Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the format 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 input?

Back

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

Front

Given f(x) = x^2 + 2x + 5, find f(-3).

Back

f(-3) = (-3)^2 + 2(-3) + 5 = 9 - 6 + 5 = 8.

Front

Given f(x) = -x + 3x + 1, find f(4).

Back

f(4) = -4 + 3(4) + 1 = -4 + 12 + 1 = 9.

Front

What does f(2) = 5 indicate about the function?

Back

It indicates that when the input is 2, the output of the function is 5.

Front

If f(x) = 2x + 1, what is f(3)?

Back

f(3) = 2(3) + 1 = 6 + 1 = 7.

Front

What is the independent variable in the function f(x)?

Back

The independent variable in the function f(x) is 'x', which can take any value.

Front

What is the dependent variable in the function f(x)?

Back

The dependent variable in the function f(x) is 'f(x)', which depends on the value of 'x'.

Front

Given f(x) = x^2 - 4, find f(0).

Back

f(0) = 0^2 - 4 = -4.

Front

If f(x) = 3x - 2, what is f(-1)?

Back

f(-1) = 3(-1) - 2 = -3 - 2 = -5.