9. Explain why the function below is discontinuous at the given number a.Sketch the graph of the function 1 if x #-2 f(...

Question

Question

9. Explain why the function below is discontinuous at the given number a.Sketch the graph of the function 1 if x #-2 f(x)= х+

math calculus

Answer 1

Answer #1

7 a t-2 a=-2 i-2 the graph, we can see lim fx im lim fix) does not exit S0, fis discentinueus at

Answer 2

Similar Homework Help Questions

1. The graphs of f and g are given below. Use the graphs to answer the...

1. The graphs of f and g are given below. Use the graphs to answer the following questions. y=80) y = f(x) 1 की Graph of y = f(x) Graph of y = g(x) a) f(-1)+(-1) b) f(0) + 9(0) c) f(2) + 9(2) d) limg-2-(3) + g(x)) e) lim-1-((x) - 9(x)) f) lim +1+(f() - 9(x)) g) lime-1(f(x) - 9(x)) h) lim2+2x29(2) i) Find the point(s) of discontinuities of f(x). Explain why the function is discontinuous at those points....
6 (12) For each function in parts a through f, state a domain that, ifit was...

6 (12) For each function in parts a through f, state a domain that, ifit was the domain of the given function, would make the function one-to-one, and explain your answer. If no such domain exists, explain why not. (Hint: graph the function and use the appropriate line test) a. f(x) x 2| b. g(x) 3D х? —1 с. q(х) 3D х2 - 3х — 4 d. k(x)x3 9 = е. f(x) %3D Зх — 1 f l(x) 2x +...
(a) Graph the given function, (b) find all values of x where the function is discontinuous,...

(a) Graph the given function, (b) find all values of x where the function is discontinuous, and (c) find the limit from the loft and the right at any values of x where the function is discontinuous 4x2 x) X-3x+ 2 x>0 xs0 (a) Choose the correct graph below O dos (b) Select the correct choice below and, if necessary, fill in the answer box within your choice, O A. The function is discontinuous at (Use a comma lo separate...

The function f(x) is given by the graph below: (a) Write a piece-wise formula for f(x): (b) Determine if each of the fo...

The function f(x) is given by the graph below: (a) Write a piece-wise formula for f(x): (b) Determine if each of the following graphs are simple (single shifts, scalings, or reflections) transformations of f(x). If it is, write a formula for the graph in terms of f. Otherwise, explain why it is not The function f(x) is given by the graph below: (a) Write a piece-wise formula for f(x): (b) Determine if each of the following graphs are simple (single...
1 6. Where is the function f(x) { { - X4 if x # 0 discontinuous?...

1 6. Where is the function f(x) { { - X4 if x # 0 discontinuous? if x = 0 0 Is this a removable discontinuity? ex if x < 0 7. Where is the function f(x) discontinuous? x2 if x > 0 Is this a removable discontinuity? Is it a jump discontinuity? f(x) = {
9. Graph the function defined by f(x) = 2 x +1 -3. Parent function: f(x) =...

9. Graph the function defined by f(x) = 2 x +1 -3. Parent function: f(x) = x 1. f(x) = 2x +1 -3 Shift the graph to the left 1 unit 2. f(x) = 2 x +1 -3 Apply a vertical stretch multiply the y-values by 2) 3. f(x) = 2x+1-3 Shift the graph downward 3 units. 10. Graph the function defined by = (x) = -V3- x. Parent function y = x

The graph of f(x) is given below: 11 godina osno obs 11-10-9-8 -7 -6 -5 4...

The graph of f(x) is given below: 11 godina osno obs 11-10-9-8 -7 -6 -5 4 -3 -2 - 1 2 3 4 5 6 7 8 9 10 11 12 a-Draw a tangent to the given figure for x=9 and explain in a few words what this line tells us about the curve of the function f(x). b. In the interpretation of f19), it is said that the result oives an approximation of the function asx is increased by...
2. f is the function on (0, 1) given below. (a) Is f integrable? Prove your...

2. f is the function on (0, 1) given below. (a) Is f integrable? Prove your answer. (b) At what values of x is f discontinuous? Give a short proof of this. _s 1 if if x = 1,,,,...I where neN f(3) = 0 otherwise
1. Given the graph of the function f(x) below, find the following fi 6-5-421/4 2 345...

1. Given the graph of the function f(x) below, find the following fi 6-5-421/4 2 345 6 -2 -6 The domain of f(x):The range of f(x): Interval(s) where f(x) is increasing: . The -intercept(s) of f() The value(s) of z for which f(x) 1 Interval(s) where f(x) is negative: . Is the function f(x) invertible? YES or NO (Circle one) Explain your reasoning: . The portion of the graph from z -1 to x-2 is linear. Find an equation for...

5) The level curves of a function f(x,y) are given in the graph below. 2 X...

5) The level curves of a function f(x,y) are given in the graph below. 2 X -1 -2 i Estimate f(3,3) ii Estimate Vf(-3, 1) Let u be a unit vector parallel to (1,4). Calculate Daf using your answer from i iv) Find the location of all critical points of the function f, on the set -5 <r< of these is a saddle point) iii) Let D be the domain bounded between the curves y = x and y= 2...