QUESTION 7(a,b and c ) horizontal Need Help? Read It Chat About It 7. -0.45 poin

Question

QUESTION 7(a,b and c )

horizontal Need Help? Read It Chat About It 7. -0.45 points Consider the following. x 12 x 16 (a) State the domain of the function. all real numbers x except x -4 and x 4 O all real numbers x except x 16 o all real numbers x except x 4 o all real numbers x except x- -4 O all real numbers (b) Identify all intercepts. (Enter NONE in any unused answer blanks.) x-intercepts (x, y) (smaller x-value) (x, y) (larger x-value) y-intercept (x, y) (c) Find any vertical and horizontal asymptotes. (Enter NONE if there is no asymptote.) (smaller value) vertical asymptotes x (larger value) horizontal asymptote y (d) Plot additional solution points as needed to sketch the graph of the rational function. -10 -8 -6 T-2 2 4 6 8 10 4 6 8 10 My Notes I SEssC ET2 1.6 JIT.005.M

Explanation / Answer

a) All except x = 4 , -4

Bcoz, at those values g(x) is undefined.

b) if x= 0, we get y intercept.

=> Y int : (0,3/4)

If numerator is 0, g(x) is 0.,

i.e roots of numerator are x intercepts

=> X int : (6,0) & (-2,0)

c) At intercept of asymptote, g(x) = infinity.

Hence vertical asymptotes occur at x= 4, x=-4.

At x = + or -infinity, Y = 1. (this is a horizontal asymptote)

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.