Truman Chapter 4

Front

What is an inverse function?

Back

An inverse function reverses the operation of the original function. If the function f takes an input x to produce an output y, then the inverse function f^(-1) takes y back to x.

Front

Back

Front

What is the composition of functions j and k, denoted as (j ∘ k)(x)?

Back

The composition of functions j and k, (j ∘ k)(x), means to apply function k to x and then apply function j to the result.

Front

What is the average rate of change of a function?

Back

The average rate of change of a function f from x1 to x2 is given by the formula: (f(x2) - f(x1)) / (x2 - x1).

Front

Back

The average rate of change is -4.

Front

What does the notation f^(-1)(x) represent?

Back

The notation f^(-1)(x) represents the inverse function of f.

Front

How do you find the inverse of a linear function?

Back

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

Front

Back

The graph is a downward-opening square root function that starts at (0, 5) and decreases as x increases.

Front

What is the significance of a function being one-to-one?

Back

A function is one-to-one if it never takes the same value twice, which is necessary for it to have an inverse.

Front

Back