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Sketch the graph of f. Then identify the values of c for which lim f(x) exists. X →→ C f(x) = (x², 5.6 - 0.8x, 4, Step 1 To sketch the graph of f, first consider f(x) = x² for x ≤ 2 by constructing a table of values. X f(x) X 3 f(x) 3.2 -2 x ≤ 2 2

Sketch the graph of f. Then identify the values of c for which lim f(x) exists. X →→ C f(x) = (x², 5.6 - 0.8x, 4, Step 1 To sketch the graph of f, first consider f(x) = x² for x ≤ 2 by constructing a table of values. X f(x) X 3 f(x) 3.2 -2 x ≤ 2 2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
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Sketch the graph of f. Then identify the values of c for which lim_f(x) exists. X →→ C f(x) (x², = 5.6 - 0.8x, 4, Step 1 To sketch the graph of f, first consider f(x) = x² for x ≤ 2 by constructing a table of values. X f(x) X 3 f(x) 3.2 -2 X X ≤ 2 2<x< 7 X ≥ 7 f(x) 4 Step 2 Now, construct a table of values for f(x) 2.4 -1 1 7 4 0 Submit Skip (you cannot come back) 2.4 = 0 7.5 4 1 4.5 5.6 - 0.8x for 2 < x < 7 by substituting values of x in the definition of f(x). 2 Step 3 Finally, consider f(x) = 4 for x ≥ 7. Construct a table of values by substituting values of x in the definition for f(x). 2 1.6 8 5 1.6 8.5 4 0.8 9
Transcribed Image Text:Sketch the graph of f. Then identify the values of c for which lim_f(x) exists. X →→ C f(x) (x², = 5.6 - 0.8x, 4, Step 1 To sketch the graph of f, first consider f(x) = x² for x ≤ 2 by constructing a table of values. X f(x) X 3 f(x) 3.2 -2 X X ≤ 2 2<x< 7 X ≥ 7 f(x) 4 Step 2 Now, construct a table of values for f(x) 2.4 -1 1 7 4 0 Submit Skip (you cannot come back) 2.4 = 0 7.5 4 1 4.5 5.6 - 0.8x for 2 < x < 7 by substituting values of x in the definition of f(x). 2 Step 3 Finally, consider f(x) = 4 for x ≥ 7. Construct a table of values by substituting values of x in the definition for f(x). 2 1.6 8 5 1.6 8.5 4 0.8 9
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Plot the points from all three tables separately and combine them to obtain the graph of f(x). 8 10 -10 WW WW 10 -10 A 6 2 2 4 X 6 6 8 -8 -8 Step 5 The graph reflects that as x approaches 7 from the left, the function f(x) approaches -2 0 0 2 2 and as x approaches 7 from the right, f(x) approaches
Transcribed Image Text:Plot the points from all three tables separately and combine them to obtain the graph of f(x). 8 10 -10 WW WW 10 -10 A 6 2 2 4 X 6 6 8 -8 -8 Step 5 The graph reflects that as x approaches 7 from the left, the function f(x) approaches -2 0 0 2 2 and as x approaches 7 from the right, f(x) approaches
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