Question

The identity function is a linear function.
True
False

Answer 1

True

Explanation:

An identity function is a function such that y=f(x)=x.

The identity is a linear function with pending m=1. This means that the function passes through the origin of coordinates, the point (0,0).

m=1 > 0 then, the function is growing.

m=1 means that if we increase x in 1 then y also increases in 1 unit and the graph of the function forms an angle of 45 degrees with any of the axes.

The function is y=x and the graph is:

Answer 2

The correct answer for this statement would be TRUE. Yes,it is true that the identity function is a linear function. A linear function is a map between two vector spaces that preserves vector addition and scalar multiplication.
this means f(x + y) = f(x) + f(y) and f(xy) = f(x)f(y))
The identity function is the function such that f(x) = x
So by using this example, we can conclude that it is a linear function.