Similarty, evaluate f(x) for the values below, and complete the table. 4 3.5 3 2.5 1.5 f(x) 1.75 3 4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 56E
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Please answer all parts of step 2, thanks!!!
Consider the function f(x) = 4x - x 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 fix) = 4x - x, 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 - x?
(3) = 4(3) - (3)2
3.
Step 2
Similarly, evaluate f(x) for the values below, and complete the table.
4
3.5
3
2.5
2.
1.5
f(x)
1.75 3
4.
Transcribed Image Text:Consider the function f(x) = 4x - x 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 fix) = 4x - x, 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 - x? (3) = 4(3) - (3)2 3. Step 2 Similarly, evaluate f(x) for the values below, and complete the table. 4 3.5 3 2.5 2. 1.5 f(x) 1.75 3 4.
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