Evaluating Functions

Front

What is the definition of 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

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 expression and simplify.

Front

What is the notation used to denote a function?

Back

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

Front

What does f(33) = 11 imply about the function f?

Back

It implies that when the input to the function f is 33, the output is 11.

Front

How do you find the value of g(x) = 5 - 6x at x = -5?

Back

Substitute -5 into the function: g(-5) = 5 - 6(-5) = 5 + 30 = 35.

Front

What is the result of evaluating f(x) = x + 3 at x = -5?

Back

f(-5) = -5 + 3 = -2.

Front

How do you evaluate f(x) = 4x + 5 at x = 4?

Back

Substitute 4 into the function: f(4) = 4(4) + 5 = 16 + 5 = 21.

Front

What is the importance of understanding function evaluation in mathematics?

Back

Understanding function evaluation is crucial for solving equations, modeling real-world situations, and analyzing mathematical relationships.

Front

What is the difference between a linear function and a non-linear function?

Back

A linear function has a constant rate of change and can be represented by a straight line, while a non-linear function does not have a constant rate of change and can be represented by curves.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.