Question

2. Discuss the continuity of the following function (responses without reasons will receive no credit): y...

2. Discuss the continuity of the following function (responses without reasons will receive no credit):

y = f(x) = x + 7 if x < 3

                9 if x = 3

                3x + 1 if 3 < x < 4

                13 if x = 4

                x + 9 if x > 4

Continuous for x<3 (y/n)? ____ Why or why not? ________________

Continuous at x=3 (y/n)? _______ Why or why not? ______________

Continuous for 3 < x < 4 (y/n)? ______ Why or why not? ___________

Continuous at x=4 (y/n)? _______ Why or why not? _______________

Continuous for x>4 (y/n)? ______ Why or why not? _______________

Be sure to indicate the left and right limits at each of the critical values when applicable.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
4. Given the function y = f(x) = 2x^3 + 3x^2 – 12x + 2 a....
4. Given the function y = f(x) = 2x^3 + 3x^2 – 12x + 2 a. Find the intervals where f is increasing/f is decreasing b. Find the intervals where f is concave up/f is concave down c. Find all relative max and relative min (state which is which and why) d. Find all inflection points (also state why)
Consider the function f(x)= x3 x2 − 4 Express the domain of the function in interval...
Consider the function f(x)= x3 x2 − 4 Express the domain of the function in interval notation: Find the y-intercept: y= . Find all the x-intercepts (enter your answer as a comma-separated list): x= . On which intervals is the function positive? On which intervals is the function negative? Does f have any symmetries? f is even;f is odd;    f is periodic;None of the above. Find all the asymptotes of f (enter your answers as equations): Vertical asymptote (left): ; Vertical...
1.) Perform the following multiplication using Booth’s algorithm: (You will receive full credit only if you...
1.) Perform the following multiplication using Booth’s algorithm: (You will receive full credit only if you show all your work)      13 x -13 (a) 27/4 Using paper pencil approach and (b) simulate how a machine does this job 2.)Perform the following division as directed: (a) 27/4 using non-restoring division algorithm // we need 4 quotient bits. (b) Using Newton-Raphson algorithm find 1/d when d=0.84 // show the results of the first 3 iterations 3.) A real-time computer system has...
Consider the following production function: Y = output = AK1/2N1/2, A = productivity, K = capital,...
Consider the following production function: Y = output = AK1/2N1/2, A = productivity, K = capital, N = labor. a) (3 pts.) Suppose that Y = 1331, K =121, and N = 121. Find A. b) (4 pts.) Find the marginal product of capital (MPK), measured as the additional output that arises when the capital stock is increased by 1 unit. (Start with the values of A, K and N that you found in part (a).) c) (4 pts.) Suppose...
4.4-JG1 Given the following joint density function in Example 4.4-1: fx,y(x,y)=(2/15)d(x-x1)d(y-y1)+(3/15)d(x-x2)d(y-y1)+(1/15)d(x-x2)d(y-y2)+(4/15)d(x-x1)d(y-y3) a) Determine fx(x|y=y1) Ans: 0.4d(x-x1)+0.6d(x-x2)...
4.4-JG1 Given the following joint density function in Example 4.4-1: fx,y(x,y)=(2/15)d(x-x1)d(y-y1)+(3/15)d(x-x2)d(y-y1)+(1/15)d(x-x2)d(y-y2)+(4/15)d(x-x1)d(y-y3) a) Determine fx(x|y=y1) Ans: 0.4d(x-x1)+0.6d(x-x2) b) Determine fx(x|y=y2) Ans: 1d(x-x2) c) Determine fy(y|x=x1) Ans: (1/3)d(y-y1)+(2/3)d(y-y3) d) Determine fx(y|x=x2) Ans: (3/9)d(y-y1)+(1/9)d(y-y2)+(5/9)d(y-y3) 4.4-JG2 Given fx,y(x,y)=2(1-xy) for 0 a) fx(x|y=0.5) (Point Conditioning) Ans: (4/3)(1-x/2) b) fx(x|0.5
1.Consider the following consumption function and the national income identity. C=0.01Y2 +0.8+200 Y=C+S Where, C is...
1.Consider the following consumption function and the national income identity. C=0.01Y2 +0.8+200 Y=C+S Where, C is consumption and Y is national income, and S is saving Calculate the value of marginal propensity to consume (MPC) when Y=8 Find the expression for savings function and using that function calculate marginal propensity to save (MPS) when Y= 8. 2. Consider the supply equation given below: Q=7+0.1P + 0.004 P2 Find the price elasticity of supply if the current price is 80. Is...
For the accompanying data​ set, (a) draw a scatter diagram of the​ data, (b) compute the...
For the accompanying data​ set, (a) draw a scatter diagram of the​ data, (b) compute the correlation​ coefficient, and​ (c) determine whether there is a linear relation between x and y. LOADING... Click the icon to view the data set. LOADING... Click the icon to view the critical values table. ​(a) Draw a scatter diagram of the data. Choose the correct graph below. A. 0 10 0 10 x y A scatter diagram has a horizontal x-axis labeled from 0...
LP Graphical Method Problems 1) MAXIMIZATION PROBLEM - 4 PTS Objective Function: Maximize Profit: 5X +...
LP Graphical Method Problems 1) MAXIMIZATION PROBLEM - 4 PTS Objective Function: Maximize Profit: 5X + 3Y Subject to the constraints: 5 X + 2 Y ≤ 40 3 X + 6 Y ≤ 48 X ≤ 7 2 X − Y ≥ 3 X , Y ≥ 0 ******* 2) MINIMIZATION PROBLEM - 4 PTS Objective function: Minimize Cost: 3X + 7Y Subject to the constraints: 9 X + 3 Y ≥ 36 4 X + 5 Y ≥...
​(a) Draw a scatter diagram of the data. Choose the correct graph below. A. 010020xy A...
​(a) Draw a scatter diagram of the data. Choose the correct graph below. A. 010020xy A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 20 in increments of 2. The following 5 points are plotted, listed here from left to right: (2, 4); (4, 8); (7, 12); (7, 14); (8, 18). B. 010020xy A scatter diagram has a horizontal x-axis labeled from 0 to 10...
2. Yan has preferences over chocolate(x)and vanilla(y)ice cream that are represented by the following utility function:...
2. Yan has preferences over chocolate(x)and vanilla(y)ice cream that are represented by the following utility function: u(x,y) = xy4 3 Notice the power (4/3) just affects good y. (a) Yan is an ice cream connoisseur, meaning, when deciding how much ice cream to buy, there is a minimum level of utility he must reach with ice cream consumption. But he doesn’t want to spend too much money because he is a graduate student. Setup Yan’s constrained expenditure minimization problem. (1...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT