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

Evaluating a function means finding the output value of the function for a given input.

Front

What is the notation for a function?

Back

Functions are typically denoted by letters such as f, g, or h, followed by parentheses containing the input value, e.g., f(x).

Front

How do you find f(0) if f(x) = 2x + 4?

Back

Substitute 0 for x: f(0) = 2(0) + 4 = 4.

Front

What is the value of f(2) if f(x) = 3x - 1?

Back

Substitute 2 for x: f(2) = 3(2) - 1 = 5.

Front

What is the inverse of a function?

Back

The inverse of a function reverses the roles of inputs and outputs, denoted as f^(-1)(x).

Front

How do you solve for x in the equation f(x) = k?

Back

Set the function equal to k and solve for x.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

How do you evaluate f(x) = -2x + 13 for f(10)?

Back

Substitute 10 for x: f(10) = -2(10) + 13 = -20 + 13 = -7.