MATH 117 – College Algebra
Quiz II
Please answer all questions
1. Given the following piecewise function:
 x  5 if  2  x  1

f ( x)   1
if 1  x  3
4  x if
x3

(a) Find
f (5), f (0), f (8)
[3]
(b) Find the intercepts
[4]
(c) Determine the domain of f (x)
[2]
(d) Graph the function f(x)
[6]
(e) Use the graph to find the range of f (x)
[2]
(f) State with reason if f (x) is continuous on its domain.
[2]
(b) In 2017, ELEC-TT had the following rate schedule for electricity usage for residential purposes;
Monthly service charge $100.00
Per KWh charge:
1st 1000 KWh: $1.75/KWh
Over 1000 KWh: $3.52 /KWh
(i)What is the charge for using 998 KWh in a month?
[2]
(ii)What is the charge for using 2500 KWh in a month?
[3]
(iii) If C is the monthly charge for x KWh, develop a model relating the monthly charge and kilowatthours used. That is, express C as a function of x.
[4]