Evaluate 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 does it mean for a graph to pass the vertical line test?

Back

A graph passes the vertical line test if no vertical line intersects the graph at more than one point, indicating that it represents a function.

Front

Evaluate f(6) for the function f(x) = 3x - 8.

Back

f(6) = 3(6) - 8 = 18 - 8 = 10.

Front

Evaluate f(-5) for the function f(x) = 3x² - 11.

Back

f(-5) = 3(-5)² - 11 = 3(25) - 11 = 75 - 11 = 64.

Front

Evaluate f(-4) for the function f(x) = 2x + 3.

Back

f(-4) = 2(-4) + 3 = -8 + 3 = -5.

Front

Evaluate f(5) for the function f(x) = 2(x - 7).

Back

f(5) = 2(5 - 7) = 2(-2) = -4.

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 linear function?

Back

A linear function is a function that can be graphically represented as 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) = ax² + bx + c, where a, b, and c are constants.