Function Notation Practice w/Appropriate Input & Outputs

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically in the form 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 to find the output.

Front

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

Back

The output is 18.

Front

How do you find the value of g(x) = (x + 3)/5 at x = -2?

Back

Substitute -2 into the function: g(-2) = (-2 + 3)/5 = 1/5.

Front

What is the equation in function notation for a babysitting service that charges a flat fee plus an hourly rate?

Back

The equation is m(x) = 5x + 3, where m(x) is the total amount earned, x is the number of hours worked.

Front

How do you find f(4) for the function f(x) = 2x + 1?

Back

Substitute 4 into the function: f(4) = 2(4) + 1 = 9.

Front

What does the variable 'x' typically represent in function notation?

Back

In function notation, 'x' usually represents the input value or independent variable.

Front

What is the significance of the flat fee in a function representing a service?

Back

The flat fee represents a constant amount charged regardless of the number of hours or units, affecting the total output of the function.

Front

How can you determine the total cost for a number of books using the formula y = 5x?

Back

By substituting the number of books (x) into the formula, you can calculate the total cost (y) for that quantity.

Front

What is the output when using the formula y = 5x for x = 3?

Back

The output is y = 5(3) = 15.