1. f (x) = 3x² + 2x + 1 at x = -2

Q: I+1 5. h(z) at r 1 22-1 6. g(r) Vr-3 at r 4 7. g(r) = at r 8 %3D 8. g(r) = at z 0

A:

Q: 4. h(x) = x-T at X %3D 2. 5h(X) = x + x4-1 at X = %3D

A: Continuous function at x=a

Q: Determine the discontinuities of the following functions and state why the function fails to be…

A: f(x)=x3+x2-17x+15x2+2x-15function is undefine when x2+2x-15 is become 0Let…

Q: Find numbers a and b so that f is continuous at every point.

A: Given,

Q: f(x) = -7x + 6 x² +6 if x < 0 if x 20

A:

Q: Find parameters a, b, and c such that the following function becomes continuo x² + x – 6 if x 2 r2…

A:

Q: x+5 4. f(x) = %3D x2-5x+4

A:

Q: 6. f(x) = x* – 3x³ + 2x2 – 5x – 7 at x = - 1 8. f(x) = V3x - 10 at x = 2 10. f(x) = 6x –6 at x = 0

A: For function to be continuous  at a point x=alimx→af(x) =f(a)6) f(x)=x4-3x3+2x2-5x-7    at x=-1…

Q: f(x) x² - 2x - 8 { *2-22-3 x-4 x = 4 x‡4

A:

Q: 4х if х> -1 f(x) 3D { 5 — х2 if b < x<-1 Зх + 7 if x < b

A:

Q: Which . functions are continuous through its domain?

A: Continuous Function: A function fx is continuous at a point c of its domain if  limx→cfx=fc A…

Q: a. f(x) x-2 x-7 b.f(x) = r2+1

A: (a) the given function is f(x)=1x-2 the function is continuous in interval [a,b] if it is continuous…

Q: (sin(x), x 4 x, k(x) = f(x) = -x2 + 4x – 2, х — 6,

A: Consider the given function as fx=sinx     x&lt;0x         0&lt;x&lt;2-x2+4x-2…

Q: f(x) = x² – 3x – 10 %3D

A: The limit of a function at a point is the value of the function when the value of the variable is…

Q: Determine the values of x where the function f (æ) is not continuous. Label each discontinuity as…

A: