VALOR NUMÉRICO DE UMA FUNÇÃO AFIM - FUNÇÃO DO 1º GRAU - AULA 2 - Professora Angela Matemática

Summary

In this video, the instructor explains how to find the numerical value of an affine function or first-degree function by substituting specific values for the variable. Using the function f(x) = 3x + 1, the instructor demonstrates how to calculate f(-3), f(0), and f(2). The results are -8, 1, and 7, respectively. Additionally, the instructor promotes various math courses aimed at helping students at different educational levels, including those preparing for entrance exams like the ENEM and for competitive exams. The video encourages viewers to engage by liking, subscribing, and sharing.

Takeaways

• 😀 The script explains the process of calculating the numerical value of an affine function or a first-degree function.
• 😀 To find the numerical value of a function, substitute the variable with the given value.
• 😀 The script uses the example function f(x) = 3x + 1 to illustrate how to calculate specific values of the function.
• 😀 For f(-3), the calculation involves substituting -3 for x, resulting in f(-3) = -8.
• 😀 For f(0), the calculation involves substituting 0 for x, resulting in f(0) = 1.
• 😀 For f(2), the calculation involves substituting 2 for x, resulting in f(2) = 7.
• 😀 The script emphasizes that when substituting a negative value for x, parentheses are used for clarity, while positive values do not require parentheses.
• 😀 The content encourages viewers to engage by liking, subscribing, and sharing the video if they found it helpful.
• 😀 It offers additional resources, including a specialized mathematics course called 'Vitamina Matemática' for students with difficulties in math.
• 😀 For those preparing for competitive exams, the video promotes a course tailored to help with math for exams like the ENEM.
• 😀 The speaker thanks the viewers and invites them to check out the website for more courses and resources.

Q & A

What is a function of the first degree (linear function)?

A function of the first degree, also called a linear function, is a mathematical expression where the highest power of the variable (x) is 1. It typically has the form f(x) = ax + b, where 'a' and 'b' are constants, and 'a' is the slope of the line.

How do you calculate the numerical value of a linear function?

To calculate the numerical value of a linear function, you substitute a given value for the variable (x) into the function's equation and perform the arithmetic operations to find the result.

What is the function used in the example from the transcript?

The function used in the example is f(x) = 3x + 1.

What is the value of f(-3) for the function f(x) = 3x + 1?

For f(-3), substitute x = -3 into the equation: f(-3) = 3(-3) + 1 = -9 + 1 = -8.

What is the value of f(0) for the function f(x) = 3x + 1?

For f(0), substitute x = 0 into the equation: f(0) = 3(0) + 1 = 0 + 1 = 1.

What is the value of f(2) for the function f(x) = 3x + 1?

For f(2), substitute x = 2 into the equation: f(2) = 3(2) + 1 = 6 + 1 = 7.

Why is it necessary to use parentheses for negative values of x in the function?

Parentheses are used for negative values of x to clearly indicate that the negative sign is part of the value being substituted into the equation, ensuring the correct result.

How is the function f(x) = 3x + 1 related to the concept of slope and intercept?

In the equation f(x) = 3x + 1, the slope of the line is 3 (the coefficient of x), and the y-intercept is 1 (the constant term), which means the line crosses the y-axis at the point (0, 1).

What can students do if they struggle with math, according to the video?

Students who struggle with math can explore specific courses like 'Vitamina Matemática' or other targeted courses for preparing for exams like ENEM or for competitive exams, as mentioned in the video.

What is the purpose of the video and the invitation to join a course?

The purpose of the video is to teach the calculation of numerical values for functions of the first degree. The invitation to join a course is to offer further help for students at different levels, such as those in basic education or preparing for exams like ENEM and competitive exams.