Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the letter 'f' followed by the variable in parentheses, such as f(x), to denote the output of the function for a given input x.

Front

If f(x) = 3x - 12, what is f(2)?

Back

f(2) = 3(2) - 12 = 6 - 12 = -6.

Front

How do you find the value of x when f(x) = 8 for f(x) = x + 3?

Back

Set the equation x + 3 = 8. Solve for x: x = 8 - 3 = 5.

Front

What does f(9) mean in the context of a function?

Back

f(9) represents the output of the function f when the input is 9.

Front

If f(x) = x - 5, what is f(9)?

Back

f(9) = 9 - 5 = 4.

Front

What is the process to evaluate f(x) = x + 7 at x = 4?

Back

Substitute 4 into the function: f(4) = 4 + 7 = 11.

Front

What is the value of x if f(x) = -6 for f(x) = 3x - 12?

Back

Set the equation 3x - 12 = -6. Solve for x: 3x = 6, x = 2.

Front

What is the output of f(x) = x + 3 when x = -1?

Back

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

Front

How do you express the function f(x) = 2x + 1 in words?

Back

The function f takes an input x, multiplies it by 2, and then adds 1 to the result.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.