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Sketching graphs Sketch a possible graph of a function f that satisfies all the given conditions. Be sure to identify all vertical and horizontal asymptotes.
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Chapter 2 Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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- Tutorial Exercise Use the given graph of the function y = f(x) to find the following quantities, if they exist. y 3 1 -6 -5 -4 -3 -2 -1 1 (a) lim f(x) X-4 (b) lim f(x) X-1- (c) x--1+ lim f(x) (d) lim f(x) x--1 (e) f(-1) Step 1 of 3 (a) lim f(x) X→-4 Recall lim f(x) exists if and only if lim f(x) = lim f(x). a+ Xa Xa Also recall lim f(x) = L if the values of f(x) can be made arbitrarily close to L by taking x sufficiently close to a for Xa x a. Using the graph, find the values (if they exist) of lim f(x) and lim f(x). (If a limit does not exist, enter DNE.) X→-4+ X-4- lim f(x) = X→-4- lim f(x) = X→-4+ O, lim f(x) ---Select--- X--4 O and its value is as follows. (If the limit does not Since these limits -Select--- exist, enter DNE.) lim f(x) = X-4arrow_forwardA function fis given. f(x) = 7 - 2x, 1arrow_forwardQ3! Please answer !arrow_forwardWhich of the properties is associated with the graph of the function shown below? f(x)=-22(x+3)+ 5 1. Domain of x: {xI xER} 2. Range of y: {yI yER} 3. Range of y: {yI y<5, yER} 4. y: {yI y<-5, yER} 5. Asymptote of y=5 6. y=-5arrow_forwardQ-1: Follow the "Four-Step method of graphing a piecewise defined function" to graph the f(x). [Refer to the canvas notes for these steps] Label the coordinates of the end points of each piece and indicate if the point is to be included or excluded from the curve by drawing either a solid circle [if point is included in the graph] and an open circle [if the point is not included in the graph] about the end point. f(x) = {x²) ) if if x 2.arrow_forwardQuestion: What does the graph of f(x) say about the value of lim f(x)? x->-1+ y -3 -2 2 3arrow_forwardDescribe how the graph of the function below can be produced by transforming the graph of f(x) = or ƒ (x) = = 2/2. f(x) = +2 (x+2)² Show the completed function graph with any vertical and horizontal asymptotes marked.arrow_forwardSolve itarrow_forward6 - Draw the graph of y=f(x) and Y=1/f(x)on the same axes. State thedomain, a range of reciprocal function. F(x)=x^2 -5x+6arrow_forwardarrow_back_iosarrow_forward_ios
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