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 point?

Back

To evaluate a function at a specific point, substitute the value of the input variable into the function's equation and simplify.

Front

Given f(x) = 2x^2 + 5x - 17, find f(-1).

Back

f(-1) = -20.

Front

What does h(4) = 5 mean in the context of a function?

Back

It means that after 4 weeks, the height of the plant is 5 inches.

Front

For the function f(x) = -3(x-1), find f(0).

Back

f(0) = 3.

Front

What is the output of the function f(x) = x + 3 when x = -2?

Back

f(-2) = 1.

Front

What is the significance of the input variable in function notation?

Back

The input variable represents the value that is being substituted into the function to determine the output.

Front

What does it mean if f(a) = b?

Back

It means that when the input 'a' is used in the function f, the output is 'b'.

Front

How can you represent a linear function in function notation?

Back

A linear function can be represented as 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.