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Calculus Algebra Review: Evaluating Expressions and Sketching Functions, Exercises of Calculus

Birla Institute of Technology and ScienceCalculus

A calculus algebra review consisting of evaluating expressions using given functions and sketching their corresponding graphs. The review includes 14 problems with various functions and inequalities.

Typology: Exercises

2012/2013

Uploaded on 01/31/2013

ekavia
ekavia 🇮🇳

4.3

(58)

241 documents

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Calculus Name__________________
Algebra Review #4
Evaluate.
1.
2
x 2x, x 1
f(x) x 2, x 1
− − <−
=+ ≥−
a.
( )
f3−
b.
( )
f0
c.
( )
f1−
2.
( )
2
2x 1, x 1
gx x 3x 5, x 1
−− ≤
=−+ − >
a.
( )
g1
b.
( )
g2−
c.
( )
g0
Sketch the following and find the domain of each.
3.
y 3x 5= +
4. y = x
5. x = 2 6.
7.
5x 20
yx2
−
=+
pf3

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Calculus Name__________________

Algebra Review #

Evaluate.

2 x 2x, x 1 f (x) x 2, x 1

 +^ ≥ −

a. f ( − 3 )

b. f ( 0 )

c. f ( − 1 )

2

2x 1, x 1 g x x 3x 5, x 1

^ −^ −^ ≤

−^ +^ −^ >

a. g 1( )

b. g ( − 2 )

c. g 0( )

Sketch the following and find the domain of each.

  1. y = 3x + 5 4. y = x
  2. x = 2 6.

2 2x 7x 6 y x 2

5x 20 y x 2

2 3x 12 y x 2

2 y = 2x − 4x + 1

2 y = − x + 4x − 2 10.

3 x 1 y x 1