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
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? 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? 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 ? 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? 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
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? 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
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