BM #2 Flashcardizz

Front

What is a function?

Back

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

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

A point is a solution if it satisfies all inequalities in the system.

Front

What is an example of a point that is not a solution to the inequality y < 2x + 1?

Back

(0, -1) is not a solution because it does not satisfy the inequality.

Front

What is the difference between a relation and a function?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input has exactly one output.

Front

What does it mean if a function is not defined at a certain point?

Back

It means that there is no output (y-value) for that input (x-value) in the function.

Front

How do you find f(-3) for a given function f(x)?

Back

Substitute -3 into the function and simplify to find the output.

Front

What is the output of f(x) = 5x + 2 when x = -3?

Back

f(-3) = 5(-3) + 2 = -15 + 2 = -13.