Regents Exam Questions CC.F.IF.9: Comparing Functions
Page 1
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Name: __________________________________
CC.F.IF.9: Compare properties of two functions each represented in a different way
(algebraically, graphically, numerically in tables, or by verbal descriptions). For
example, given a graph of one quadratic function and an algebraic expression for
another, say which has the larger maximum.
1 Which quadratic function has the largest
maximum?
1)
2)
2 The graph representing a function is shown
below.
3)
4)
Which function has a minimum that is less than
the one shown in the graph?
1)
2)
3)
4)
Regents Exam Questions CC.F.IF.9: Comparing Functions
Page 2
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Name: __________________________________
3 Given the following quadratic functions:
4 Let f be the function represented by the graph
below.
and
Which statement about these functions is true?
1) Over the interval
, the average
rate of change for
is less than that for
.
2) The y-intercept of
is greater than the yintercept for
.
3) The function
has a greater maximum
value than
.
4) The sum of the roots of
is greater
than the sum of the roots of
.
Let g be a function such that
. Determine which function
has the larger maximum value. Justify your
answer.
Regents Exam Questions CC.F.IF.9: Comparing Functions
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1 ANS: 3
Maximum of
REF: 061514ai
2 ANS: 3
3 ANS: 4
1)
Maximum of
REF: 011622ai
2)
3)
4)
REF: 081521ai
4 ANS:
g. The maximum of f is 6. For g, the maximum is 11.
REF: 081429ai