Determine algebraically whether the function is even, odd, or neither even nor odd.
1 answer:
Answer:
Given Function is an even function
Step-by-step explanation:
<u>Explanation</u>:-
<u>Even function</u> :-
A function f is even if the graph of f is symmetric with respective to the y - axis.
Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f.
<u>Odd function</u> : -
A function f is odd if the graph of f is symmetric with respective to the origin
Algebraically, f is odd if and only if f(-x) = - f(x) for all x in the domain of f.
given function is
therefore f(-x) = f(x)
given function is an even function.
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Answer:
27.37 and 9.18
Step-by-step explanation:
(4)
Using the cosine ratio in the right triangle
cos64° = =
( multiply both sides by x )
x × cos64° = 12 ( divide both sides by cos64° )
x = ≈ 27.37 ( to the nearest hundredth )
(5)
Using the sine ratio in the right triangle
sin35° = =
( multiply both sides by 16 )
16 × sin35° = x , then
x ≈ 9.18 ( to the nearest hundredth )
Answer: 482
Step-by-step explanation:
Formula to find the sample size is given by :-
(1)
, where z* = critical z-value (two tailed).
= Population standard deviation and E = Margin of error.
As per given , we have
Margin of error : E= 3
Confidence level = 90%
Significance level =
Using z-table , the critical value for 90% confidence=
Required minimum sample size = [Substitute the values in formula (1)]
[ Round to the next integer]
Hence, the number of observations required is closest to 482.