasing or decreasing on its domain and describe the transformations from the graph of f (x) = √x to the graph of h. Then graph h.
Problem 1 :
Problem 2 :
Problem 3 :
Answer Key
1) There is no reflection, then as x increase the value of y will also increase. It must be increasing function in the interval [1, ∞).
2) b is negative, reflection across y-axis. Decreasing in the interval (-∞, 0].
3) a is negative, reflection across x-axis. Decreasing in the interval [3, ∞).
Find the domain and range for the square root functions given below.
Problem 1 :
f(x) = √(x - 4) - 10
Problem 2 :
Problem 3 :
f(x) = √(x + 3) + 2
Problem 4 :
f(x) = 2√(x - 5) - 6
Problem 5 :
f(x) = -√(5x)
Problem 6 :
f(x) = √(x + 1)
Problem 7 :
f(x) = -√(2x) + 2
Problem 8 :
f(x) = √(x + 2) + 5
Problem 9 :
f(x) = √(x - 4) - 6
Problem 10 :
f(x) = -√(x - 6) + 5
Answer Key
1) domain is [4, ∞), range is [-10, ∞)
2) domain is [-12, ∞), range is [3, ∞)
3) domain is [-3, ∞), range is [2, ∞)
4) domain is [5, ∞), range is [-6, ∞)
5) domain is x ≥ 0, range is f(x) ≤ 0
6) domain is x ≥ -1, range is f(x) ≥ 0
7) domain is x ≥ 0, range is (-∞, 2]
8) domain is [-2, ∞), range is [5, ∞)
9) domain is [4, ∞), range is [-6, ∞)
10) domain is [6, ∞), range is (-∞, 5]
Recent Articles
-
Finding Range of Values Inequality Problems
May 21, 24 08:51 PM
Finding Range of Values Inequality Problems -
Solving Two Step Inequality Word Problems
May 21, 24 08:51 AM
Solving Two Step Inequality Word Problems -
Exponential Function Context and Data Modeling
May 20, 24 10:45 PM
Exponential Function Context and Data Modeling