FUNCTIONS

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

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, then it is not a function.

Front

Is the set {(1, 2), (2, 3), (3, 4)} a function?

Back

Yes, because each input (1, 2, 3) has a unique output (2, 3, 4).

Front

Is the set {(1, 2), (1, 3), (2, 4)} a function?

Back

No, because the input 1 is related to two different outputs (2 and 3).

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if different inputs always produce different outputs.

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

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

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form y = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the output of the function f(x) = 2x + 3 when x = 4?

Back

The output is f(4) = 2(4) + 3 = 8 + 3 = 11.