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 parentheses containing the input variable, such as f(x).

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. For example, to find f(2) for f(x) = 3x + 1, replace x with 2: f(2) = 3(2) + 1 = 7.

Front

What does f(x) = 3x + 1 represent?

Back

This represents a linear function where the output (f(x)) is determined by multiplying the input (x) by 3 and then adding 1.

Front

If f(x) = 2x + 5, what is f(0)?

Back

f(0) = 2(0) + 5 = 5.

Front

What is the output of f(x) = -4x - 10 when x = 10?

Back

f(10) = -4(10) - 10 = -40 - 10 = -50.

Front

How do you find the x-value when f(x) is given?

Back

Set the function equal to the given value and solve for x. For example, if f(x) = 3x + 1 and f(x) = 7, set 3x + 1 = 7 and solve for x.

Front

What is the value of f(-2) if f(x) = 3x + 15?

Back

f(-2) = 3(-2) + 15 = -6 + 15 = 9.

Front

If f(x) = 3x + 7, what is f(-4)?

Back

f(-4) = 3(-4) + 7 = -12 + 7 = -5.

Front

What is the meaning of the term 'input' in function notation?

Back

The input is the value you provide to the function, represented by the variable x in f(x).

Front

What is the output of f(x) = 2x - 3 when x = 5?

Back

f(5) = 2(5) - 3 = 10 - 3 = 7.