12-16 Accelerated

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x) where x is the input.

Front

What is the domain of a function?

Back

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

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.

Front

How do you represent a linear function?

Back

A linear function can be represented in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent in a linear function?

Back

The slope represents the rate of change of the function; it indicates how much the output (y) changes for a unit change in the input (x).

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different intervals of the input.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output when the input is zero.

Front

How do you find the total cost using a linear function?

Back

The total cost can be calculated using a linear function of the form c = mx + b, where m is the cost per item, x is the number of items, and b is any fixed cost.

Front

What is the difference between discrete and continuous functions?

Back

Discrete functions have specific, separate values (like integers), while continuous functions can take any value within a range.

Front

What is an example of a real-world application of a linear function?

Back

An example is calculating the total cost of renting a pool, where the cost is a linear function of the number of hours rented.