Honors Math 4 Unit 2 Functions Review

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

What does it mean to evaluate a function at a specific point, such as f(2)?

Back

It means to substitute the value 2 into the function in place of the variable x.

Front

What is the sum of two functions, (f + g)(x)?

Back

It is defined as f(x) + g(x) for all x in the domain of both functions.

Front

How do you find the composition of two functions, g(f(x))?

Back

You first evaluate f(x) and then substitute that result into g.

Front

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

Back

f(x) and g(x) are two different functions that may have different rules or equations.

Front

If f(x) = 2x + 3, what is f(4)?

Back

f(4) = 2(4) + 3 = 8 + 3 = 11.

Front

What does the notation (f ° g)(x) represent?

Back

It represents the composition of functions f and g, evaluated at x.

Front

If g(x) = 3x + 4, what does g(8) mean?

Back

It means to find the cost of 8 packages of bubble gum, calculated as g(8) = 3(8) + 4.

Front

What is the output of the function f(x) = x^2 + 1 when x = 2?

Back

f(2) = 2^2 + 1 = 4 + 1 = 5.

Front

What is the formula for the composition of functions f(x) = x - 1 and g(x) = 2x?

Back

g(f(x)) = g(x - 1) = 2(x - 1) = 2x - 2.