Evaluating Functions and Expressions

The video tutorial explains how to evaluate linear and cubic functions. It begins with an introduction to the functions f(x) = -4x + 2 and g(x) = -3x^3 - 2. The tutorial then demonstrates how to find f(6) by substituting x with 6 in the function f(x) and calculating the result. Similarly, it shows how to find g(-2) by substituting x with -2 in the function g(x) and performing the necessary calculations. The video emphasizes the importance of substituting the same value for all instances of x in the function and evaluating the expression step by step.

What types of functions are introduced in the video?

• Polynomial and rational

• Linear, quadratic, and cubic

• Exponential and logarithmic

• Trigonometric and hyperbolic

What is the expression for f(x) as defined in the video?

• f(x) = -4x + 2

• f(x) = 4x - 2

• f(x) = 3x^2 + 2

• f(x) = -3x^3 - 2

What is the task given for the functions f and g?

• Find the derivative of f and g

• Find the integral of f and g

• Find f(6) and g(-2)

• Find the maximum value of f and g

What is the first step in evaluating f(6)?

• Solve for x

• Integrate the function

• Differentiate the function

• Replace x with 6 in the function

What is the result of evaluating f(6)?

• 0

• 22

• -24

• -22

What is the result of -4 times 6 in the evaluation of f(6)?

• 24

• -24

• -22

• 0

What is the result of adding 2 to -24 in the evaluation of f(6)?

• -24

• -22

• 22

• 0

What is the expression for g(x) as defined in the video?

• g(x) = 4x - 2

• g(x) = -3x^3 - 2

• g(x) = -4x + 2

• g(x) = 3x^2 + 2

What is the first step in evaluating g(-2)?

• Integrate the function

• Solve for x

• Replace x with -2 in the function

• Differentiate the function

What is the result of evaluating g(-2)?

• -24

• -22

• 0

• 22