Functions

Front

What is a function?

Back

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

Front

Evaluate f(-2) if the graph shows f(-2) = 4.

Back

f(-2) = 4.

Front

Given the function f(x) = 2x^2 + 5x - 17, find f(-1).

Back

f(-1) = -20.

Front

For the function f(x) = -3(x-1), find f(0).

Back

f(0) = 3.

Front

Is the relation a function if the x-value 11 has two y-values?

Back

No, because the x-value 11 has two y-values paired with it.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

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

Back

A function is one-to-one if each output is paired with exactly one input.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form f(x) = ax^2 + bx + c, where a ≠ 0.