Problem Sheet #8 (3.4)
Classlb:
Math 1090
S
Hmk.’Score
Instructor: Katrina Johnson
Name:
001 Spring 2013
0o\orS
-
Complete each problem. Clearly indicate your final answer. No credit will be given without
supporting work.
3
1. Given the function f(x) = 4x + 12— x
a) Write the function in standard form.
f(c)=
3
-
—
2
3x
44l
b) What is the leading coefficient?
c) What is the degree of the polynomial?
3
d) What are the zeros of the function?
(+3) +4(c+!)
2
-
o-
-)(+2zo
-
y.r2O
(443)(-’c #2)(’42.)
e) What is the y-intercept?
0—0 i-oi-l
f) bescribe the end behavior.
0r
g) Sketch the graph. (Be sure to clearly label
important points on your graph.)
‘.%.
2)
_i
,
x>3
2. Give the function h(x)= 2x+3
7
a) Evaluate;
I) h(4)
=
ii) h(1)
-
—1<x3
x—4
-
20)4
3
iii) h(—2)
%r’i
lS
iv) h(-1)
a-.,
-
v)h(-4)
]
b) What is the domain of the function? (Write your answer in interval notation.)
(-o, -‘iO (_co)
c) What is the y-intercept?
=3
d) What is the x-intercept(s)?
=o
2
-x
23=o
7
/-,
-\_
2