Evaluating Functions Effectively

The video tutorial explains how to evaluate functions using given function rules. It covers the evaluation of functions with both numbers and variables, demonstrating the application of PEMDAS for simplifying expressions. The tutorial includes examples of evaluating f(x) with numbers, f(a) and H(-5x) with variables, and more complex expressions like G(3b), H(x+5), F(4x^2+3), and G(x-2). The process involves substituting values or expressions into the function rules and simplifying the results.

What is the first step in evaluating a function?

• Subtract 3 from the given number

• Multiply the given number by 2

• Identify the function rule

• Add the given number to the function

If f(x) = 2x + 3, what is f(5)?

• 13

• 10

• 15

• 8

In the function f(x) = 2x + 3, what do you do after substituting the value of x?

• Add 3 to x

• Divide x by 2

• Multiply x by 2 and then add 3

• Subtract 3 from x

What is the result of H(-5x) if H(x) = x - 2?

• -5x + 2

• -5x - 2

• 5x - 2

• 5x + 2

For G(x) = x^2 - 4, what is G(3b)?

• 3b^2 - 4

• 3b^2 + 4

• 9b^2 - 4

• 9b - 4

What is the simplified form of H(x + 5) if H(x) = x - 2?

• x + 3

• x + 7

• x + 5

• x - 3

In the function f(x) = 2x + 3, what is f(4x^2 + 3)?

• 8x^2 + 6

• 8x^2 + 9

• 4x^2 + 9

• 8x^2 + 3

What is the result of G(x - 2) if G(x) = x^2 - 4?

• x^2 - 4x

• x^2 - 4x + 4

• x^2 + 4x - 4

• x^2 - 4x - 4

How do you simplify (x - 2)^2?

• x^2 + 4x + 4

• x^2 - 4

• x^2 - 2x + 4

• x^2 - 4x + 4

What is the final expression for G(x - 2) if G(x) = x^2 - 4?

• x^2 - 4x + 4

• x^2 - 4x

• x^2 - 4x + 8

• x^2 - 4x - 4