How to evaluate a function with an expression

The video tutorial explains how to work with linear functions by inputting expressions instead of numbers. It highlights the process of replacing X with an expression, applying the distributive property, and simplifying the result. The tutorial emphasizes that the method remains consistent, even when expressions are used as input values.

What is the main difference between a linear function and an absolute value function?

• A linear function has a constant rate of change, while an absolute value function does not.

• A linear function is always positive, while an absolute value function can be negative.

• A linear function is always increasing, while an absolute value function is always decreasing.

• A linear function is a type of quadratic function, while an absolute value function is not.

Why might substituting expressions into functions be confusing?

• Because the process of substitution changes when using expressions.

• Because expressions are always more complex than numbers.

• Because expressions can include variables, making the substitution less straightforward.

• Because expressions require a different mathematical operation than numbers.

What remains unchanged when substituting expressions into functions?

• The complexity of the function.

• The process of substitution.

• The type of function used.

• The final result of the function.

What is the first step in substituting an expression into a function?

• Solving the function for a specific value.

• Applying the distributive property.

• Replacing the variable in the function with the expression.

• Simplifying the expression.

After substituting an expression into a function, what mathematical property is applied?

• The identity property.

• The distributive property.

• The commutative property.

• The associative property.