Question

Properties of Functions Quick Check

Answer 1

1. What is the definition of a function?

A function is a rule that assigns to each input exactly one output.

2. What are the two main components of a function?

The two main components of a function are the input, also known as the independent variable, and the output, also known as the dependent variable.

3. What is the domain of a function?

The domain of a function is the set of all possible input values for which the function is defined.

4. What is the range of a function?

The range of a function is the set of all possible output values that the function can produce.

5. How can you determine if a function is even, odd, or neither?

A function is even if f(x) = f(-x) for all x in the domain, odd if f(x) = -f(-x) for all x in the domain, and neither if it does not satisfy either condition.

6. What is the vertical line test?

The vertical line test is a graphical way to determine if a curve represents a function. If a vertical line can intersect the curve at more than one point, then the curve does not represent a function.