Calculus I Quiz 1 - Spring 2002: Functions, Graphs, and Rectangle Perimeter, Exercises of Calculus

The solutions to quiz 1 for the calculus i course offered in spring 2002. Students are required to find the domain and sketch the graphs of given functions, as well as determine the perimeter of a rectangle with a given area. Functions include polynomial, radical, and absolute value expressions.

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2012/2013

Uploaded on 03/31/2013

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MA125 CALCULUS I SPRING 2002
January 2002 QUIZ 1 Jellett
SCORE
NAME:..........................................
/30
1. Find the domain of the following functions:
(i) f(x) = x4
x2+x6
(ii) f(t) = 3
t1
2. Find the domain, and sketch the graphs, of the following functions
(i) f(x) = 5x+ 2|x|
|x|
(ii) f(x) = 2x+ 3 if x < 1
3xif x 1
3. A rectangle has area 16 m2. Express the perimeter as a function of the length
of one of its sides.

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MA125 CALCULUS I SPRING 2002

January 2002 QUIZ 1 Jellett

SCORE

NAME:..........................................

  1. Find the domain of the following functions:

(i) f (x) =

x^4 x^2 + x − 6

(ii) f (t) = 3

t − 1

  1. Find the domain, and sketch the graphs, of the following functions

(i) f (x) =

5 x + 2|x| |x|

(ii) f (x) =

2 x + 3 if x < − 1 3 − x if x ≥ − 1

  1. A rectangle has area 16 m^2. Express the perimeter as a function of the length of one of its sides.