5. Which of the following statement(s) is true about the rational function: x + 3 f (x) x - 3 1. The graph has a hole (point discontinuity) II. The horizontal asymptote is y = 1 II. The vertical asymptote is x = 3 %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 7E
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difference of squares x? - a? = (x - a)(x + a)
difference of cubes
sum of cubes x + a = (x + a)(x² - ax + a?)
x³ - a = (x - a)(x² + ax + a²)
Assume that i denotes the imaginary unit, where i? = -1., e denotes the natural constant (= 2.72)
Continuous compounding model: f(t) = Per Discontinuous compounding model: (t) = P(1+n)
-b±/6²-4ac
2a
Quadratic formula: If 0 = ax² + bx + c, then =
1 TH
2 If f(Y) - Y.2 and a(x) = x² + 2x what is the composition
ho grog of a
Transcribed Image Text:difference of squares x? - a? = (x - a)(x + a) difference of cubes sum of cubes x + a = (x + a)(x² - ax + a?) x³ - a = (x - a)(x² + ax + a²) Assume that i denotes the imaginary unit, where i? = -1., e denotes the natural constant (= 2.72) Continuous compounding model: f(t) = Per Discontinuous compounding model: (t) = P(1+n) -b±/6²-4ac 2a Quadratic formula: If 0 = ax² + bx + c, then = 1 TH 2 If f(Y) - Y.2 and a(x) = x² + 2x what is the composition ho grog of a
5. Which of the following statement(s) is true about the
rational function:
x +3
f (x) =
%3D
x - 3
I.
The graph has a hole (point discontinuity)
The horizontal asymptote is y = 1
The vertical asymptote is x = 3
I.
III.
A) only statement I is true
B) only statement II is true
C) only statement II is true
D) only statements II and III are true
E) all of the statements are true
Transcribed Image Text:5. Which of the following statement(s) is true about the rational function: x +3 f (x) = %3D x - 3 I. The graph has a hole (point discontinuity) The horizontal asymptote is y = 1 The vertical asymptote is x = 3 I. III. A) only statement I is true B) only statement II is true C) only statement II is true D) only statements II and III are true E) all of the statements are true
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