I need this Answer at half time Quickly. Please (a) Consider the following graph of a function y = f(x):-11.236-1-2(i) Sketch the graph of the derivative f' (x) of the above function f(x).(b) Let f(x) be a function defined byах + b,x > 2f(x)lx² - ax,x < 2Where a and b are constants. If f(x) is differentiable at x = 2, then find the valuof the value of a + b.(c) Simplify the function f(x) = |x - 1|+ |x+ 1|. Test the continuity of thisfunction at x = 1. At which points this function is nondifferentiable?%3D

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Answered: (a) Consider the following graph of a…

Math

Calculus

(a) Consider the following graph of a function y = f(x): 2 2 3 -2

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

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I need this Answer at half time Quickly. Please

(a) Consider the following graph of a function y = f(x):
-1
1.
2
3
6
-1
-2
(i) Sketch the graph of the derivative f' (x) of the above function f(x).
(b) Let f(x) be a function defined by
ах + b,
x > 2
f(x)
lx² - ax,
x < 2
Where a and b are constants. If f(x) is differentiable at x = 2, then find the valu
of the value of a + b.
(c) Simplify the function f(x) = |x - 1|+ |x+ 1|. Test the continuity of this
function at x = 1. At which points this function is nondifferentiable?
%3D

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