Department

MathematicsCourse Code

MAT 145Professor

AllStudy Guide

MidtermThis

**preview**shows page 1. to view the full**5 pages of the document.**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.

###### You're Reading a Preview

Unlock to view full version

Only page 1 are available for preview. Some parts have been intentionally blurred.

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.

###### You're Reading a Preview

Unlock to view full version