Review Sheet for Midterm I
MTH 251 Enoch
For this test you may have
one page of notes (front and back) and your calculator.
For Midterm I, you are expected to
be able to do the following:
| 1)
Draw a function using
transformations (section 1.3 #9-24). 2)
Compose and “decompose”
functions
(section 1.3 #35-47). 3)
Find the formula for the
inverse of
a function [that contains either logarithms of exponents] (section 1.6
#25, 27,
28). 4)
In order to successfully
perform
the problem above, know how to solve an equation with exponents or
logarithms
(section 1.6 #49-51). 5)
Sketch the curve of a
parametric
equation (either by plotting points or with your calculator), labeling
endpoints and the direction of the curve.
Also, eliminate the parameter to find a Cartesian equation
of the curve
(that is, a regular y=f(x) function) (Section 1.7 #1-8). 6)
Find limits of a rational
function. This includes limits that
exist (section 2.3#9-13), limits involving infinity (section 2.5
#13,15), and
the limit as x approaches infinity (section 2.5 #19,21,27). 7)
Be familiar with the three
types of
discontinuity (removable, infinite, and jump found on pp. 120-121), and
the
limit definitions of continuity (p 119 and 121) (Section 2.4 #3,5,6). 8)
Use the concept of the
intermediate
value theorem (p.126) to find an interval of a specified length that
contains a
root (Section 2.4 #39,40).
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