U.3D2 F(x) & PW Daily Practice 2024

Front

What is the definition of 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 input into the function's equation and simplify.

Front

What is the significance of the notation g(-7)?

Back

g(-7) indicates the value of the function g when the input is -7.

Front

What is the formula for a quadratic function?

Back

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

Front

How do you find the value of a function at a negative input?

Back

To find the value of a function at a negative input, substitute the negative value into the function's equation and simplify.

Front

What is the process for finding the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value of a quadratic function can be found using the vertex formula, x = -b/(2a), and then substituting this x value back into the function.

Front

What does h(a) = 3 - 2a^2 represent?

Back

This represents a quadratic function where the output depends on the input a, and it opens downwards because the coefficient of a^2 is negative.

Front

How do you evaluate a function defined by an equation, such as f(x) = x^2 + 3?

Back

To evaluate the function, substitute the desired x value into the equation and calculate the result.

Front

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

Back

The output is 7, calculated as f(-2) = (-2)^2 + 3 = 4 + 3 = 7.