211217 wu Functional Notation

Front

What is functional notation?

Back

Functional notation is a way to denote functions in mathematics, typically using symbols like f(x), g(x), etc., where 'f' or 'g' represents the function and 'x' is the input variable.

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

Evaluate f(x) = 2x when x = 4.

Back

f(4) = 2(4) = 8.

Front

What is the formula for finding f(0) in a linear function?

Back

To find f(0) in a linear function f(x) = mx + b, substitute 0 for x: f(0) = b.

Front

Evaluate f(x) = -3(x-1) when x = 0.

Back

f(0) = -3(0-1) = 3.

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

Evaluate g(x) = 4x - 7 when x = -9.

Back

g(-9) = 4(-9) - 7 = -36 - 7 = -43.

Front

What does it mean to find f(a) - f(b)?

Back

Finding f(a) - f(b) means to evaluate the function at two different points 'a' and 'b' and then subtract the results.

Front

Evaluate f(x) = x + 3 for f(-2) and f(6).

Back

f(-2) = -2 + 3 = 1; f(6) = 6 + 3 = 9; thus, f(-2) - f(6) = 1 - 9 = -8.

Front

What is the formula for a quadratic function?

Back

The formula for a quadratic function is h(x) = ax^2 + bx + c, where a, b, and c are constants.