Determine the value that makes a piecewise function continuous Question Determine the value of k so that the piecewise function below is continuous. Sk+ 3x _if x< -3 f(x) = kx – 1 if x> -3 12, you Give just a number for your answer. For example, if you found k would enter 12.

Q: Evaluate: * Sx² – 3 (2х - 3 x 2 f(x) =

A:

Q: 13 f(x) 9x3 - 9x function continuous or discontinuous? ontinuous iscontinuous

A: Determine whether the function is continuous or discontinuous. F(x)=13/9x^3-9x Answer:

Q: Determine where the function h(x) = ((x^2)-1)^2/3 is increasing/decreasing. State the intervals…

A:

Q: Evaluate: * (Зх— 1 f(x) = {5 (x + 2 x 2 x = 2

A:

Q: Determine the points of discontinuity. State the type of discontinuity ( removable, jump, infinite,…

A: Given: fx=1ex-e-x

Q: Find the absolute maximum and minimum values of the following function on the given interval. If…

A:

Q: 5. Example: Explain why the function f defined by, f(x)= x-27 x-3 the discontinuity is removable,…

A: Given is a function f(x)=x3-27x-3    To Explain: Why the function is discontinuous at x=3   Also, if…

Q: Sketch a continuous functionf on some interval that has the properties described. The function f has…

A:

Q: What is range of function f(x) = x-1 which is defined everywhere on its domain? * (-00, 00) – {0}…

A: Topic:- range and Domain of function

Q: Find the absolute maximum and minimum values of the following function on the given interval. If…

A: The given function is,

Q: Considering the following,  -Describe the interval(s) on which the function is continuous.…

A: Continuous Function: The function f(x) is said to be continuous if for every c in the domain of f,…

Q: When can we say that a function is continuous at a number?

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Determine where the following function is continuous. x-2 M(x)= 9x² - 64 The function is continuous…

A: Given problem:-

Q: escribe the interval(S) on which the function is continuous. (Enter your answer using interval nota…

A: Topic:- function

Q: Find the absolute minimum and absolute maximum values of f on the given interval. (Enter your…

A:

Q: The function Ax) above is continuous between -4 <x< 3. All are straight lines except from 1 to 1…

A: Given g(x)=∫0xf(t)dt we need to find g(2). Replace x with 2 and find the area between 0  and 2…

Q: Determine whether the given function is continuous. If it is not, identify where it is…

A:

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: We need to find interval of increase and decrease.

Q: "If a function is continuous at some point then it must be differentiable at that point". Do you…

A: To show whether the given statement is true or false .

Q: Determine where the following function is continuous. X-1 M(x) = 4x - 81 The function is continuous…

A:

Q: given value of x. Show your complete solution.

A:

Q: Determine where the following function is continuous. x-1 M(x) = 4x²-81 The function is continuous…

A:

Q: РТ 2 Directions: Determine if each function is continuous. If the function is not continuous, find…

A: Given: c) f(x)=-x+1x2+x+1 d) f(x)=-x2x-1

Q: 6. Graph and Analyze the function: f(x)= 2\x – x: Find local and absolute extreme values, points of…

A: Given: fx=2x-x . The domain of fx is, D=0,∞. f'x=1x-1 For critical points, f'x=01x-1=0      1x=1⇒…

Q: Determine where the following function is continuous. X-4 M(x): 4x²-81 The function is continuous on…

A:

Q: Find the absolute maximum and minimum values of the following function on the given interval. If…

A: Enter N for other blanks

Q: At what points is the function y = (9x-7)' continuous? 1/3 Describe the set of x-values where the…

A:

Q: Determine the points of discontinuity. State the type of discontinuity ( removable, jump, infinite,…

A:

Q: 9. Algebraically find the domain of the function in interval notation. Show your work. g(x)

A:

Q: (MODULE 3& 4) ACTIVITY 1: Determine if the following functions are continuous at the given value of…

A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines.

Q: Determine the points at which the function f(x) = 2(x + 2)-25 – 5x2 is discontinuous. State the type…

A: Topic : Continuity  answers 1) x= -2 2) Infinite  3) right continuous but not left continuous

Q: A continuous function has a domain of –7<xs10 and has selected values shown in the table below. The…

A: NOTE: Refresh your page if you can't see any equations. . plot all data points on the graph and make…

Q: Find the absolute maximum and minimum values of the following function on the given interval. If…

A: compute first critical points as follows.

Q: If function fis continuous on [-10,5], then which of the following statements must be true? Selected…

A: we have, f is continuous on -10,5 Now, by extreme value theorem  ⇒fx has a both a maximum and a…

Q: 3 - x 6. f(x) 9 + x²

A: Given function is : fx=3-x9+x2 Determine the value of x for which function is continuous.

Q: Activity 4: Determine whether the functions below are continuous or not on a given point or a given…

A: A function f(x) is continuous at a given point x=a   if following conditions are hold: (I)…

Q: Determine if the given function is continuous at 3. * x² + 3 f(x) = {3 – 4x (x – 12 x< 0 0< x< 3 %3D…

A: Given the query is find function is continuous or not at x = 3.

Q: Show that the absolute value function is continuous at x = 0. 2. Show that the signum function is…

A:

Q: Suppose that f (x) is a continuous function with f( – 4) = choice best describes the following…

A: Given f(x) is continuous function . And f(-4) =-4 , f(0)=4 . It means f(x) has values of opposite…

Q: Determine if the given functions f(x) are continuous or not at the given value of x. Show your…

A:

Q: Consider the function f(x) = x³ + 9x² + 15x. Step 1: Find all values of x that correspond to…

A:

Q: Let f (x) = 4x3 + 48x2 + 73. Use the First Derivative Test to determine the relative extreme values…

A: The given function is: fx=4x3+48x2+73 To find the values of relative maximum and relative minimum,…

Q: pls show full solutions and clear   1. Show that the absolute value function is continuous at x =…

A:

Q: х — 1 f(x) — {3х — 3 (-4х + 3 х 3

A:

Q: Consider the function f(x) = – 2a+33 108 +6. Find the critical numbers. (Enter your answers…

A:

Q: Let f (x) = 4x3 + 48x² + 62. Use the First Derivative Test to determine the relative extreme values…

A: Given: f(x)=4x3+48x2+62               -&gt;Eq'n(1) First derivative test: f'(x)=ddx(4x3+48x2+62)  we…

Q: Determine if the function is continuous at a given value of x. Show your complete solution.

A:

Q: Evaluate: (x² – 1 х1

A: Topic:- limits and continuity

Q: Determine if the given function is continuous at -1. * x < -3 - 3<x<-1 x + 7 |x – 2| f(x) = { x2 –…

A: determine if the function is continuous or not. type continuous if the function is continuous at a…

Q: Determine the values of x where the function f (æ) is not continuous. Label each discontinuity as…

A: