Question: (1) State in words what it means for a function f to be continuous at (2) Why is the function fo= - 4T - 5

(1) State in words what it means for a function f to be continuous at (2) Why is the function fo= - 4T - 5 discontinuous at a = 5, and why is it continuous everywhere else? (3) What value should we assign to f(a) at a = 5 in order to make it continuous there? Briefly explain

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Kindly solve these questions Exercise 2. Let f: R" -+ R be a real-valued function on R", and X0 = ER" a In point. (a) If f is differentiable at Xo, explain what it means to say that the function z =...

Hi, I need help with my calculus homework, thank you. A student writes the following: 422+13 Problem: Evaluate the limit Iim $_2 23}2 Student answer: Line 1: Direct Substitution is not possible...

Problem 8. (1 point) 1 is discontinuous and state the type of discontinuity: x _ Determine the point at which the function f{x) : removable, jump, innite, or none of these. )7 : .1. Choose the type...

5.2 (Version B) Math 112 Section: Instructor's name: Name: 1. Consider the transformation of the natural exponential = +2 + 4. Describe the transformations in an appropriate order. Draw a sketch and...

1. From the graph of f, state each xvalue at which f is discontinuous. Explain why the function is discontinuous at that point. For each x-value, determine whetherf is continuous from the left, from...

if x #-1 2. Determine whether the function f(@) = x+1 is continuous at x = -1. 2 ifx =-1 3. Given below is the graph of a function y = g(x) .Use the graph to find the answers to each problem. (a)...

1. Obtain graphical and numerical evidence concerning the existence of lim (1+ x). You must provide: . A graph using a window that shows the behavior of the function very close to 0. on your graph....

Math\t107-6381\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tFebruary\t21,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tFebruary\t21,\t2016. o...

Hello tutors please help with the following question: note* this isn't for an assignment but rather for my own comprehension and understanding! Thank you. State whether each of the following...

Read the Case From Good to Great to Gone: The Rise and Fall of Circuit City and answer the following question: Report the updated information regarding the focus company in the case (e.g., the...

Procter & Gamble is a $77 billion company that sells products that are part of most of our daily lives, including Mr. Clean, Cheer, Crest, Vicks, Scope, Pringles, Folgers, Vidal Sassoon, Zest, and...

CPA Shearer is required by AICPA tax ethics rules to inform her client Martinez of significant changes in the Federal income tax laws. True False

The following accounts appear in the ledger of Marigold Corp. after the books are closed at December 31,2019 Common Stock, no par, $2 stated value, 399,000 shares authorized; 293,000 shares issued...