Question

I need help with this one please

Answer 1

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.

What is a linear function?

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.

What are even and odd functions?

• 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:

• f(1) = 1 + 5 - 1 = 5.

• f(-1) = -1 - 5 - 1 = -7.

Hence they are neither.

In item 4, we have that even square root function shifted up 4 units for all values of x, hence the function remains even.

What is the domain of a function?

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 denominator is a constant that is not zero, 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

#SPJ1