x + 1, x < 2 İk(x – 5)², x > 2' Consider f(x) = ,where k is some constant. 1. Sketch the graph of f for k= 1. 2. The resulting graph in (1) is discontinuous at x = 2. What does it mean for a function to be discontinuous at a point? 3. Find the limits for the original function (the one with k). a. lim f(x) = x-2- b. lim f(x) = X-2+ c. What must be true of these two limits for f to be continuous at x = с. 4. Find the value of k that makes fcontinuous at x = 2.

x + 1, x < 2 İk(x – 5)², x > 2' Consider f(x) = ,where k is some constant. 1. Sketch the graph of f for k= 1. 2. The resulting graph in (1) is discontinuous at x = 2. What does it mean for a function to be discontinuous at a point? 3. Find the limits for the original function (the one with k). a. lim f(x) = x-2- b. lim f(x) = X-2+ c. What must be true of these two limits for f to be continuous at x = с. 4. Find the value of k that makes fcontinuous at x = 2.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.4: Combining And Decomposing Functions

Problem 14E: Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and...

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