PAP Precalculus
NONCALCULATOR!!!
Worksheet 1.3 and Parent Functions (3 pages)
Name: ____________________
Graph the following functions with at least 2 accurate points. Tell whether they are even, odd, or neither.
1)
y = x2 − 3
4)
y=
7)
y = ( x + 4) 3
1
x−3
2)
y = x+4
3)
y = [| x |]
5)
y = x3 − 2
6)
y = x−3
8)
y = log(x − 3) + 1
Functions as Mathematical Models
For each relationship described below, identify the two quantities that vary and decide which should be represented
by an independent variable and which by a dependent variable. Sketch a reasonable graph to show the relationship
between the two variables. You should only be concerned with the basic shape of the graph, not with particular
points. Then identify the parent function that would go with your graph.
1.
The amount of money earned for a part-time job
and the number of hours worked.
Independent:
Dependent:
Graph:
Parent Function:
2.
A car is traveling at a constant speed on a
straight road.
Independent: time
Dependent: speed
Graph:
Parent Function:
3.
The temperature of an ice-cold drink left in a
warm room for a period of time.
Independent:
Dependent:
Graph:
Parent Function:
4. A person is pacing back and forth at a constant
speed along a football field. Their distance from
the 50-yard line is changing.
5. The height of a baseball after being hit into the air.
Independent:
Dependent:
Graph:
Parent Function:
6. A car is traveling at a constant speed on a straight
road.
Independent: time
Dependent: distance
Graph:
Parent Function:
7. A person is swinging on a swing.
Independent: time
Dependent: distance off the ground
Graph:
Parent Function:
8. The number of bacteria in a culture over a period
of time.
Independent:
Dependent:
Independent:
Dependent:
Graph:
Graph:
Parent Function:
Parent Function:
9. Match the function (write the number of the graph on the blank) with the graph.
Write the even, odd, or neither below each picture.
_____ f ( x ) = x
a.
b.
c.
_____ f ( x ) =| x |
_____
f ( x) = x2
_____
f ( x) = x
_____
f ( x) = x3
_____
f ( x) = 3 x
_____
f ( x) = 2x
_____
f ( x) = log x
d.
e.
f.
g.
h.
i.
j.
k.
_____ f ( x ) = c or f ( x ) = 2
1

2
_____ f ( x) = 
_____
f ( x) =
1
x
_____
f ( x) =
1
x2
x
l.
Are the following functions even, odd, or neither? {Show work to justify your answer.}
10. y = x2 – 4
11. y = 3x3
12. y= |x-2|
13. y=x3 – 4
14. y = (x3 – 1)
15. y = |x| - 1