Evaluating Functions

Front

What is a function in mathematics?

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

How do you find the value of f(x) for a given x?

Back

Substitute the given x value into the function's equation and simplify to find f(x).

Front

What is the significance of the x-value in f(x)?

Back

The x-value represents the input to the function, which determines the corresponding output value.

Front

What is the general form of a quadratic function?

Back

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

Front

How do you evaluate a linear function?

Back

To evaluate a linear function, substitute the given x value into the linear equation and solve for y.

Front

What is the process to find f(-1) for a function f(x)?

Back

Substitute -1 into the function's equation and simplify to find f(-1).

Front

What does it mean for a function to be evaluated at a specific point?

Back

It means to compute the output of the function when the input is equal to that specific point.

Front

What is the output of the function f(x) = 2x^2 + 5x - 17 when x = -1?

Back

The output is f(-1) = -20.

Front

How do you evaluate y = 7x when x = -5?

Back

Substitute -5 into the equation: y = 7(-5) = -35.