## What is the identity function graph?

What is the identity function graph? The identity function is a particular case of the affine function f(x) = a.x + b, where a = 1 and   b = 0. The identity function is a function of f : ℝ→ℝ of the form of f(x) = x , where x is a real number … Read more

## What is the graph of y=2x ?

What is the graph of y = 2x ? A linear function is a function of f : ℝ→ℝ defined as f(x) = a.x, where a is a real number and a ≠ 0. All functions written as f(x) = a.x are written in the standard form. What is the linear function graph? The graph of … Read more

## How to tell if a function is linear?

How to tell if a function is linear? A linear function is a function of f : ℝ→ℝ defined as f(x) = a.x, where a is a real number and a ≠ 0. The linear function is a particular case of the affine function f(x) = a.x + b, where b = 0. The a … Read more

## y=ax+b – Affine Functions

What is an affine function? An affine function, also known as first degree polynomial function, is a function of f : ℝ→ℝ, defined as the form y=ax+b or  f(x) = ax + b, where a and b are real numbers and a ≠ 0, b ≠ 0. In this type of functions the a is called … Read more

## What is the difference between affine and linear functions?

What is the difference between affine and linear functions?  An affine function is the composition of a linear function with a translation. So while the linear part fixes the origin, the translation can map it somewhere else. Affine functions are of the form f(x)=ax+b, where a ≠ 0 and b ≠ 0 and linear functions … Read more

## Linear Functions

What is a linear function? A linear function is a first degree polynomial function and a particular case of the affine function f(x) = a.x + b, where b = 0. A linear function is a function of f : ℝ→ℝ defined as f(x) = a.x, where a is a real number and a ≠ … Read more