Unit Test — Unit test Answers

The owner of a coffee shop chain creates a graph representing sales in thousands of dollars. She describes the characteristics as follows:• There have been two turning points in sales this year.• Sales are expected to increase in the long run.• The least amount of sales during the year is about $250,000.Which graph correctly shows the coffee shop’s sales?

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

Which statement describes how the graph of the given polynomial would change if the term –3x6 is added?y = 2x6 + 9x5 – 7x3 – 1

Which expression represents the sixth term in the binomial expansion of (5y + 3)10?

Which statement describes the vertical asymptotes of the graph of ?

The formula for the volume of a cylinder with a height of 5 units is where r is the radius of the cylinder. What is the domain and range of this function?

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?

The formula for the volume of a cube is V(s) = s3 where s is the side length of the cube. What is the domain and range of this function?

Identify the graph of the rational function with an x-intercept at (–4, 0) and (4, 0), a vertical asymptote at x = 2, and an oblique asymptote at y = x + 2.

What is the domain of the function graphed below?

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

Which statement about the simplified binomial expansion of (a – b)n, where a, b and n are positive integers, is true?

A polynomial function has a root of –3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?

Let a, b, and c be real numbers where a b c 0. Which of the following functions could represent the graph below?

Which graph represents a function that has the domain (–∞, –4) ⋃ (–4, 3) ⋃ (3, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4)?

If , what is f(5.9)?

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?

Which piecewise relation defines a function?

Which statement describes the function y = axn when a = 1 and n is odd?

What is the fifth term in the binomial expansion of (x + 5)8?