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Let y = f(x) be given by the graph below: -6 -5 -4 -3 -2 -1 6 ✔ 4 3 2 1 -1 -2 Determine the exact value of lim f(x) *+-4+ 12 3 4 5

Let y = f(x) be given by the graph below: -6 -5 -4 -3 -2 -1 6 ✔ 4 3 2 1 -1 -2 Determine the exact value of lim f(x) *+-4+ 12 3 4 5

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26MCQ
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The image presents the problem: "Let \( y = f(x) \) be given by the graph below:" It includes a graph on a Cartesian plane, with a red curve representing the function \( f(x) \). Several points along the graph are highlighted, indicating key features: - The curve begins from the left, initially increasing, reaches a peak at approximately \((-5, 1)\), and then decreases. - There is a notable point at \((-4, 1)\), which the curve passes through. - A hole is present on the curve at \((-4, 1)\), indicating a discontinuity at this point. - The curve decreases to a minimum around \((-3, -1.5)\) and then increases again to a local maximum roughly at \((0, 6)\). - The graph then decreases, passing through \((1, 0)\) and continuing in a downward trend. - At \(x = 2\), a point is marked at \((2, -1)\), signifying another critical point on the curve. - From \(x = 2\), the curve increases to a peak before declining off the frame, with a hole visible at approximately \((3, 5)\). The task at the bottom of the image is to: "Determine the exact value of \(\lim_{x \to -4^+} f(x)\)." The graph suggests examining the right-hand limit as \(x\) approaches \(-4\) from the positive side, which visually approaches the value around \( \(-1\) on the graph.
Transcribed Image Text:The image presents the problem: "Let \( y = f(x) \) be given by the graph below:" It includes a graph on a Cartesian plane, with a red curve representing the function \( f(x) \). Several points along the graph are highlighted, indicating key features: - The curve begins from the left, initially increasing, reaches a peak at approximately \((-5, 1)\), and then decreases. - There is a notable point at \((-4, 1)\), which the curve passes through. - A hole is present on the curve at \((-4, 1)\), indicating a discontinuity at this point. - The curve decreases to a minimum around \((-3, -1.5)\) and then increases again to a local maximum roughly at \((0, 6)\). - The graph then decreases, passing through \((1, 0)\) and continuing in a downward trend. - At \(x = 2\), a point is marked at \((2, -1)\), signifying another critical point on the curve. - From \(x = 2\), the curve increases to a peak before declining off the frame, with a hole visible at approximately \((3, 5)\). The task at the bottom of the image is to: "Determine the exact value of \(\lim_{x \to -4^+} f(x)\)." The graph suggests examining the right-hand limit as \(x\) approaches \(-4\) from the positive side, which visually approaches the value around \( \(-1\) on the graph.
Expert Solution
Step 1: Consider the given graph

Consider the graph of y equals f left parenthesis x right parenthesis given below

Calculus homework question answer, step 1, image 1

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