Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically in the form f(x), where f is the name of the function and x is the input variable.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify to find the output.

Front

What is the output of g(x) = 3x + 1 when x = 2?

Back

The output is 7, calculated as g(2) = 3(2) + 1 = 7.

Front

What is the output of b(x) = 2x - 3 when x = -1?

Back

The output is -5, calculated as b(-1) = 2(-1) - 3 = -5.

Front

What is the output of f(x) = x^2 + 7 when x = 3?

Back

The output is 16, calculated as f(3) = 3^2 + 7 = 16.

Front

What is the output of g(x) = 3x + 1 when x = 10?

Back

The output is 31, calculated as g(10) = 3(10) + 1 = 31.

Front

What is the output of b(x) = 2x - 3 when x = -3?

Back

The output is -9, calculated as b(-3) = 2(-3) - 3 = -9.

Front

What does the notation f(x) represent?

Back

f(x) represents the value of the function f at the input x.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.