Unit Test — Unit test Answers

Which of the following accurately shows the range of the function defined below?

In a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of an ounce) has an additional cost. The function below represents the cost of mailing one letter with a weight of x ounces in this country.Josiah has two letters. The first weighs 2.9 ounces, and the second weighs 4.1 ounces. What is the total amount Josiah can expect to pay for postage?

Two boats depart from a port located at (–10, 0) in a coordinate system measured in kilometers, and they travel in a positive x-direction. The first boat follows a path that can be modeled by a quadratic function with a vertex at (0, 5), and the second boat follows a path that can be modeled by a linear function and passes through the point (10, 4). At what point, besides the common starting location of the port, do the paths of the two boats cross?

A city manager made the graph below to represent the number of passengers that city buses can carry, where the number of passengers is represented by x, and the number of buses by y.If all city buses carry the same number of passengers, what is the least number of buses needed to carry 710 passengers?

Which piecewise relation defines a function?

An air show is scheduled for an airport located on a coordinate system measured in miles. The air traffic controllers have closed the airspace, modeled by a quadratic equation, to non-air show traffic. The boundary of the closed airspace starts at the vertex at (10, 6) and passes through the point (12, 7). A commuter jet has filed a flight plan that takes it along a linear path from (–18, 14) to (16, –13). Which system of equations can be used to determine whether the commuter jet’s flight path intersects the closed airspace?

Which statements can be used to compare the characteristics of the functions? Select three options.

Consider the functions f(x) = 3x2, , and h(x) = 3x.Which statements accurately compare the domain and range of the functions? Select two options.All of the functions have a unique range.The range of all three functions is all real numbers.The domain of all three functions is all real numbers.The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.The domain of f(x) and h(x) is all real numbers, but the domain of g(x) is all real numbers except 0.

What are the domain and range of the step function below?

The equation of the piecewise defined function f(x) is below. What is the value of f(1)?

If , what is f(5.9)?

What is the domain of the function graphed below?

A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measures 42,000 ft2. What is a dimension of the parking lot?

Which characteristics do the functions have in common? Select two options.

A company plans to sell pens for $2 each. The company’s financial planner estimates that the cost, y, of manufacturing the pens is a quadratic function with a y-intercept of 120 and a vertex of (250, 370). What is the minimum number of pens the company must sell to make a profit?

The tables show functions representing the path of two rockets launched by different science lab groups.

Which statement describes the graph of on [0, 3)?

Which statements can be used to compare the characteristics of the functions? Select two options.

Used books cost $2.25 each. Which expression represents the total number of books that can be purchased for $10?

Hector needs 84 feet of fencing to enclose his rectangular garden. The length of his garden is 12 feet less than twice its width. What is the width of his garden?