As $$x \to \infty$$, $$y \to \infty$$; as $$x \to -\infty$$, $$y \to -\infty$$

As $$x \to \infty$$, $$y \to \infty$$; as $$x \to -\infty$$, $$y \to \infty$$

Question 1

Which of the following best describes the end behavior of the graph of $$y = 10x^3$ as shown in the first image (Odd Degree)?

Accepted Answer

As $$x 	o \infty$$, $$y 	o \infty$$; as $$x 	o -\infty$$, $$y 	o -\infty$$

Question 2

In the second image, what is the equation of the function shown?

Accepted Answer

$$y = \dfrac{1}{x}$$

Question 3

Which of the following statements is true about the graph in the third image?

Accepted Answer

The function has a maximum at $$x = 0$$

Question 4

The fourth image shows a graph with a vertical asymptote at $$x = 1. $$Which function could this be?

Accepted Answer

$$y = \dfrac{1}{x-1}$$

Question 5

In the fifth image, what is the equation of the function shown?

Accepted Answer

$$y = \dfrac{1}{x-1}$$

Question 6

Which of the following best describes the transformation from $$y = x^2$ to the graph in the eighth image?

Accepted Answer

Reflection over the x-axis and vertical shift down

Question 7

The graph in the ninth image represents a quadratic function with $$a \u003e 0. $$What is the minimum value of the function?

Accepted Answer

The minimum value is $$k$$

Question 8

Given the table in the tenth image, if $$h(t) = -16t^2$ + 60t$$, what is the initial height of the object?

Accepted Answer

$$0$$

Question 9

Which of the following best describes the end behavior of the graph in the eleventh image?

Accepted Answer

As $$x 	o \infty$$, $$y 	o \infty$$; as $$x 	o -\infty$$, $$y 	o \infty$$

Question 10

In the twelfth image, what is the equation of the function shown?

Accepted Answer

$$f(x) = \dfrac{1}{x}$$

Question 11

In the thirteenth image, what does the open circle at $$x = -1$$ represent?

Accepted Answer

A removable discontinuity (hole)

Question 12

Which of the following is true about the vertical asymptote in the thirteenth image?

Accepted Answer

It occurs at $$x = 3$$

College Algebra: Power, Polynomial, and Rational Functions – Study Notes

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