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 f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input x.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function's equation.

Front

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

Back

f(2) = 3(2) + 2 = 8.

Front

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

Back

f(-1) = (-1)^2 - 1 = 0.

Front

What is the process to find f(-5) if f(x) = 2x + 7?

Back

Substitute -5 into the function: f(-5) = 2(-5) + 7 = -3.

Front

Evaluate f(2) if f(x) = 5x - 2.

Back

f(2) = 5(2) - 2 = 8.

Front

If f(x) = 4x^2 + 3x - 1, what is f(-1)?

Back

f(-1) = 4(-1)^2 + 3(-1) - 1 = 0.

Front

What is the definition of 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

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

Back

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