Evaluating Functions Effectively

The video tutorial explains how to evaluate a function g(x) defined as 8x + 2. It demonstrates the process of finding g(0), g(-5), and g(2x + 3) by substituting the input values into the function. The tutorial emphasizes understanding function evaluation by replacing x with the given input, whether it's a number or an expression.

What is the function g(x) defined as?

• g(x) = x^2 + 8

• g(x) = 8x - 2

• g(x) = 2x + 8

• g(x) = 8x + 2

What does the function g(x) do when you input a value for x?

• It squares x and adds 8

• It multiplies x by 2 and adds 8

• It multiplies x by 8 and adds 2

• It subtracts 2 from x and multiplies by 8

What is the value of g(1) for the function g(x) = 8x + 2?

• 8

• 10

• 12

• 14

What is g(0) when you substitute 0 into the function g(x) = 8x + 2?

• 2

• 10

• 8

• 0

What is the value of g(-5) when you substitute -5 into the function g(x) = 8x + 2?

• -38

• -40

• 40

• 38

When substituting an expression into g(x), what should you do?

• Replace x with the expression and simplify

• Add the expression to x

• Multiply the expression by 2

• Subtract the expression from x

What is g(2x + 3) when you substitute 2x + 3 into the function g(x) = 8x + 2?

• 8x + 5

• 8x + 26

• 16x + 24

• 16x + 26

What is the first step in evaluating g(2x + 3)?

• Add 2 to 2x + 3

• Replace x with 2x + 3

• Add 3 to 2x

• Multiply 2x by 8

What is the result of distributing 8 in the expression 8(2x + 3)?

• 8x + 3

• 16x + 3

• 16x + 24

• 8x + 24

What is the final step in finding g(2x + 3)?

• Subtract 2 from 16x + 24

• Divide 16x by 2

• Multiply 16x by 2

• Add 2 to 16x + 24