Graphs of Rational Functions — Unit test Answers

The equation of the piecewise function f(x) is below. What is the value of f(–2)?

Which expression is a possible leading term for the polynomial function graphed below?

The formula for the volume of a cylinder with a height of 5 units is where r is the radius of the cylinder. In which quadrant(s) is the graph of this function V(r)?

A function is a sixth-degree polynomial function. How many turning points can the graph of the function have?

A farmer sells almonds according to the chart below. The more pounds of almonds that are sold, the lower the cost per pound is for the entire order of almonds.Almond PricesNumber of PoundsCost (per Pound)up to 10$20 more than 10, and up to 20$15 more than 20, and up to 30$10 more than 30$5 The farmer graphs a step function to model the situation, where y represents the cost per pound for an order of x pounds of almonds. Which of the following describes the farmer’s graph for the step that includes 20.75 pounds, and what is the total cost of 20.75 pounds of almonds?

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

A polynomial function has a root of –6 with multiplicity 3 and a root of 2 with multiplicity 4. If the function has a negative leading coefficient and is of odd degree, which could be the graph of the function?

An international calling plan charges 45 cents per minute or fraction of a minute for each call. Which graph models the cost, y, in cents of making x minutes of international calls?

Which statement comparing the oblique asymptotes of the functions f(x) and g(x) is true?

What is the ninth term in the binomial expansion of (x – 2y)13?

What are the coefficients for the binomial expansion of (a + b)3?

Which best describes the end behavior of ?

What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?

Which statement best compares the graphs of and ?