The desired items are given as follows:
1. A parallel line to the one given is y = 0.5x - 2.
2. Another parallel line to the one given is y = 0.5x - 4.
3. The function is neither even nor odd.
4. It is an even function.
5. The domain of the function is of all real values.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
When two lines are parallel, they have the same slope, hence:
1. A parallel line to the one given is y = 0.5x - 2.
2. Another parallel line to the one given is y = 0.5x - 4.
<h3>What are even and odd functions?</h3>
- In even functions, we have that f(x) = f(-x) for all values of x.
- In odd functions, we have that f(x) = -f(x) for all values of x.
- If none of the above statements are true, the function is neither.
In item 3, we have that:
Hence they are neither.
In item 4, we have that even square root function <u>shifted up 4 units for all values of x</u>, hence the function remains even.
<h3>What is the domain of a function?</h3>
The domain of a function is the set that contains all possible input values for the function.
In a fraction, the zeroes of the denominator are not part of the domain. For this problem, the <u>denominator is a constant that is not zero</u>, hence the denominator will never be zero and the domain is all real values.
More can be learned about linear functions at brainly.com/question/24808124
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