Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as 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 expression and simplify.

Front

If f(x) = x + 3, what is f(-2)?

Back

f(-2) = -2 + 3 = 1.

Front

What does f(-1) represent in function notation?

Back

f(-1) represents the output of the function f when the input is -1.

Front

Given f(x) = 6x² - 2x + 1, find f(-2).

Back

f(-2) = 6(-2)² - 2(-2) + 1 = 25.

Front

What is the process to find f(x) = -2?

Back

To find x when f(x) = -2, set the function equal to -2 and solve for x.

Front

If f(x) = 2x² + 5x - 17, what is f(-1)?

Back

f(-1) = 2(-1)² + 5(-1) - 17 = -20.

Front

What is the significance of the variable 'x' in f(x)?

Back

The variable 'x' represents the input value for the function f.

Front

How do you find the value of f(x) for a given x?

Back

Substitute the given x value into the function's expression and simplify to find f(x).

Front

What does it mean if f(x) = k for some constant k?

Back

It means that the output of the function f for a specific input x is equal to the constant k.