Precalculus - Functions Test Review

Front

What is a function?

Back

A function is a relation where every input has only ONE output.

Front

What is the notation for the composition of functions?

Back

The notation for the composition of functions is (f ∘ g)(x) = f(g(x)).

Front

Given f(x) = 3x + 10 and g(x) = x - 2, find f(g(5)).

Back

f(g(5)) = 19.

Front

What is the result of f(-3) if f(x) is represented by a graph where f(-3) = -3?

Back

f(-3) = -3.

Front

If f(x) = x^2 + 25 and g(x) = x - 5, what is (f + g)(x)?

Back

(f + g)(x) = x^2 + x + 20.

Front

What does the transformation -f(x) represent?

Back

The transformation -f(x) reflects the graph of f(x) across the x-axis.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values).

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values).

Front

How do you find the inverse of a function?

Back

To find the inverse of a function, swap the x and y variables and solve for y.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.