the graph of which of the following basic functions is increasing on the interval(-0, 00) ext...
Which of the following functions are piecewise continuous on the interval [0, 1] ? 5(x) = x + (0, 1] f(x) = x?, x € [0, 1] x = 0 f(x) = { xe (0, 1] C s(x) = { i x 6 [0, 5) x 6 [.5, 1] 0 x2 f(x) = 1 x 6 [0,.5) x=.5 x 6 (.5, 1] x2
Find the interval(s) on which f is increasing and the interval(s) on which it is decreasing. x2 f(x) 15x? + 54x 2 = 3 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function f is increasing on the interval(s) and decreasing on the interval(s) (Simplify your answer. Type your answers in interval notation. Use a comma to separate answers as needed.) B. The function fis decreasing on the interval(s),...
From the graph of the function, state the intervals on which the function is increasing, decreasing, or constant The function is increasing on what interval? O A. (-1, o0) OB. 14, oo) О с. (4.00) O D. I-1,00 The function is constant on what interval? O A. 1-4,4 O B. (-4,4) O C. (-1,8) The function is decreasing on what interval? 0 A. [-4, 41 O c. (-1, oo) O D. (-0, -4) Click to select your answer Find (f...
(20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function fis decreasing, increasing, concave up, and concave down List the x-coordinates of all local maxima and minima, and points of inflection. Show asymptotes with dashed lines and give their equations. Label all important points on the graph. 1 a f(x) is defined for all real numbers b. f'(x) = c. f"(x) = (x-1) d. f(2)= 2 e...
Problem #2: Which of the following sets of functions are linearly independent on the interval (-0, c.)? [2 marks] (i) f1(x) = x, f2(x) = 4x, 13(x) = = x2 +6 (ii) f1(x) = 2e2x, 12(x) = 4e4x, f3(x) = 8e8x (iii) f1(x) = 8sinx, 12(x) = 4cos 2x, f3(x) 9 (A) (i) and (iii) only (B) (iii) only (C) none of them (D) (ii) only (E) all of them (F) (i) only (G) (i) and (ii) only (H) (ii)...
Sketch the graph of the following function. Indicate where the function is increasing or decreasing, where any relative extrema occur, where asymptotes occur, where the graph is concave up or concave down, where any points of inflection occur, and where any intercepts occur. X +3 f(x) = x²-x-12 On what interval(s) is fincreasing and on what interval(s) is f decreasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The...
Which of the following functions is depicted in the graph below? Q $ 3 Select one: O A f(x)=(x-2) -5 OB S(x)=(x+2) -13 f(x) = (x - 2)² +3 (x)=-(x+2)' +3 OC D.
Graph the given functions. DRAW A GRAPH FOR EACH SHIFT (Hint: use the basic graph and then do the shifts) (4pts each) 16. f(x) = 11 -
The graph of y=f(x) is shown to the right. Identify the intervals on which f(x) is increasing 1h Which of the following shows every interval on which f(x) is increasing? Choose the correct answer below A. (b.c), (e,t). (g.h) O C. (5.c), (0,1),(g,h) OB. (a.c), (e.f). (g.h) OD. (a.c), (d.1)
The graph to the right is the result of applying a sequence of transformations to the graph of one of the six basic functions. Identify the basic function and describe the transformation verbally. Write an equation for the given graph. TU What is the basic function? O A. Cube function mix) = x OB. Absolute value function gix)=x| OC. Square root function nix) = x OD. Cube root function p(x) = x O E. Identity function f(x)= x OF Square...