Understanding Function Notation and Substitution

The video tutorial explains how to use function notation by substituting variables with expressions. It demonstrates replacing X with X-3, simplifying the expression through multiplication and combining like terms, and concludes with the final expression. The tutorial emphasizes understanding function notation and the process of substitution.

What is the initial step when substituting an expression like X minus 3 into a function?

• Add 3 to X

• Replace X with X minus 3

• Multiply X by 3

• Divide X by 3

When substituting X minus 3 into a function, what is the expression obtained before simplification?

• X plus 3 squared

• X squared minus 3

• X squared plus 9

• X minus 3 squared plus X minus 3

What is the result of foiling the expression (X minus 3) squared?

• X squared plus 9

• X squared minus 9

• X squared minus 6X plus 9

• X squared plus 6X plus 9

How do you combine like terms in the expression X squared - 6X + X?

• X squared - 5X

• X squared - 7X

• X squared - 6X

• X squared + 5X

What is the final simplified expression for f(X minus 3)?

• X squared + 6X - 9

• X squared - 6X + 9

• X squared + 5X + 6

• X squared - 5X + 6

What is the purpose of function notation in mathematics?

• To subtract numbers from Y

• To add numbers to X

• To replace X with a specific value

• To replace Y with a number

In function notation, what does f(X) typically represent?

• A constant value

• A variable

• A function of X

• A number

What happens when you substitute a value into a function?

• The function is multiplied by that value

• The function is evaluated at that value

• The function remains the same

• The function becomes undefined