Evaluating Functions and Their Properties

The video tutorial explains how to evaluate functions, using examples of functions f and g. It covers the basic concepts of function evaluation, including input and output values, and demonstrates how to calculate the value of a function at specific inputs. The tutorial also shows how to handle adjustments in input values using the distributive property.

What is the name of the function in the expression f(x) = 3x - 1?

• 1

• x

• f

• 3x

In the function f(x) = x^2 - 1, what does 'x' represent?

• The rule

• The input value

• The function name

• The output

What is the rule for the function f(x) = x^2 - 1?

• x + 1

• x^2 - 1

• x - 1

• x^2

What is the output of the function f(x) = x^2 - 1 when x = 0?

• 2

• 1

• 0

• -1

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

• 9

• 7

• 8

• 10

What is the first step in evaluating g(x) = x + 2x - 1?

• Plug in the value of x

• Combine like terms

• Subtract 1

• Apply the distributive property

What is the combined form of the function g(x) = x + 2x - 1?

• 2x - 1

• x - 1

• 4x - 1

• 3x - 1

When evaluating g(x) for x - 1, what is the expression after applying the distributive property?

• 3x - 4

• x - 1

• 3x - 1

• x - 4

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

• x - 1

• 3x - 4

• 3x - 1

• x - 4

What is the value of g(x) when x = 2 for the function g(x) = 3x - 1?

• 8

• 7

• 6

• 5