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 point?

Back

To evaluate a function at a specific point, substitute the value of the input variable into the function's expression and simplify.

Front

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

Back

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

Front

What is the process to find f(8) if f(x) = 2x + 1?

Back

Substitute 8 into the function: f(8) = 2(8) + 1 = 17.

Front

Given f(x) = 2x^2 + 5x - 17, how do you find f(-1)?

Back

Substitute -1 into the function: f(-1) = 2(-1)^2 + 5(-1) - 17 = 2 - 5 - 17 = -20.

Front

What does it mean to 'plug in' a value for x in a function?

Back

'Plugging in' a value for x means to replace the variable x in the function's expression with the given value.

Front

If f(x) = -3(x-1), how do you find f(0)?

Back

Substitute 0 into the function: f(0) = -3(0-1) = -3(-1) = 3.

Front

What is the significance of the output of a function?

Back

The output of a function represents the value that corresponds to the input when the function is applied.

Front

How do you determine the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.