4.5-4.6 Writing Equations/Domain and Range

Front

What is a function?

Back

A function is a relation where each input (x value) has exactly one output (y value).

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What are the outputs of a function called?

Back

The outputs of a function are called the range.

Front

What are the inputs of a function called?

Back

The inputs of a function are called the domain.

Front

How do you write an equation for a real-world scenario?

Back

Identify the variables, set up the equation based on the relationships described, and solve for the unknown.

Front

What is the equation that models Mallory's pizza and soda spending?

Back

10.95x + 12.57 = 89.22, where x is the number of pizzas.

Front

What does it mean for a graph to be continuous?

Back

A continuous graph has no breaks, jumps, or holes; it can be drawn without lifting the pencil.

Front

What does it mean for a graph to be discrete?

Back

A discrete graph consists of distinct, separate points; it does not connect.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y values) of a function.

Front

What is the domain of a function?

Back

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