If 4 - x2 = f(x) < 4+x2 for –3 <x<3, find lim (2) 20
Solve the problem If f(x) = x2 - 2 and g(x) = x + 3, find (f o g)(4) and (go (-4). (fog)(4) = (go(-4)
Let
fx=x2-x-2(x2-4)
if
x≠±2c
if x=2
Find c that would make f
continuous at 1. For such c, prove that f is continuous at
1 using an ε-δ proof.
x2-x-2 с 1. (10 marks) Let f(x) = (x2-4) if x # +2 if x = 2 Find c that would make f continuous at 1. For such c, prove that f is continuous at I using an E-8 proof.
Find the inverse of the one-to-one function. (5pts) f(x)=Vx-4 f(x)-1 = x2+4 f(x)-1= x2–4 f(x)-1 = x+4 f(x)-1 = (x+4)2
f(x) = 2x2 – 3, if x < 2 x2, if 2<x< 4 5x – 7, if x > 4 a) f(0) b) f(3)
x-x-2 if x # +2 1. (10 marks) Let f(x) = (x2-4) if x= 2 Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an e-8 proof. -- с x-x-2 if x # +2 1. (10 marks) Let f(x) = (x2-4) if x= 2 Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an e-8 proof. -- с
Find the average value of the function f(x) =x2-5 from x = 0 to x=3. The average value of the function f(x)=x2-5 from x = 0 to x = 3 is □
Find the average value of the function f(x) =x2-5 from x = 0 to x=3. The average value of the function f(x)=x2-5 from x = 0 to x = 3 is □
Let ?(?)=?2−8?+4f(x)=x2−8x+4.
(1 point) Let f(x) = x2 – 8x + 4. Find the critical point c of f(x) and compute f(c). The critical point c is = The value of f(c) = Compute the value of f(x) at the endpoints of the interval [0, 8]. f(0) = f(8) = Determine the min and max Minimum value = Maximum value = Find the extreme values of f(x) on [0, 1]. Minimum value = Maximum value =
4. Let f (x1,2)= xi + x?x2 + 4. Find the maximum and minimum values of f when 1 <1 and -1 x2 < 1
4. Let f (x1,2)= xi + x?x2 + 4. Find the maximum and minimum values of f when 1
(9) Find the equation of any vertical asymptote: (a) f(x) x2 + 5x x2 + 4x (b) f(x) X-5 x2 – 25 (10) Write a brief description of the relationship between the graph of f(x) = x2 and g(x) = - (x-4)2 +3