the function f(x)= sqrt x is translated left 5 units and up 3 units to create the function g(x). what is the domain of g(x)?
2 answers:
Answer:
x ≥ -5
Step-by-step explanation:
If we have a translation to left c units, we write " x + c " in the function, and
If we have a translation to right c units, we write " x - c" in the function
If we have vertical translation up b units, we "add b to the function", and
If we have vertical translation down b units, we "subtract b to the function"
The parent function is
Since translation left 5 units and up 3 units, we can write:
The domain is affected by the square root sign and we know the number under the square root CANNOT be negative, so we can say:
x + 5 ≥ 0
x ≥ -5
This is the domain.
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Question:
Below are 36 sorted ages of an acting award winner. find the percentile corresponding to age 38 using the method presented in the textbook. 18 19 20 20 21 23 25 31 33 34 35 37 38 47 50 51 55 55 58 59 62 62 64 66 69 70 70 70 71 71 72 74 74 75 77 80 percentile of value 38 = ______ (round to the nearest integer as needed.)
Answer:
33 percentile
Step-by-step explanation:
Given the ages:
18, 19, 20, 20, 21, 23, 25, 31, 33, 34, 35, 37, 38, 47, 50, 51, 55, 55, 58, 59, 62, 62, 64, 66, 69, 70, 70, 70, 71, 71, 72, 74, 74, 75, 77, 80.
We are told to find the percentile corresponding to age 38.
To find the percentile corresponding to age 38 simply means to find the percentage of ages that are less than 38.
From the given values, the number of ages less than 38 are 12. Therefore, the percentile corresponding to age 38 would be:
(Ages less than 38/ total number of ages) * 100
33.333 ≈ 33
The percentile corresponding to age 38 = 33 percentile