Question
[16]
1
2
Question
[7] True or False? Justify the answer (give an example or
explain why!)
•
There is a function that is linear on a certain interval and is a
power function of the form
x

2
over a different interval.
•
There a function that is linear and a power function over the
same interval.
Question
[8] For each case, give two examples of a function that agrees
with the description.
•
f
is a function with the largest possible domain. 0 is not in the
domain of
f
. The graph of
f
is symmetric with respect to the
y
axis.
•
f
is a power function. For every number
a
in the domain of
f
,
f
(
a
) =
f
(

a
).
•
f
is a power function. For every number
a
in the domain of
f
,
f
(
a
) =

f
(

a
).
•
f
is a function with
∞
many numbers in its domain and finitely
many numbers in its range.
•
f
is a function with exactly two numbers in its range.
Question
[9]
Which (if any) of these functions could be linear? For these functions,
fill in any missing values and find formulas.
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 Fall '19
 Chunky Munky