Algebra Functions Practice

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value). If any input has multiple outputs, it is not a function.

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

What does function notation mean?

Back

Function notation is a way to represent functions using symbols, typically in the form f(x), where f is the function name and x is the input variable.

Front

Evaluate g(1) if g(x) = -3x.

Back

g(1) = -3(1) = -3.

Front

Evaluate h(1) if h(x) = 3x.

Back

h(1) = 3(1) = 3.

Front

What is the profit function for Henry's t-shirt business?

Back

The profit function is P = 22x - 1200, where x is the number of shirts sold.

Front

What is the maximum number of shirts Henry can sell according to his business model?

Back

The maximum number of shirts Henry can sell is 600.

Front

What is the significance of the number 1200 in Henry's profit function?

Back

The number 1200 represents the fixed costs of starting the business, which must be covered before making a profit.