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

How do you evaluate a function at a specific point, such as f(6)?

Back

To evaluate a function at a specific point, substitute the value into the function's equation and simplify to find the output.

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if every vertical line drawn through the graph intersects it at most once (Vertical Line Test).

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 by checking if any vertical line crosses the graph more than once.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is a cubic function?

Back

A cubic function is a polynomial function of degree 3, typically in the form f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants.

Front

What is a square root function?

Back

A square root function is a function of the form f(x) = √x, which returns the non-negative square root of x.

Front

If f(x) = 2x + 3, what is f(6)?

Back

f(6) = 2(6) + 3 = 12 + 3 = 15.

Front

If f(x) = x² - 4, what is f(6)?

Back

f(6) = 6² - 4 = 36 - 4 = 32.