Evaluating Functions and Simplifying Expressions

The video tutorial introduces the concept of evaluating functions by substituting specific values into a function and simplifying the result. It provides three examples: evaluating f(x) = 4x - 10 for x=6, g(x) = x^2 - 6x + 9 for x=-2, and f(x) = 2x^3 + 4x - 5 for x=1/2. Each example is explained step-by-step, demonstrating the substitution and simplification process. The video concludes with a summary of the evaluation process.

What is the first step in evaluating a function?

• Substitute a given value into the function

• Multiply the function by a variable

• Add a constant to the function

• Divide the function by a constant

What is the process of finding the value of a function from a specific variable value called?

• Function substitution

• Function evaluation

• Function multiplication

• Function simplification

What operation is performed after substituting the value into the function?

• Division

• Simplification

• Addition

• Multiplication

When evaluating f(x) = 4x - 10 for x = 6, what is the value of 4 times 6?

• 20

• 24

• 26

• 28

What is the result of 24 minus 10 in the first example?

• 16

• 12

• 14

• 18

In the first example, what is the function f(x) evaluated at x = 6?

• 10

• 12

• 14

• 16

In the second example, what is the square of -2?

• 0

• -4

• 4

• 2

What is the result of -6 times -2 in the second example?

• 24

• 12

• 0

• -12

What is the final result of g(-2) in the second example?

• 20

• 30

• 15

• 25

In the second example, what is the function g(x) evaluated at x = -2?

• 15

• 30

• 25

• 20