## What are the roots of the quadratic function?

What are the roots of the quadratic function? The roots (or zeros) of the quadratic function are the points where the graph intercepts the x-axis. To calculate the roots, it is necessary to write the function equal to zero, obtaining a second degree polynomial equation. There are many methods to solve second degree polynomial equations … Read more

How to graph a quadratic function? The graph of a quadratic equation is a curve known as a parabola. To plot the parabola it is necessary to calculate important points such as the roots (or zeros) of the function, the vertex and the y-interception. What are the roots of the quadratic function? The roots (or … Read more

## y=x+3 – How to solve an affine function?

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 constant function graph?

What is the constant function graph? The constant function can be understood as a particular case of a first degree function, such as the affine function  f(x) = ax + b, when a = 0. A constant function is a function of f : ℝ→ℝ defined as f(x) =C. It’s general form can be written … Read more

## 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