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Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

How do you determine if a relation is a function using a graph?

Back

A relation is a function if every vertical line drawn on the graph intersects the graph at most once.

Front

What is the formula for the total amount in a savings account after n months if you start with an initial amount and make regular deposits?

Back

T = initial amount + (monthly deposit * n).

Front

If a tennis tournament starts with 128 players and half are eliminated each round, how many players remain after 5 rounds?

Back

4 players remain after 5 rounds.

Front

What does it mean to factor an expression completely?

Back

Factoring an expression completely means breaking it down into its simplest components, where no further factoring is possible.

Front

What is the factored form of the expression 2x^2 + 10x - 12?

Back

2(x + 6)(x - 1).

Front

What is the process to solve for y in terms of other variables in an equation?

Back

Isolate y on one side of the equation using algebraic operations.

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 value of y when x = 0.

Front

How do you calculate the number of players remaining after multiple rounds of elimination?

Back

Use the formula: remaining players = initial players / (2^number of rounds).

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.