Question: The function graphed in the accompanying figure. What value should be assigned to (2) to make the extended function continuous at x = 2? f(x)

The functionf(x) = x-1, 2x, 1, -2x + 4, 0, -1 x <

graphed in the accompanying figure.0 0 < x < 1 x = 1 1 < x

What value should be assigned to ƒ(2) to make the extended function continuous at x = 2?

f(x) = x-1, 2x, 1, -2x + 4, 0, -1 x < 0 0 < x < 1 x = 1 1 < x < 2 2

Step by Step Solution

★★★★★

3.32 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To make the function continuous at x 2 we need to make sure that the lef... View full answer

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 Precalculus Questions!

Q:

Use the addition formulas to derive the identities. cos x + TT 2 = -sin x

Q:

Choose the correct answer in each item. 1. For x #4, the function is equal to + x- 20 X-4 -. What value should be assigned to h(4) to make h(x) continuous at x = 4? A. -1 B. 0 C. 5 D. 9 2. What is...

Q:

In Exercises use the function defined and graphed below to answer the questions. What value should be assigned to (2) to make the extended function continuous at x = 2? x - 1, 2x, -2x + 4, 0, y=f(x)...

Q:

Hi, I need help solving 12, 14, and 15. 78 Chapter 1 / Limits and Continuity x- 1 13. (a) lim - x = 2, 1.5, 1.1, 1.01, 1.001, 0, 0.5, 0.9. *-1x3 - 1 0.99, 0.999 y = f(x) * +1. t = 2, 1.5, 1.1, 1.01,...

Q:

Determine the intervals on which the following function is continuous. p(x) = 3x4 + 6x3 + 5 C" The function is continuous on the interval(s) |:|. (Simplify your answer. Type your answer in interval...

Q:

Question: 2. Consider a particle in an infinite square well. It is in the initial state y(x, 0) = A [$1(x) + $2(x)] where on (x) is the energy eigenfunctions for the infinite square well. (a) Plot...

Q:

1. Select the one function that is NOT continuous on the interval (2,9) The slope of the tangent line to y=f(x) at the point where x=5 can be computed using which one of the following limits?...

Q:

In Exercises use the function defined and graphed below to answer the questions. What new value should be assigned to (1) to make the new function continuous at x = 1 ? x - 1, 2x, -2x + 4, 0, y=f(x)...

Q:

Next question Find the derivative of y with respect to x. y = In(10x) + 9x dy dxNext question Use logarithmic differentiation to find the derivative of y with respect to t. V11t y = t . . . dy its dt...

Q:

9/14/10 12:39 PM Page 381 Chapter dug84356_ch06a.qxd 6 Rational Expressions Advanced technical developments have made sports equipment faster, lighter, and more responsive to the human body. Behind...

Q:

Read these two articles Job Crafting Times Bakker Derks and Job Crafting Wrzesniewski & Dutton 1. Write a detailed summary (literature review) of the two journal articles, 2. Explain how the...

Q:

A national survey of insurance offices was taken, resulting in a random sample of 245 companies. Of these 245 companies, 189 responded that they were going to purchase new software for their offices...

Q:

The Federal transfer tax system includes three separate taxes. True False

Q:

b. How can a knowledge of call options help a financial manager to better understand warrants and convertibles?pg.12

Q:

In problem, for each polynomial function: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine the behavior...

Q:

In problem, solve each inequality algebraically. x 3 x 0

Q:

In problem, solve each equation in the real number system. 3x 4 + 3x 3 - 17x 2 + x - 6 = 0

Q:

Payme Park comes with Cool World by providing a variety of Playtime sosties at $400 per personas a re-day entrance for the core 500 per person and food cost $254.000 per mon compte Paytime Pub...

Q:

Majestic Corporation began the year with accounts receivable, inventory, and prepaid expenses totaling $62,000. At the end of the year, Majestic had a total of $75,000 for these current assets. At...

Q:

Explain, with an example, the purpose of the pre-acquisition entries in the preparation of consolidated financial statements