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Midterm

MATH 145 Illinois State Test2F11Exam

Department
Mathematics
Course Code
MAT 145
Professor
All
Study Guide
Midterm

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MAT 145
Test #2 Name _______________
Type of Calculator Used _______________
100 points Score _______________
1. _____ 2. ____
3. _____ 4. ____
5. _______ 6. _______
7. Name the type of discontinuity that exists in f
when x = -1. ________________
8. Name one point on the graph of f at which the function is continuous but is not
differentiable. State the value of x where this occurs and explain why it is both
continuous and not differentiable. _________
9. Arrange the following values in order from least to
greatest: .
_______________________
10. On the interval , state the x-value intervals
on which .
_______________________
11. State the first initial and last name for each of the two individuals who are credited
with creating calculus more than 300 years ago.
_________________
_________________
Use the graph of a function shown here as you respond to questions 1 to 8.
Use the graph of a function shown here as you respond to questions 9 and 10.

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If a ball is thrown into the air with a velocity of 40 ft/s, its height (in feet) after t seconds
is given by .
Use this information for questions12 through 14 below. Please carefully check the units
of measure you attach to your responses!
12. In this context, what is the meaning of h(1) = 24?
13. Explain the meaning of for this situation.
14. Suppose you were told that at some instant in time, . What does that mean in
this situation?
15. Suppose you enter the following function into your calculator: . If
you then enter the following command on your home screen, limit(y1(x),x,1), the
calculator reports that the specified limit has a value of “undef.”
(a) Circle one choice: Has the calculator reported the correct limit? YES NO
(b) Justify your response to (a) by means other than through the use of the calculator’s
limit command.