Log in
Mathematics
2
answers
0
watching
22
views
2 Oct 2019

Which zero pair could be added to the function x2+8x+6 so that the function can be written in vertex form?

(a)16,-16

(b)8,-8

(c)9,-9

(d)2,-2.

 

Watch
2
answers
0
watching
22
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Unlock all answers

Get 1 free homework help answer.
Get unlimited access
Already have an account? Log in
Share
Deanna Hettinger
Deanna HettingerLv2
2 Oct 2019
Get unlimited access
Already have an account? Log in
Share

Related questions

Which statement is true about the graph of the function f(x)=x2-8x+5? 

(a)the vertex of the graph is at(4,-11),

(b)Axis of symmetry is the line y=-11,

(c)y-intercept is at(0,-5),

(d)The function crosses the x-axis 3 times.

 

Which function in vertex form is equivalent to ?

a.)  

b.)  

c.)  

d.)  

4. (21 pts) (I) (6 pts) Determine the value of a constant b for which the function g is continuous at 0. Show your work. Justify your answer! 2 x +b if x<0, X-5 g(x) = if x 20, x#4. We have to show that lim g (x) = g (0). g(0) = 0 +18 = -1; lim X0* 0 + 16 ) = lim x + 16 **0* x2 - 160 - 16- Since lim g (x) has to exist (in order for g to be continuous at x = 0), it has to be true that x-0- x0+ X- 0 lim g(x) - lim g(x) = lim g(x). Therefore, -1, and , so b = 5. so, if b = 5, lim g (x) = g(0), and therefore, g is continuous at x = 0. (II) (4 pts) Evaluate the limit. Show your work! 2. b limx- (a) lim g(x) = lim *+- 2 x + b X - 5 : 1 * +16 10 g (x) = lim x++ - Elim x2 - 16 x++ (x - 10). OR 2x+5. 2; (a) lim g (x) = lim x--00 X- (b) lim x++ 2 + 16 g(x) = lim **** x2 - 16 X-+ (III) (4 pts) Determine whether g has any horizontal asymptotes. If so, write the equation (or equations) of all horizontal asymptotes. y = 2, by part (II) (a) y = 0, by part (II) (b) (IV) (7 pts) Determine whether g has any vertical asymptotes. If so, write the equation (or equations) of all vertical asymptotes. Show your work. Justify your answer! 5 + 16 There is no vertical asymptote at x = 5, because lim g(x) = x+5 52-16' -8 + b (x) = there is no vertical asymptote at x = -4, because lim X -4 - 4 - 5 But, lim g(x) = lim + 16 x+4+ x2 - 16 lim_ (x + 16) -20 x+4+ (x - 4) 60 (x + 4) +8 (or the numerator goes to 20, and the denominator is positive and goes to o, as x + 4*) = +00 So, the function g has only one vertical asymptote, x = 4.

Related Documents

MATH 201 Lecture Notes - Lecture 4: Polynomial, Quadratic Equation, Completing The Square
salmonsnail803
MATH 1300
Final Exam
Study Guide
MATH 1300 Study Guide - Midterm Guide: Completing The Square, Periodic Function, Negative Number
turquoisegnu128
MATH 180
Final Exam
Study Guide
MATH 180 Study Guide - Final Guide: Quotient Rule
turquoisegnu128

Weekly leaderboard

Home
Homework Help 3,900,000
Mathematics 240,000
Start filling in the gaps now
Log in