This function has: 1) A y-intercept at the point (0,25) 12 2) x-intercepts at the point(s) (-5,0).(-5.) 3) Vertical asymptotes at x = -4,-/-/- 2 4) Horizontal asymptote at y = 3 34 10

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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Let \( f(x) = \frac{3x^2 + 20x + 25}{2x^2 + 11x + 12} \).

This function has:

1) A y-intercept at the point \(\left(0, \frac{25}{12}\right)\). 
   - This is indicated by a checkbox with a checkmark next to it, confirming that the point is correct.

2) x-intercepts at the point(s) \(\left( -5, 0 \right), \left( -5, \frac{3}{10} \right)\).
   - This is indicated by a checkbox with a checkmark next to it, confirming that these points are correct.

3) Vertical asymptotes at \( x = -4, -\frac{3}{2} \).
   - This is indicated by a checkbox with a checkmark next to it, confirming that these values are correct.

4) Horizontal asymptote at \( y = \frac{3}{2} \).
   - This is indicated by a checkbox with a checkmark next to it, confirming that this value is correct.
Transcribed Image Text:Let \( f(x) = \frac{3x^2 + 20x + 25}{2x^2 + 11x + 12} \). This function has: 1) A y-intercept at the point \(\left(0, \frac{25}{12}\right)\). - This is indicated by a checkbox with a checkmark next to it, confirming that the point is correct. 2) x-intercepts at the point(s) \(\left( -5, 0 \right), \left( -5, \frac{3}{10} \right)\). - This is indicated by a checkbox with a checkmark next to it, confirming that these points are correct. 3) Vertical asymptotes at \( x = -4, -\frac{3}{2} \). - This is indicated by a checkbox with a checkmark next to it, confirming that these values are correct. 4) Horizontal asymptote at \( y = \frac{3}{2} \). - This is indicated by a checkbox with a checkmark next to it, confirming that this value is correct.
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