8.F.1 - Defining & Evaluating Functions

Front

What is a function?

Back

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

Front

What is the notation for a function?

Back

Functions are typically written in the form f(x), where f is the function name and x is the input.

Front

What does it mean for a function to be linear?

Back

A linear function is a function whose graph is a straight line, which can be expressed in the form y = mx + b.

Front

What is the slope in a linear function?

Back

The slope (m) represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

What is the y-intercept in a linear function?

Back

The y-intercept (b) is the value of y when x = 0, representing where the line crosses the y-axis.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's equation.

Front

What is the difference between a function and a relation?

Back

A relation can have multiple outputs for a single input, while a function must have only one output for each input.

Front

What does it mean for a set of ordered pairs to represent a function?

Back

A set of ordered pairs represents a function if no input value is repeated with a different output value.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) that the function can produce.