Evaluating Quadratic Functions

The video tutorial explains function notation using the function g(x) = 2x^2. It demonstrates how to substitute different values into the function, including g(4), g(-2), g(d), and g(5c), while emphasizing the order of operations. The tutorial highlights the importance of squaring before multiplying and generalizes the function for different variables.

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

• g(x) = 2x^3

• g(x) = x^2 + 2

• g(x) = 2x^2

• g(x) = 2x + 2

What is the first step in evaluating g(4)?

• Add 4 to 2

• Multiply 2 by 4

• Subtract 4 from 2

• Square 4

What is the value of g(4)?

• 16

• 32

• 8

• 64

What operation is performed first according to the order of operations in g(x)?

• Addition

• Multiplication

• Squaring

• Subtraction

What is the result of 2 times 16 in the evaluation of g(4)?

• 16

• 64

• 8

• 32

When evaluating g(-2), what is the result of squaring -2?

• -4

• 4

• -2

• 2

What is the value of g(-2)?

• 8

• -8

• 4

• -4

What is the result of 2 times 4 in the evaluation of g(-2)?

• 2

• 4

• 16

• 8

What is the expression for g(d) when substituting 'd' into the function?

• d

• 2d

• d^2

• 2d^2

What is the expression for g(x) when x is replaced with 'd'?

• d

• 2d

• 2d^2

• d^2