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Question about Second Degree Function: Introduction

Subject Mathematics

Mathematics

Source Originais Teachy

Originais Teachy

Topic Second Degree Function: Introduction

Second Degree Function: Introduction

Difficulty Medium

Medium

(Originais Teachy 2023) - Question Medium of Mathematics

What is the definition of a second degree function and what is its general form?

A second degree function is a trigonometric function of degree 2, represented by the equation f(x) = a sin²(x) + b sin(x) + c, where a, b, and c are real constants and a ≠ 0. The curve representing this function is a sine wave and does not have points of intersection with the x-axis.

A second degree function is a polynomial function of degree 2, represented by the equation f(x) = ax² + bx + c, where a, b, and c are real constants and a ≠ 0. The parabola representing this function can have concavity upwards or downwards and intersects the x-axis at up to two points, called roots or zeros of the function.

A second degree function is an exponential function of degree 2, represented by the equation f(x) = ax² + bx + c, where a, b, and c are real constants and a ≠ 0. The parabola representing this function can only have concavity upwards and intersects the x-axis at only one point, called the zero of the function.

A second degree function is a logarithmic function of degree 2, represented by the equation f(x) = log(ax² + bx + c), where a, b, and c are real constants and a ≠ 0. The curve representing this function is always decreasing and has only one point of intersection with the x-axis.

A second degree function is a polynomial function of degree 1, represented by the equation f(x) = ax + b, where a and b are real constants and a ≠ 0. The line representing this function is always increasing or decreasing and intersects the x-axis at only one point.

Answer sheet:

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