Question

Is f(x)=(x+5) a linear function?

Answer 1

Answer: Yes, it is a linear function.

Explanation:

The linear function in Slope-Intercept form is:

`f(x)=mx+b`

Where m is the slope and b the y-intercept.

In this case, given the following function:

`f(x)=(x+5)`

You can observe that it has the form
`f(x)=mx+b`

You can identify that:

`m=1\\b=5`

Therefore, you can conclude that it is a linear function.

Answer 2

f (x) = (x+5) is linear

Explanation:

We are given the following function and we are to determine if it is a linear function or not:

`f ( x ) = ( x + 5 )`

For a function to be linear, it must be written in the standard form
`y=mx+c` and its graph gives a straight line.

Whereas, when an equation is squared, its graph becomes a curved one which is not linear.

Therefore, the given function f (x) = (x+5) is linear.