Evaluating Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs, typically represented as f(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 and simplify.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the notation f(-1) represent?

Back

f(-1) represents the value of the function f when the input x is -1.

Front

How do you find the value of a linear function at a given point?

Back

Substitute the given point into the linear function's equation and simplify to find the output.

Front

What is the significance of the coefficient of x^2 in a quadratic function?

Back

The coefficient of x^2 determines the direction of the parabola: if positive, it opens upwards; if negative, it opens downwards.

Front

What is the value of f(0) in a function?

Back

f(0) is the y-intercept of the function, representing the output when the input x is 0.

Front

How do you determine the output of a function when given a negative input?

Back

Substitute the negative input into the function's equation and simplify to find the output.

Front

What is the process for evaluating a quadratic function at a specific point?

Back

Substitute the specific point into the quadratic function's equation and simplify to find the output.

Front

What does g(-2) represent in the context of a function g(x)?

Back

g(-2) represents the value of the function g when the input x is -2.