1.4

A) (1,-1) B) hiatus pointn C) removable D) 3
 * 1.

A) discontinuity at x=2 B) asymptote C) nonremovable D) 1, 2, 3
 * 2.

Worked by Jason Sham

Worked by Michelle Tassin A) -2 B) -2 C) -2 The graph is continuous as x approaches -2 because there are no interruptions in the graph f(x) at -2. A) 2 B) 2 C) 2 The graph is not continuous as x approaches 2 because there is a jump point in the graph f(x) at 2
 * 2-
 * Correct:** Checked by Lilly Byrd
 * 4-
 * Correct**: Checked by Lilly byrd

9)The limit x approaches -3 from the left DNE >> -3/((-3-3)(-3+3))^1/2= -3/0

10. The lim of x approaches 4 from the left=0 >> ((4)^1/2-2)/((4)-4)= 0/0=0 Worked by Nadia Guillen

14.) lim of delta x ->0+ f(deltax)= ((x=deltaX)^2+x+delta x - (x^2+x))/delta x = 2x Worked by Kendall Jones Checked by Kara Manning

16. Lim as x ® 2 f(x) where f(x)= x²-4x+6 and f(x)= -x²+4x-2 lim (2)²-4(2) +6 lim 4-8+6= 2 lim – (2)²+4(2)-2 lim -4+8-2= 2 Lim as x ® 2 = 2 Worked by Rachel Pearce 17. lim x--> 1 = 2 18. limx --> 1 = 1 19. lim cotx --> pi = limit does not exist because function decreases approaching pi from the left and increases approaching from the right Worked by Jackson Hart Checked by Anthony Lukefahr

Worked by Jason Sham
 * 1) 26. Continuity in x= -1

worked by Matt Harry
 * 1) 28 Discontinuity- removable

36. there are no values for which f(x)=cos((piX)/2) is not continuous Worked by NeiL KlenK Correct:Elborz Safarzadeh

38) x/(x ² -1) non-removable discontinuity at x= 1 and x= -1 Worked by Connor Smith

40.) Worked by Audrey Luecken CORRECT! checked by Hyun Bang

46. No discontinuity. f is continuous at all x-values. Worked by Ellen Wagner Correct checked by Jane Swanson

58. a=4 worked by Heather Anderson

Checked by Warner Boin

60. check by emily othold

76) Function: f(x)=x^3+3x-2 Interval: [0,1] f(x) is continuous at [0,1] f(0)= -2 f(1)= 2
 * since f(0) is negative and f(1) is positive, then f(x) has a zero on the interval [0,1] by the IVT.

Worked by Krissy Denby

checked by hannah smythe!