WebFind the values of a and b such that the following function is continuous: f ( x ) = ⎩ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎧ 5 , w h e n x ≤ 2 a x + b , w h e n 2 < x < 1 0 2 1 , w h e n x ≥ 1 0 WebWe say that f is continuous at c if lim x → c f ( x) = f ( c). Notice, this actually contains three parts, f ( c) is defined lim x → c f ( x) exists The two values in parts 1 and 2 are equal. So, you need to show the 3 parts of this are true with the function f ( x) = x 2 and when c = 1, or figure out which part is not true. Is f ( 1) defined?

Find the value of constant $k$ that makes this function continuous

Weba. For what values of k will f be continuous at x=2? b. Using the value of k found in part a, determine whether f is differentiable at x=2. Use the definition of the derivative to … WebAs f(x) is continuous at x=2 lim x→2 +f(x)=lim x→2 +(3x−1) =3×2−1=6−1=5 And lim x→2 −f(x)=lim x→2 −(2x+1) =2×2+1=4+1=5 ⇒f(2 −)=f(2 +)=k since f is continuous at x=2 ∴k=5 Solve any question of Continuity and Differentiability with:- Patterns of problems > Was this answer helpful? 0 0 Similar questions If f:R→R is defined by smokey white devil rehab

Find the value k that makes the function continuous

WebDec 20, 2024 · Answer: 142) f(y) = sin ( π y) tan ( π y), at y = 1. 143) f(x) = {x2 − ex if x < 0 x − 1 if x ≥ 0, at x = 0. Answer: 144) f(x) = {xsin(x) if x ≤ π xtan(x) if x > π, at x = π. In … WebFree function continuity calculator - find whether a function is continuous step-by-step WebSep 15, 2024 · 👉 Learn how to find the value that makes a function continuous. When given a piecewise function which has a hole at some point or at some interval, we fill ... smokey wilson ministries