Function Notation Practice - 2

Front

If f(x) = 3 - 2x², find f(-3).

Back

f(-3) = 3 - 2(-3)² = 3 - 2(9) = 3 - 18 = -15.

Front

If f(x) = x² - x + 3, what would the function look like once you substitute in a -3 to find f(-3)?

Back

f(-3) = (-3)² - (-3) + 3.

Front

If f(x) = -x + 4, find f(5).

Back

f(5) = -5 + 4 = -1.

Front

If g(x) = 6x - 5, find g(w).

Back

g(w) = 6w - 5.

Front

If f(x) = 3(6 - x), find f(-8).

Back

f(-8) = 3(6 - (-8)) = 3(6 + 8) = 3(14) = 42.

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols, typically f(x), where 'f' is the function name and 'x' is the input variable.

Front

What does f(a) represent in function notation?

Back

f(a) represents the output of the function f when the input is a.

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.

Front

What is the difference between f(x) and g(x)?

Back

f(x) and g(x) can represent different functions, each with its own rule or formula.

Front

What is 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.