Unit 4 Test Retake (Alg 1)

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 and produces an output y, the inverse function f⁻¹ takes y as input and produces x as output.

Front

How do you find the inverse of a function algebraically?

Back

To find the inverse of a function, replace f(x) with y, swap x and y, and then solve for y. The resulting equation is the inverse function.

Front

What is the equation of the function c(n) = 50 + 4n?

Back

This function represents the cost in dollars of visiting a gym based on the number of visits, n.

Front

What does c(7) represent in the function c(n) = 50 + 4n?

Back

c(7) represents the total cost of visiting the gym 7 times.

Front

Calculate c(7) for the function c(n) = 50 + 4n.

Back

c(7) = 50 + 4(7) = 50 + 28 = 78.

Front

What is the inverse function of c(n) = 50 + 4n?

Back

The inverse function is c⁻¹(n) = (n - 50) / 4.

Front

If c(n) = 50 + 4n, what does the number 50 represent?

Back

The number 50 represents the fixed cost (base fee) of visiting the gym, regardless of the number of visits.

Front

In the context of the function c(n) = 50 + 4n, what does the coefficient 4 represent?

Back

The coefficient 4 represents the additional cost per gym visit.

Front

What does the statement 'c(4) = 66' imply?

Back

It implies that the total cost of visiting the gym 4 times is $66.

Front

What information does the inverse function provide in the context of gym visits?

Back

The inverse function provides the number of gym visits as a function of the total cost.