U3LT 2 Flashcard Review (Function Notation and Evaluating Functions)

Front

What is function notation?

Back

Function notation is the way an equation (function) is written, typically using symbols like f(x) to represent the output of a function for a given input x.

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 and simplify to find the output.

Front

What is the value of f(0) if f(x) = 4?

Back

The value of f(0) is 4.

Front

If f(x) = x^2 + 9, what is f(2)?

Back

f(2) = 2^2 + 9 = 4 + 9 = 13.

Front

What is the result of f(x) - g(x) if f(x) = x^2 + 9 and g(x) = x - 9?

Back

The result is f(x) - g(x) = x^2 - x + 18.

Front

How do you find f(g(x))?

Back

To find f(g(x)), first evaluate g(x) to get a value, then substitute that value into f(x) and simplify.

Front

What is the value of x if f(x) = -2 and f(x) = x^2 - 10?

Back

To find x, set x^2 - 10 = -2, which gives x^2 = 8, so x = ±√8.

Front

If f(x) = 3x + 10, what is f(5)?

Back

f(5) = 3(5) + 10 = 15 + 10 = 25.

Front

What is the composition of functions?

Back

The composition of functions is combining two functions where the output of one function becomes the input of another, denoted as f(g(x)).

Front

If g(x) = x - 2, what is g(5)?

Back

g(5) = 5 - 2 = 3.