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For the piecewise-defined function shown, find the following values, if they exist: a) lim f(x) =...
Evaluate the piecewise-defined function for the given values. f(x) = 4x for x 20 - 4x...
Evaluate the piecewise-defined function for the given values. f(x) = 4x for x 20 - 4x for x < 0 Find f(1), f(2), f(-1), and f(-2). f(1) f(2) f(-1) = f(-2) =
Determine if the following piecewise defined function is differentiable at x = 0. x20 f(x) =...
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+
4. Below is a piecewise function, determine -5 lim,f(x)= c, lim f(x)= e. lim f(x)- d. y = sin x (not drawn to scale) explain Consider the piece of f(x) in the first quadrant resembling e. Determi...
4. Below is a piecewise function, determine -5 lim,f(x)= c, lim f(x)= e. lim f(x)- d. y = sin x (not drawn to scale) explain Consider the piece of f(x) in the first quadrant resembling e. Determine lim sinand the behavior of the graph near zero. 5. Using your graphing calculator sketch h(x)-x4-2x3 over [-2,2] below, find the critical values and on the graph label the coordinates of any local, global(absolute) minima, maxima or point of inflection on the sketch,...
Suppose that the piecewise function J is defined by f(2)= {**** -1<<3 - 3x2 + 2x...
Suppose that the piecewise function J is defined by f(2)= {**** -1<<3 - 3x2 + 2x + 23, 2> 3 Determine which of the following statements are true. Select the correct answer below: O f() is not continuous at I = 3 because it is not defined at I = 3. Of() is not continuous at 2 = 3 because lim f(x) does not exist. f() is not continuous at I = 3 because lim f() f(3). ->3 f(x) is...
For the function shown below, find (if the quantity exists) (A) lim f(x). (B) lim f(x)....
For the function shown below, find (if the quantity exists) (A) lim f(x). (B) lim f(x). (C) lim f(x), and (D) f(O). X-0- xo f(x) = 18 - x?, for x 50 18 + x? for x > 0 (A) Select the correct choice below and fill in any answer boxes in your choice. OA lim f(x) = B. The limit does not exist. (B) Select the correct choice below and fill in any answer boxes in your choice.
For the following piecewise-defined function f. find the critical numbers, local extreme values, and absolute...
For the following piecewise-defined function f. find the critical numbers, local extreme values, and absolute extreme values on the closed interval 6, 90 20r109 if 6<214 f(z) 14< <18 8 87 if 18 < z<90 10+237 if Critical number(s) Preview Local minimum value(s) Preview Local maximum value(s) Preview Absolute minimum value: Preview Absolute maximum valug: Preview Points possible: 1 This is attempt 1 of 2. Submit For the following piecewise-defined function f. find the critical numbers, local extreme values, and...
Evaluate the piecewise defined function at the indicated values (x2 f(x) if x -1 6x if...
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) =
For the following piecewise function, find the specified function values ?(?) = { −2? ? <...
For the following piecewise function, find the specified function values ?(?) = { −2? ? < −4 ? + 6 − 4 ≤ ? ≤ 7 −? − 9 7 < ? a) f(-3) b) f (-5) c) f(0) d) f(10) e) f(5)
Use the graph of the piece-wise function shown to determine the values of the quantities. Itf a t exist explain why. do...
Use the graph of the piece-wise function shown to determine the values of the quantities. Itf a t exist explain why. does (b) lim, f(x) (c) f(O) (d) ly/(x) 2-1+1 2 3 4 5 (e) f(2) (f) lim f(x) (g) f(4) im
Use the graph of the piece-wise function shown to determine the values of the quantities. Itf a t exist explain why. does (b) lim, f(x) (c) f(O) (d) ly/(x) 2-1+1 2 3 4 5 (e) f(2) (f) lim...
y? - 2xy x + y2 if (x, y) + (0,0) 7. Given the piecewise function:...
y? - 2xy x + y2 if (x, y) + (0,0) 7. Given the piecewise function: f(x,y) 0 if (x, y) = (0,0) a) Show that: limf(x,y) does not exist. *(x,y) (0,0) b) Find: fy(0,0). c) Where is f continuous? Where is f differentiable? Explain.
Evaluate the piecewise-defined function for the given values. f(x) = 4x for x 20 - 4x for x < 0 Find f(1), f(2), f(-1), and f(-2). f(1) f(2) f(-1) = f(-2) =
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+
4. Below is a piecewise function, determine -5 lim,f(x)= c, lim f(x)= e. lim f(x)- d. y = sin x (not drawn to scale) explain Consider the piece of f(x) in the first quadrant resembling e. Determine lim sinand the behavior of the graph near zero. 5. Using your graphing calculator sketch h(x)-x4-2x3 over [-2,2] below, find the critical values and on the graph label the coordinates of any local, global(absolute) minima, maxima or point of inflection on the sketch,...
Suppose that the piecewise function J is defined by f(2)= {**** -1<<3 - 3x2 + 2x + 23, 2> 3 Determine which of the following statements are true. Select the correct answer below: O f() is not continuous at I = 3 because it is not defined at I = 3. Of() is not continuous at 2 = 3 because lim f(x) does not exist. f() is not continuous at I = 3 because lim f() f(3). ->3 f(x) is...
For the function shown below, find (if the quantity exists) (A) lim f(x). (B) lim f(x). (C) lim f(x), and (D) f(O). X-0- xo f(x) = 18 - x?, for x 50 18 + x? for x > 0 (A) Select the correct choice below and fill in any answer boxes in your choice. OA lim f(x) = B. The limit does not exist. (B) Select the correct choice below and fill in any answer boxes in your choice.
For the following piecewise-defined function f. find the critical numbers, local extreme values, and absolute extreme values on the closed interval 6, 90 20r109 if 6<214 f(z) 14< <18 8 87 if 18 < z<90 10+237 if Critical number(s) Preview Local minimum value(s) Preview Local maximum value(s) Preview Absolute minimum value: Preview Absolute maximum valug: Preview Points possible: 1 This is attempt 1 of 2. Submit For the following piecewise-defined function f. find the critical numbers, local extreme values, and...
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) =
Use the graph of the piece-wise function shown to determine the values of the quantities. Itf a t exist explain why. does (b) lim, f(x) (c) f(O) (d) ly/(x) 2-1+1 2 3 4 5 (e) f(2) (f) lim f(x) (g) f(4) im
Use the graph of the piece-wise function shown to determine the values of the quantities. Itf a t exist explain why. does (b) lim, f(x) (c) f(O) (d) ly/(x) 2-1+1 2 3 4 5 (e) f(2) (f) lim...
y? - 2xy x + y2 if (x, y) + (0,0) 7. Given the piecewise function: f(x,y) 0 if (x, y) = (0,0) a) Show that: limf(x,y) does not exist. *(x,y) (0,0) b) Find: fy(0,0). c) Where is f continuous? Where is f differentiable? Explain.
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