Exercise (a) Graph fand 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. Step 2 Similarly, evaluate f(x) for the values below, and complete the table. 4 Submit Skip (you cannot come back) 3.5 3 1.75 3 2.5 2 4 1.5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 1E
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Exercise (a)
Graph fand 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
Step 2
Similarly, evaluate f(x) for the values below, and complete the table.
F(x)
4
Submit Skip (you cannot come back)
3.5
1.75
2.5
1.5
Transcribed Image Text:Exercise (a) Graph fand 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 Step 2 Similarly, evaluate f(x) for the values below, and complete the table. F(x) 4 Submit Skip (you cannot come back) 3.5 1.75 2.5 1.5
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