For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1?

A function is a sixth-degree polynomial function. How many turning points can the graph of the function have?
Identify the horizontal and vertical asymptotes, if any, for the graph of f(x) shown. Check all that apply.
Which statement is true about ?


Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?
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?




What are the vertical and horizontal asymptotes for the function ?

Which is the graph of reflected across the x-axis, translated 3 units left, 4 units up, and dilated by a factor of 4?





A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?


Which statements comparing the graphs of function 1 and function 2 are true? Check all that apply.
The president of a company creates a graph of the price of the company’s stock over one year. He describes the graph as follows:• The price of the stock rose to about $17 before falling to about $3.• There have only been two periods during which the price of the stock decreased.• The price of the stock is expected to increase in the long run.Which graph correctly shows the price of the stock?




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

For the inverse variation equation xy = k, what is the constant of variation, k, when x = –2 and y = 5?


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

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