Replacing Variables in Functions

The video tutorial explains how to evaluate functions at expressions, not just numbers. It emphasizes using parentheses when substituting variables with expressions. Two examples are provided: evaluating p(n-3) and f(8x^2). The process involves substituting the expression into the function, simplifying, and combining like terms to reach the final simplified function.

What is the primary tool used when replacing variables in a function?

• Quotation marks

• Brackets

• Parentheses

• Braces

When replacing a variable with an expression, what should you always remember to use?

• Quotation marks

• Braces

• Parentheses

• Brackets

In the example of p(n-3), what expression replaces n squared?

• n squared

• n minus 3

• n minus 3 squared

• n plus 3 squared

What is the result of squaring the expression (n-3)?

• n squared plus 9

• n squared minus 9

• n squared plus 6n plus 9

• n squared minus 6n plus 9

What is the simplified form of p(n-3) after combining like terms?

• n squared minus 6n plus 9

• n squared minus 6n plus 20

• n squared minus 8n plus 20

• n squared minus 8n plus 9

What is the result of distributing -2 through the expression in p(n-3)?

• 2n minus 6

• -2n minus 6

• -2n plus 6

• 2n plus 6

What is the first step in simplifying the expression p(n-3)?

• Combining like terms

• Distributing -2

• Squaring the expression

• Adding constants

In the second example, what expression is used to replace x?

• 4x

• 8x

• 8x squared

• 16x squared

What is the result of replacing x with 8x squared in the expression 2x?

• 2x squared

• 4x squared

• 16x squared

• 8x squared

What is the square root of 16x squared?

• 4x

• 2x

• 16x

• 8x