In Exercises 126–131, use a graphing utility to graph eachfunction. Use a [-5, 5, 1] by [-5, 5, 1] viewing rectangle. Thenfind the intervals on which the function is increasing, decreasing,.or constant.126. f(x) = x' – 6x² + 9x + 1127. g(x) = |4 – x²|128. h(x) = |x – 2| + |x + 2|129. f(x) = x*(x – 4)130. g(x) = x131. h(x) = 2 –

NOTE- AS WE ARE ALLOWED TO ANSWER FIRST THREE SUBPARTS IN ONE SESSION SO, I HAVE ANSWERED THREE…

Answered: In Exercises 126–131, use a graphing…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 60E

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In Exercises 37–40, graph the function to see whether it appears to have a continuous extension to the given point a. If it does, use Trace and Zoom to find a good candidate for the extended function’s value at a. If the function does not appear to have a continuous extension, can it be extended to be continuous from the right or left? If so, what do you think the extended function’s value should be?
#5, Describe the increasing, decreasing, and constant behavior of the function. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)
In Exercises 51–54, graph the function ƒ to see whether it appears to have a continuous extension to the origin. If it does, use Trace and Zoom to find a good candidate for the extended function’s value at x = 0. If the function does not appear to have a continuous extension, can it be extended to be continuous at the origin from the right or from the left? If so, what do you think the extended function’s value(s) should be?
In Exercises 55–72, sketch the graph of the function. Indicate the tran- sition points and asymptotes. 57. y = x + 3
Discuss the continuity of the function on the closed interval. g(x) = √(8 − x3) , [−2, 2]
In Exercises 83–86, determine whether thestatement is true or false. If it is false, explain why or give anexample that shows it is false. If the graph of a function has three x-intercepts, then it musthave at least two points at which its tangent line is horizontal
Suppose (π/2,1) is a point on a function f(x). What point must be on the graph of f(x/π)? Explain.
In Exercises 25–30, give a formula for the extended function that iscontinuous at the indicated point.
In Exercises 47–58, say whether the function is even, odd, or neither. Give reasons for your answer. 47. ƒ(x) = 3 48. ƒ(x) = x^-5 49. ƒ(x) = x2 + 1 50. ƒ(x) = x2 + x 51. g(x)=x3+x 52. g(x) = x4 + 3x2 - 1 53. g(x) = 1/( x2 - 1) 54. g(x)=x/(x2-1 ) 55.h(t)=1/(t-1) 56. h(t)=|t3| 57. h(t) = 2t + 1 58. f(t)=2|t|+1 59. sin 2x 60. sin x2 61. cos 3x 62. 1 + cos x
Draw the graph of any function f (x) that passes through the point (3, 2).
3.There are two conditions that must be met in order for a function to be continuous, explain those two steps by using an example.
Exercises 67–70, show that the function has neither an absolute minimum nor an absolute maximum on its natural domain. 67. y = x11 + x3 + x - 5 68. y = (1 - ex) /(ex + 1 ) 69. y = 3x + tan x 70. y = 2x - sin 2x

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