NC Math 1 EOC Review Packet #3

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce based on its domain.

Front

How do you find the range of a function?

Back

To find the range, identify the minimum and maximum output values of the function based on its graph or algebraic expression.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

How do you determine the domain of a function?

Back

To determine the domain, identify any restrictions on the input values, such as values that would make the denominator zero or result in taking the square root of a negative number.

Front

What does the notation (a, b) represent in interval notation?

Back

The notation (a, b) represents an open interval, meaning that the endpoints a and b are not included in the interval.

Front

What does the notation [a, b] represent in interval notation?

Back

The notation [a, b] represents a closed interval, meaning that the endpoints a and b are included in the interval.

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include their endpoints, while closed intervals do include their endpoints.

Front

How do you calculate the rate of change of a function?

Back

The rate of change is calculated by finding the difference in the output values divided by the difference in the input values over a specific interval.

Front

What is the formula for the rate of change?

Back

The formula for the rate of change between two points (x1, y1) and (x2, y2) is given by: \( \text{Rate of Change} = \frac{y2 - y1}{x2 - x1} \)

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.