49-50 Getting Information from a Graph Find, rounded toINo decimal places, (a) the intervals on which the function isincreasing or decreasing and (b) the range of the function.50. y = x2"

Answered: 49-50 Getting Information from a Graph…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section4.1: Exponential Functions

Problem 49E

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DISCUSS Four Ways to Represent a FunctionIn the box onpage 190 we represented four different functions verbally,algebraically, visually,and numerically.Think of a function that can be represented in all four ways, and give the four representations.
Domain,Interval of growth and decrease ,Asymptote by making the link with the characteristics of f(x) and g(x)
Analyze and sketch the graph of the function. Identify any relative extrema, points of inflection, and asymptotes. (Round your answers to three decimal places. If an answer does not exist, enter DNE.)
2. Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function.
1. Estimate the intervals where the function is increasing and decreasing (use interval notation.) 2. Use the graph of the function to estimate the local maximum and local minimum of the function. (Round your answer two decimal places. (If an answer does not exist,enter DNE.)
116. Proof Use the definitions of increasing and decreasing functions to prove that $f(x)=x^{3}$ is increasing on $(-\infty, \infty)$.
Analyze and sketch a graph of the function over the given interval. Label any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE. For the points of inflection, below, use a graphing utility or a computer algebra system, and round your answer to three decimal places.) function Interval g(x)= xtanx -3pi/2<x<3pi/2
Solve the problem. Show the complete solution and the final answer. Determine the extrema of the following function on the given interval, if there are any, and determine the values of x at which the extrema occur. (show in a graphing calculator).
Environment of Forests Following the lead of the National Wildlife Federation, the Department of the Interior of a South American country began to record an index of environmental quality that measured progress and decline in the environmental quality of its forests. The index for the years 2004 through 2014 is approximated by the function where t = 0 corresponds to 2004. Find the intervals where the function I is increasing and the intervals where it is decreasing using interval notation.
1. What is the domain of this graph?2. What is the range?3. In interval notation, give the range of years for which the price of gas was• Incressing Interval(s).• Decreasing Interval(s):• Constant (if applicable)How many turning points does the graph have for this period show?
2(2) Show, and explain well your calculations. Please find: A) Image of the function given. B) Intervals where the g(x) function is positive or negative. C) Growth and decay intervals of the g(x) function. D) The intersection points of the affine function and its inverse.
Activity 2: Let us try to find where a function is increasing or decreasing given the following. 1. f(x) = x3−4x, for x in the interval [−1,2]2. h(x)=−x3 + 3x2 + 93. y = 2x – 5 on interval ( - ∞, ∞)

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49-50 Getting Information from a Graph Find, rounded to INo decimal places, (a) the intervals on which the function is increasing or decreasing and (b) the range of the function. 50. y = x2"