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 is f(x), the inverse is denoted as f⁻¹(x) such that f(f⁻¹(x)) = x.

Front

How do you find the inverse of a function?

Back

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

Front

What is the function c(n) = 50 + 4n used for?

Back

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

Front

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

Back

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

Front

What does c(4) = 66 represent in the context of the gym cost function?

Back

66 represents the total cost of visiting the gym 4 times.

Front

What is the equation m = 40g used for?

Back

It calculates the distance in miles (m) that a car can travel using g gallons of gas.

Front

If a car has gone 140 miles, how many gallons of gas were used if m = 40g?

Back

g = 140 / 40 = 3.5 gallons.

Front

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

Back

It gives the number of gym visits as a function of the cost.

Front

What is the slope in the equation c(n) = 50 + 4n?

Back

The slope is 4, indicating the cost increases by $4 for each additional gym visit.

Front

What is the y-intercept in the equation c(n) = 50 + 4n?

Back

The y-intercept is 50, representing the initial cost of visiting the gym.