Evaluating 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 to evaluate a function?

Back

To evaluate a function means to calculate the output of the function for a specific input value.

Front

If f(x) = 2x^2 + 5x - 3, what is f(-1)?

Back

f(-1) = 0.

Front

How do you evaluate f(x) = x^2 - 5x at x = 4?

Back

f(4) = -4.

Front

What is the value of f(-2) if f(x) = x + 3?

Back

f(-2) = 1.

Front

What is the general form of a quadratic function?

Back

A quadratic function is generally expressed as f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a constant rate of change and is represented by a straight line, while a quadratic function has a variable rate of change and is represented by a parabola.

Front

What is the output of f(x) = 3x + 2 when x = 2?

Back

f(2) = 8.

Front

How do you find the output of a function at a given input?

Back

Substitute the input value into the function's equation and simplify.