Evaluating functions with a binomial

The video tutorial explains how to evaluate a function R at a given expression X+2. It starts by defining the function R with a rule of 1 + 3X. The tutorial then demonstrates how to substitute the expression X+2 into the function, apply the distributive property, and combine like terms to simplify the expression. The final result shows that the value of the function R at X+2 is equal to 3X + 7.

What is the rule for the function R when the input is X?

• R(X) = 1 - 3X

• R(X) = 1 + 3X

• R(X) = 3X + 1

• R(X) = X + 3

When substituting X + 2 into the function R, what is the first step?

• Add 2 to the function's output

• Subtract 2 from X

• Replace X with X + 2

• Multiply X by 2

What is the expression obtained after substituting X + 2 into the function R?

• 1 + 3(X + 2)

• 1 + X + 2

• 1 + 3X + 2

• 3X + 2

Which property is applied to simplify the expression 1 + 3(X + 2)?

• Commutative Property

• Distributive Property

• Associative Property

• Identity Property

What is the final simplified form of the function R when the input is X + 2?

• 1 + 3X + 2

• 3X + 2

• 3X + 7

• 3X + 5