Consider the two functions f(t) = log(t) and g(t) = f(t – 9) +4. II III IV a. Which of the above is the graph of f(t)? O A. 1II OB. I1 OCIV Oni Which of the above is the graph of g(t)? O A. I OC II OD IV b. State the vertical asymptote for each function. /(t) has a vertical asymptote at t g(t) has a vertical asymptote at t c. What are the t-intercepts for each function? Write your answers as ordered pairs. Cookies help us deliver our services. By using our services. you agree to our use of cookies. OK Learn more

Consider the two functions f(t) = log(t) and g(t) = f(t – 9) +4. II III IV a. Which of the above is the graph of f(t)? O A. 1II OB. I1 OCIV Oni Which of the above is the graph of g(t)? O A. I OC II OD IV b. State the vertical asymptote for each function. /(t) has a vertical asymptote at t g(t) has a vertical asymptote at t c. What are the t-intercepts for each function? Write your answers as ordered pairs. Cookies help us deliver our services. By using our services. you agree to our use of cookies. OK Learn more

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

**Consider the two functions:**

$ f(t) = \log(t) $ and $ g(t) = f(t - 9) + 4 $.

**Graphs:**

- **Graph I:** Shows a logarithmic curve starting from just above the x-axis, increasing and moving to the right.
- **Graph II:** Shows a shifted logarithmic curve beginning sharply upwards from the middle of the graph.
- **Graph III:** Displays a classic logarithmic curve starting near the y-axis and moving gradually rightward and upward.
- **Graph IV:** Shows a translated logarithmic curve, shifted along both axes, appearing near the middle and growing rightward.

**Questions:**

**a. Which of the above is the graph of $ f(t) $?**
- A. III
- B. II
- C. IV
- D. I

**Which of the above is the graph of $ g(t) $?**
- A. I
- B. III
- C. II
- D. IV

**b. State the vertical asymptote for each function.**

$ f(t) $ has a vertical asymptote at $ t = $ [____]

$ g(t) $ has a vertical asymptote at $ t = $ [____]

**c. What are the t-intercepts for each function? Write your answers as ordered pairs.**

- [Space for answers]

The image contains a worksheet for a mathematics lesson, likely focusing on functions and graph analysis. Below is the transcribed text:

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**b. State the vertical asymptote for each function.**

- $ f(t) $ has a vertical asymptote at $ t = $ [Text Box]
- $ g(t) $ has a vertical asymptote at $ t = $ [Text Box]

**c. What are the t-intercepts for each function? Write your answers as ordered pairs.**

- $ f(t) $ has a horizontal intercept of [Text Box]
- $ g(t) $ has a horizontal intercept of [Text Box] (Round your t-coordinate to four decimal places.)

**d. What is the domain of $ g(t) $? Write your answer in interval notation.**

- [Text Box]

**Answers**

| | Answer |
|-------|--------|
| | |

---

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