Function Notation and Evaluation

The video tutorial introduces function notation, explaining its significance in mathematics. It covers how to evaluate functions using this notation, providing examples with both simple and advanced functions. The tutorial also demonstrates how to determine if ordered pairs are solutions to equations and inequalities. Finally, it explains how to find missing values in equations, offering a comprehensive overview of these mathematical concepts.

Who introduced the function notation in 1734?

• Carl Friedrich Gauss

• Leonhard Euler

• Alexis Claude de Clairaut

• Isaac Newton

What does the function notation f(x) replace in traditional equations?

• y

• z

• a

• x

How does function notation provide more information than y equals?

• It shows the equation is a function.

• It changes the variable names.

• It adds more variables.

• It simplifies the equation.

What is the equivalent function notation for y = 7x - 8?

• f(x) = 8x + 7

• f(x) = 7x + 8

• f(x) = 8x - 7

• f(x) = 7x - 8

How can you convert f(x) = 8x + 3 back to y equals notation?

• y = 3x - 8

• y = 3x + 8

• y = 8x + 3

• y = 8x - 3

What is the first step in evaluating a function?

• Divide by the highest coefficient.

• Multiply all terms.

• Substitute a value for x.

• Add all coefficients.

If f(x) = 6x - 10, what is f(6)?

• 26

• 36

• 16

• 46

In the function f(x) = 6x - 10, what is f(9)?

• 64

• 34

• 54

• 44

What is the result of f(14) for the function f(x) = 6x - 10?

• 84

• 64

• 74

• 94

For the function f(x) = 10x^3 + 2x^2 + 5, what is f(6)?

• 1,237

• 4,237

• 3,237

• 2,237