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 value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation in place of the variable. For example, for f(x) = 2x + 3, to find f(2), substitute 2 for x: f(2) = 2(2) + 3 = 7.

Front

What does f(0) represent in function notation?

Back

f(0) represents the value of the function when the input variable x is equal to 0.

Front

If f(x) = -3(x-1), what is f(0)?

Back

f(0) = -3(0-1) = 3.

Front

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

Back

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

Front

Given f(x) = -4x - 10 and f(x) = 10, how do you find x?

Back

Set -4x - 10 = 10, then solve for x: -4x = 20, x = -5.

Front

What is the significance of the variable in function notation?

Back

The variable in function notation (like x in f(x)) represents the input value for which the function is being evaluated.

Front

What does it mean if f(n) = 4 - 10n?

Back

It means that the function f takes an input n and produces an output calculated by the expression 4 - 10n.

Front

If f(n) = 14, how do you find n?

Back

Set 4 - 10n = 14 and solve for n: -10n = 10, n = -1.

Front

What is the output of f(x) if f(x) = 9?

Back

The output of the function is 9 when the input x is such that the function evaluates to 9.