3x2Given the function f(x) =11z -4identify the following2x2 + 7x +5Note: Round all answers to two decimal places as needed.1) Identify the Vertical Intercept:Write the answer as an Ordered Pair2) Identify the Roots of the function: z =Write the answer as an list of values3) Identify the Vertical Asymptotes, giving the smaller value first: z =and z =4) Identify the Horizontal asymptote: y =

(1)Vertical intercept is given by 0, f(0)Given function - f(x) = 3x2-11x-42x2+7x+5Putting x =…

Answered: 3x2 Given the function f(x) = 11z -4…

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

3x2
Given the function f(x) =
11z -4
identify the following
2x2 + 7x +5
Note: Round all answers to two decimal places as needed.
1) Identify the Vertical Intercept:
Write the answer as an Ordered Pair
2) Identify the Roots of the function: z =
Write the answer as an list of values
3) Identify the Vertical Asymptotes, giving the smaller value first: z =
and z =
4) Identify the Horizontal asymptote: y =

Expert Solution

Step 1

$(1) V e r t i c a l i n t e r c e p t i s g i v e n b y \{0, f (0)\} G i v e n f u n c t i o n - f (x) = \frac{3 x^{2} - 11 x - 4}{2 x^{2} + 7 x + 5} P u t t i n g x = 0, f (0) = \frac{3 {(0)}^{2} - 11 (0) - 4}{2 {(0)}^{2} + 7 (0) + 5} f (0) = \frac{- 4}{5} f (0) = - 0.8 H e n c e, V e r t i c a l I n t e r c e p t = (0, - 0.8)$

Step 2

$(2) G i v e n f u n c t i o n - f (x) = \frac{3 x^{2} - 11 x - 4}{2 x^{2} + 7 x + 5} R o o t s o f t h e f u n c t i o n i s g i v e n b y f (x) = 0, P u t t i n g f (x) = 0 \frac{3 x^{2} - 11 x - 4}{2 x^{2} + 7 x + 5} = 0 3 x^{2} - 11 x - 4 = 0 3 x^{2} - 12 x + x - 4 = 0 3 x (x - 4) + 1 (x - 4) = 0 (x - 4) (3 x + 1) = 0 W e g e t, x = 4, x = - \frac{1}{3} = - 0.33 R o o t s = - 0.33, 4$