Graph of Rational Function - Pre Calculus - Quiz, Exercises of Calculus

It is the notes of Pre Calculus which includes Statement Completion, Solving the System, Prior Calculations etc. Key important points are: Graph of Rational Function, Simple Equations, Arithematic Calculations, Hole, Vertical Asymptotes

Typology: Exercises

2012/2013

Uploaded on 02/06/2013

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Name__________________________________
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Honors PreCalculus Quiz 3.5-3.7
SHOW ALL WORK!!!!
Analyze the graph of the rational function for the given step
.
1
)
Find the vertical asymptote(s) and/or hole(s) for R(x) = x2 + x - 56
x2 - x - 42 .
Graph the function.
2
)
f(x) = x + 4
x
x
-10-8-6-4-2 246810
y
10
8
6
4
2
-2
-4
-6
-8
-10
x
-10-8-6-4-2 246810
y
10
8
6
4
2
-2
-4
-6
-8
-10
1
pf3

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Name___________________________________

Honors PreCalculus Quiz 3.5-3.

SHOW ALL WORK!!!!

Analyze the graph of the rational function for the given step.

1) Find the vertical asymptote(s) and/or hole(s) for R(x) = x2 + x - 56

x2 - x - 42

Graph the function.

2) f(x) = x +^4 x

-10 -8 -6 -4 -2 2 4 6 8 10 x

10 y 8 6 4 2

-10 -8 -6 -4 -2 2 4 6 8 10 x

10 y 8 6 4 2

MULTIPLE CHOICE. Choose the one alternative that solves the problem

Make up a rational function that has the given graph.

-5 -4 -3 -2 -1 1 2 3 4 5 x

5 y 4 3 2 1

-5 -4 -3 -2 -1 1 2 3 4 5 x

5 y 4 3 2 1

A) R(x) = (x + 2)(x - 3)x - 2 B) R(x) = (x + 2)(x - 3)2 - x

C) R(x) = x - 2

(x + 2)2(x - 3)^

D) R(x) = (x - 2)(x + 3)x + 2

Construct a rational expression with the given characteristics.

4) The graph of R(x) crosses the x-axis at -1, touches the x-axis at -4, has vertical asymptotes at x = -2 and x = 3,

and has one horizontal asymptote at y = -2.

A) R(x) = -(x + 1)(x + 4)

2(x - 2)2(x + 3)

, x ≠ 2, -3 B) R(x) = -2(x + 1)(x + 4)

(x + 2)2(x - 3)

, x ≠ -2, 3

C) R(x) = -2(x -3)(x + 2)

(x + 4)2(x +1)

, x ≠ -4, -1 D) R(x) = -2(x + 1)(x + 4)(x + 2)(x - 3) , x ≠ -2, 3

SHOW ALL WORK!!!!

Solve the inequality.

5) x3 - 3x2 - 28x > 0