Respuesta :
Answer:
f (x) = (x+5) is linear
Step-by-step explanation:
We are given the following function and we are to determine if it is a linear function or not:
[tex] f ( x ) = ( x + 5 ) [/tex]
For a function to be linear, it must be written in the standard form [tex]y=mx+c[/tex] 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.
Answer: Yes, it is a linear function.
Step-by-step explanation:
The linear function in Slope-Intercept form is:
[tex]f(x)=mx+b[/tex]
Where m is the slope and b the y-intercept.
In this case, given the following function:
[tex]f(x)=(x+5)[/tex]
You can observe that it has the form [tex]f(x)=mx+b[/tex]
You can identify that:
[tex]m=1\\b=5[/tex]
Therefore, you can conclude that it is a linear function.