Q: Which of the following best describes the end behavior of the function in the eighth image (rational function with vertical and horizontal asymptotes)?

As $$x \to \infty$$, $$y \to 0$$; as $$x \to -\infty$$, $$y \to 0$$

Q: Which of the following is the correct equation for the function shown in the last image (shaded region between three lines)?

$$\begin{cases} 2x - 3y \leq 18 \\ 3x - 6y \u003c 3 \\ x + y \leq 6 \end{cases}$$

Question 1

Given the graph below, which of the following is the correct equation for the function represented? (Refer to the first image provided.)

Accepted Answer

$$y = (x-3)^2$ - 4$$

Question 2

Which of the following best describes the domain and range of the function shown in the fourth image (the V-shaped graph)?

Accepted Answer

Domain: $$(-\infty, \infty)$$, Range: $$[-4, \infty)$$

Question 3

Which of the following equations best matches the graph in the third image (the S-shaped curve)?

Accepted Answer

$$y = (x-2)^3$ + 2$$

Question 4

The graph in the sixth image (rational function with a vertical asymptote at $$x=0) $$has which of the following equations?

Accepted Answer

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

Question 5

Which of the following statements is true about the graph in the seventh image (circle centered at the origin)?

Accepted Answer

The equation is $$x^2$$ + $$y^2 = 36$

Question 6

Which of the following best describes the end behavior of the function in the eighth image (rational function with vertical and horizontal asymptotes)?

Accepted Answer

As $$x 	o \infty$$, $$y 	o 0$$; as $$x 	o -\infty$$, $$y 	o 0$$

Question 7

Which of the following is the correct equation for the function shown in the ninth image (logarithmic curve)?

Accepted Answer

$$y = \ln(x)$$

Question 8

Which of the following best describes the symmetry of the function in the first image (parabola opening upwards)?

Accepted Answer

Even function with respect to $$x=3$$

Question 9

Given the graph in the fourth image (V-shaped graph), which of the following is the correct equation?

Accepted Answer

$$y = |x-2| - 4$$

Question 10

Which of the following best describes the range of the function in the second image (parabola opening downwards)?

Accepted Answer

$$(-\infty, -2]$$

Question 11

Which of the following is the correct equation for the function shown in the fifth image (parabola opening downwards)?

Accepted Answer

$$y = -x^2$ - 2$$

Question 12

Which of the following best describes the domain of the function in the third image (S-shaped curve)?

Accepted Answer

$$(-\infty, \infty)$$

Question 13

Which of the following is the correct equation for the function shown in the last image (shaded region between three lines)?

Accepted Answer

$$\begin{cases} 2x - 3y \leq 18 \ 3x - 6y \u003c 3 \ x + y \leq 6 \end{cases}$$

Writing Functions from Graphs – College Algebra Guidance

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