f(x) (2x 2 3x when x is less than or equal to 4) (ax b when x is greater than 4 or less than 3) ( x 3 4x 2 when x is greater than or equal to 3) Find a and b so that f(x) is continuous a) a 11 7 and b 60 7 b) a 11 7 and b 96 7 c) a 11 7 and b 22 7 d) a 96 7 and b 11 7

The Answer is in the image, click to view ...

Question: f(x) = (2x 2 +3x when x is less than or equal to -4); (ax+b when x is greater than -4 or less than 3);

f(x) = (2x²+3x when x is less than or equal to -4); (ax+b when x is greater than -4 or less than 3); (-x³+4x² when x is greater than or equal to 3). Find a and b so that f(x) is continuous.

a) a=11/7 and b=60/7

b) a=-11/7 and b=96/7

c) a=-11/7 and b=22/7

d) a=96/7 and b=-11/7

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!

I need solve this question Explain why the function is discontinuous at the given number a. (Select all that apply.) f ( x ) = 2x 2 - 3x - 2 x - 2 if x * 2 a = 2 if x = 2 lim f(x) does not exist. X -...

Please do question 31, 43, 49, 59, and 63. 322 CHAPTER 5 Exponential and Logarithmic Functions 57. 22 + 24 - 12 = EXAMPLE 8 Solving Equations Using a Graphing Utility 61. 16* + 41+1. 65. 3. 4 + 4. 21...

\\'7 Flag question Time left 1:59:20 Which of the following characteristics correspond(s) to the graph of the function 3x2+ 10x + 3 (3(x) = ? X+3 Select one: Q a. Vertical asymptote O b. Point of...

Simplify each expression. 1 ) ( 4n + 5 + 5n3) + (6n+ 3-n3) - (8n2 +n) 2 ) ( 2 x 2 + 2x3 + 5 ) + (7 + x+ 4x3) - (4x+ 8x3) Find each product. 3 ) ( 6m + 3 ) ( 7m + 7 ) 4) (8r + 1)(2r -6) Divide. 5) (n'...

= Given the functions f (x): 2x, g(x) = 3x + 1, & h(x) = = 4x -5x+2, determine [g (x)] 3x+6x+1 4x2 9x2+6x+1 8x2 10x +4 6x + 2 9x2 +1 1 1 ponto -DO Given the functions f (x) = 2x, g(x) = 3x + 1, &...

Choose the end behavior of the graph of each polynomial function. Falls to the left and rises to the right (a) f(x) = -x - x 2 Rises to the left and falls to the right + 4x + 5 O Rises to the left...

2. Differentiate each function. Do not expand any expression before differentiating. a. f (x) = (2x + 3)4 b. y = (5 - x) 6 C. 8 (x) = (x2 - 4) 3 d. y = (7 - x3) 5 e. h (x) = (2x2 + 3x -5)4 f. y = (5x...

3. The line described by the function f (x) = 2x + 2- 4 is tangent to the function g (x) = tan (4x) at one point on the interval [ - 2, 0]. What are the coordinates of this point? A. ( - 1, B. (- V3,...

Problem 1 O solutions submitted (max: Unlimited) Write a function that takes in a scalar value and performs the following evaluation 1. If the input is greater than 10, the function output should be...

You are the chief executive officer of Money Games Inc.(MGI), which has begun to market Borrow & Spend, a video game set in the world of finance. To buy ads, MGI borrows $50,000 from First...

Happy Paws charges $19.00 plus $1.50 per hour to keep a dog during the day. Woof Watchers charges $14.00 plus $2.75 per hour. Write and solve an equation to find for how many hours the total cost of...

Harry has been found guilty of persistent default in sending various documents and returns to the Registrar. What is the maximum period for which he may be disqualified? A Five years B Ten years C...

A worrisome outcome of chronic inflation is that it tends to ________. erode confidence in a country's currency give central banking officials excessive flexibility to manage monetary policy increase...

3. What is meant when we say that people with a Protestant character exhibit manipulative behaviour?

An improvement in the exchange of information in negotiations.

1. Effort is important.