Consider the function f(x) = 4x - x² and the point P(2, 4) on the graph of f. Exercise (a) Graph f and the secant lines passing through P(2, 4) and Q(x, f(x)) for x-values of 3, 2.5, 1.5. Step 1 To sketch the graph of f(x) = 4x - x², first construct a table of values by evaluating the function f(x) for various values of x. Consider x = 3. To evaluate f(x) with x = 3, substitute 3 for x In f(x). f(x) = 4x-x² f(3) = 4(3)-(3)² = 3 3.
Consider the function f(x) = 4x - x² and the point P(2, 4) on the graph of f. Exercise (a) Graph f and the secant lines passing through P(2, 4) and Q(x, f(x)) for x-values of 3, 2.5, 1.5. Step 1 To sketch the graph of f(x) = 4x - x², first construct a table of values by evaluating the function f(x) for various values of x. Consider x = 3. To evaluate f(x) with x = 3, substitute 3 for x In f(x). f(x) = 4x-x² f(3) = 4(3)-(3)² = 3 3.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 100E
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