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 graph of a function. If a vertical line intersects the graph at more than one point, then it is not a function.

Front

Evaluate f(2) for the function f(x) = 2x^2 + 5x - 17.

Back

f(2) = 2(2)^2 + 5(2) - 17 = 8.

Front

What does it mean for a relation to be a function?

Back

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

Front

Find f(-1) for the function f(x) = 2x^2 + 5x - 17.

Back

f(-1) = 2(-1)^2 + 5(-1) - 17 = -20.

Front

Identify the range of the function y = 4x - 12 for the domain {2, 3, 10}.

Back

The range is {-4, 0, 28}.

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 is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

What is the standard form of a linear function?

Back

The standard form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.