Find the range of the function f(x) = x2 A) (0,0) B)[0,00) C)(1,0) D)(-1,00) E)-, -1]...
Let f(x) : (0,00) → (0,0) be a differentiable function, f(1) = 5, f'(1) = 2. Let g(x) = xf (:22). Find g'(x) and evaluate g(1) and g'(1).
FIND THE DOMAIN OF THE FUNCTION VX+1 +5 f(x) VVx2-x-6 A) (-00,-2) U (3,0) B) (-2,3] C)(-0, -1) U (3,0) D)(3.c) E)(-0, -1]U (5.00) F)(-60,-2]U[3,00) G)(-2,3)U(-1,00) H)(-00,-1] Select one: a. D b. C C. A d. B e. E f. F g. G h. H
Determine the domain of each of the functions P(x), Q(x), V(x), and Z(x). Select the one row that gives the correct domain underneath each function. P(x)= x2 + 1 Q(x) = Ne + 1 V(r) = **1 Z(x) = log (x + 1) OP: [-1, )Q: (-00, -1) (-1,00) V:(-0,0) Z: (-1,00) OP: (-00,00) Q: (-1,0) V: (-00, -1) (-1,0) Z: (-1,00) OP: (-00,00) Q: (-1,-) V: (-0, -1) U (-1,00) Z: (-1,0) OP: (-0, -1) U (-1,0) Q: (-1,-)...
FIND THE SOLUTION TO THE FOLLOWING INEQUALITY X + 4 = x2 + 2 = 2X + 10 A) (-2,-2) U [4,00) B) (-2,4) C)(-0,-1) U (2.c) D)(-1,2) E)(-0,2] F)(-1,0) G)(-0,–2] U [4,6) H)[-2, -1] [2,4) Select one: a. D b. F C. A d. G e. C f. H g. B h. E
4. Define the function f: 0,00) +R by the formula f(x) = dt. +1 Comment: The integrand does not have a closed form anti-derivative, so do not try to answer the following questions by computing an anti-derivative. Use some properties that we learned. (a) (4 points). Prove that f(x) > 0 for all x > 0, hence f: (0,00) + (0,0). (b) (4 points). Prove that f is injective. (c) (6 points). Prove that f: (0,00) (0,00) is not surjective,...
f:[0,00) + (0,0) defined by f(x) = x2 is invertible. O True O False
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b. f(-x) c. -f(x) d. f(x - 2) 2. Find the domain of each function below. Write your answer in interval notation. a. f(x) = x + 2 x2 + x - 6 b. 8(x) = (2x - 1 1 f(x + h) - f(x) 3. For the function f(x) = 2x2 – 3, find the difference quotient h 4. Use the graph of the...
if f(x) = Va --1, then f is differentiable on the interval Select one: o (1,00) 0 10,00) 0 (0,00) 0 (1,00)
Consider the function f(x) = 14x2 + 200 on the open interval (0,00). (1) Find the critical value(s) off on the open interval (0, 0). If more than one, then list them separated by commas. Critical value(s) = Preview (2) Find f''(x) = Preview (3) Looking at f''(x) we can conclude the following: f''(x) > 0 for all 3 on the interval (0,0) and thus we have an absolute maximum at the critical value f''(x) < 0 for all x...
A function f is said to be invertible with respect to integration over the interval (a, b) if and only if f is one-to-one and continuous on the interval (a, b), and in addition [r"() de = ["s(e) dr. In the list below, some functions are described either by their rules or by their graphs. Select all the functions which are invertible with respect to integration over the interval (0,1). (A) f(x) = x2 + cos(-x) (D) 2 f(x) =...