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 value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation in place of the variable.

Front

If f(x) = x - 9, what is f(-1)?

Back

f(-1) = -1 - 9 = -10.

Front

If f(x) = x - 5, what is f(9)?

Back

f(9) = 9 - 5 = 4.

Front

What does it mean to find f(x) when given a specific value?

Back

Finding f(x) means calculating the output of the function for a given input value.

Front

If f(x) = x + 3, what is the value of x when f(x) = 12?

Back

12 = x + 3; therefore, x = 12 - 3 = 9.

Front

If g(x) = 3x + 1, what is g(x) when g(x) = 19?

Back

19 = 3x + 1; therefore, 3x = 19 - 1 = 18, so x = 6.

Front

What is the process to solve for x in a function equation?

Back

To solve for x, isolate x on one side of the equation using algebraic operations.

Front

If w(x) = 3x - 7 and w(x) = 14, how do you find x?

Back

14 = 3x - 7; therefore, 3x = 14 + 7 = 21, so x = 7.

Front

What is the significance of the input variable in function notation?

Back

The input variable represents the value that is fed into the function to produce an output.