Use the function and the accompanying figure to answer the following questions, a. Is f defined...
Determine if the following piecewise defined function is differentiable at x = 0. x20 f(x) = 4x-2, x2 + 4x-2, x<0 What is the right-hand derivative of the given function? f(0+h)-f(0) lim (Type an integer or a simplified fraction. I h h+0+
Evaluate the piecewise defined function at the indicated values (x2 f(x) if x -1 6x if 1 < x s 1 = -1 if x > 1 f(-3) (- 3 2 f(-1) f(0) = f(30) =
The graph of the function fis shown in the accompanying figure. (a) is f continuous at x = O No Why or why not? (Select all that apply.) Fa) is not defined lim Fx) - Fla) Olim Rx) does not exist limFX) exists There is a corner at x = pa) is defined Fx) exists F"(x) does not exist (b) is f differentiable at x = a? Justify your answer. (Select all that apply.) lim, Fx) exists lim FX) does...
Question 1 (1 point) Use the figure shown to answer the following question aboutf(x). What is the limfm)? (-2,2), 2 (0.1) (3.0) I -4 -3 -2 - 1 2 4 5 (-2-1) (3-1) -1 -2 1) The limit does not exist. 2) The limit is 1 3) The limit is 3 4) The limit is 0. Question 2 (1 point) Question 2 (1 point) Use the figure shown to answer the following question. What is the lim f(x)? (6,5), (1.4)...
AT 110 201910 uiz #3C (2,8) Shanaon Kgby ame waluate the function for the given value of x. 1) f(x) 4x, g(x) = 3x +9, (g -f )(x) = ? A) (g-f)(x) 3x+4x-9 C) (g-f)(x) = 3x-4x-9 B) (g -f)(x) = 3.x+ 4x+9 D) g-f)(x) 3x-4x+9 2) p(x) x2 +9x, q(x) = x - 7, (p. q)x) = ? A) (p q)x)x+9x x-7 )(p.a)x) (x2 +9x x - 7 B) (p 4)x) = +9x) (x- 7) D) x -7+9x-7 3)...
please answer ALL questions. thank you
1. Simplify: (5x + 3) - (4x + 1)(6 - x) (4 marks) Perform the indicated operation and simplify: -6V80 + 275- 8245 - 14 V108 2. (2√5 - 4√6) (3√3 + 8 √2) (8 marks) 3. Simplify, and state the restrictions on the variable x² - x-6x² - 2x+1 x2 - 4 x-1 8 9x +15x 3x + 5 (12 marks) Determine if the following expressions are equivalent. Justify your answer. 6x +...
Evaluate piecewise-defined functions Question Given the following piecewise function, evaluate /(-4). - 4x + 3 f(x) = x < 0 Osr<3 3S 2? + 2 Do not include "f(-4) =" in your answer. Provide your answer below:
Please show work on how to solve?
(49. Show that the function (x2 +3 for x < 1 f(x) = 10 - x for 1 < x <2 6x - x2 for x > 2 is continuous for x + 1, 2. Then compute the right- and left-hand lim- its at x = 1, 2, and determine whether f is left-continuous, right- continuous, or continuous at these points (Figure 17). y = 10 - x > 9+ y=6x - x2...
1. [2] Is the function f :Q\ {0} →Q defined by f(x) = 1 + 2 onto? Why or why not? 2. [3] Let A = {1, 2, 3, 4, 5,6}, and f: A+ A be the function given in the table below. 2 1 2 3 4 5 6 f(x) 3 5 6 24 1| (a) Explain why f is invertible. (b) Is it true that f-1 = f o f? Why or why not?
If f is the function defined on (-4, 4) by. O 1. A only f(x) = 2+ |21 – 4, O 2. B only which of the following properties does f have? A. Absolute minimum at x = 0. B. Continuous at x = 0. 3. both of them 4. neither of them