Functions (Part 2)

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

Evaluate h(5) if h(x) = -x² + 3x.

Back

h(5) = -10.

Front

Evaluate f(-2) if f(x) = x + 3.

Back

f(-2) = 1.

Front

What is f(1) if f(x) = 2x + 3?

Back

f(1) = 5.

Front

Given f(x) = 2x² + 5x - 17, find f(-1).

Back

f(-1) = -20.

Front

What is the range of a function?

Back

The range is the set of all possible output values of a function.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values for a function.

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line.

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.

Front

How do you find the vertex of a quadratic function?

Back

The vertex can be found using the formula x = -b/(2a) for the function f(x) = ax² + bx + c.