Without using a graphing calculator, determine the horizontal intercepts of the following functions. If there is more than one horizontal intercept, enter your answer as a comma-separated list. When you finish, we recommend graphing each function using a graphing calculator or graphing software to verify your work. x + 7 -? x2 – 14 a. What are the horizontal intercept(s) for f(x) Preview x2 – 36 -? (x + 9)(x - b. What are the horizontal intercept(s) for f(x): - 1) x = Preview x2 c. What are the horizontal intercept(s) for f(x) 15x + 54 -? Note that you might want to factor the x + 12 numerator to help you answer this part. Preview = x

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Finding Horizontal Intercepts of Functions**

Without using a graphing calculator, determine the horizontal intercepts of the following functions. If there is more than one horizontal intercept, enter your answer as a comma-separated list. When you finish, we recommend graphing each function using a graphing calculator or graphing software to verify your work.

**a.** What are the horizontal intercept(s) for \( f(x) = \frac{x + 7}{x^2 - 14} \)?

\[ x = \boxed{\phantom{preview}} \]  [Preview]

**b.** What are the horizontal intercept(s) for \( f(x) = \frac{x^2 - 36}{(x + 9)(x - 1)} \)?

\[ x = \boxed{\phantom{preview}} \]  [Preview]

**c.** What are the horizontal intercept(s) for \( f(x) = \frac{x^2 - 15x + 54}{x + 12} \)? *Note that you might want to factor the numerator to help you answer this part.*

\[ x = \boxed{\phantom{preview}} \]  [Preview]
Transcribed Image Text:**Finding Horizontal Intercepts of Functions** Without using a graphing calculator, determine the horizontal intercepts of the following functions. If there is more than one horizontal intercept, enter your answer as a comma-separated list. When you finish, we recommend graphing each function using a graphing calculator or graphing software to verify your work. **a.** What are the horizontal intercept(s) for \( f(x) = \frac{x + 7}{x^2 - 14} \)? \[ x = \boxed{\phantom{preview}} \] [Preview] **b.** What are the horizontal intercept(s) for \( f(x) = \frac{x^2 - 36}{(x + 9)(x - 1)} \)? \[ x = \boxed{\phantom{preview}} \] [Preview] **c.** What are the horizontal intercept(s) for \( f(x) = \frac{x^2 - 15x + 54}{x + 12} \)? *Note that you might want to factor the numerator to help you answer this part.* \[ x = \boxed{\phantom{preview}} \] [Preview]
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