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Global Instructions: (10 points) Solve each of the following problems without error. Show all details. Box in your answers. Use good notation, you will be marked off for bad notation.

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Calculus I

D. P. Story, Spring 2015

Quiz 2–003 Name:

SID:

Global Instructions: (10 points) Solve each of the following problems without error. Show all details. Box in your answers. Use good notation, you will be marked off for bad notation.

( 3

pts

) 1. Identify all numbers x at which the function f (x) = x + 2

√ x − 1 is continuous.

( 3

pts

) 2. Given f (x) =



3x

2

− 2x x < −1

6x

2

+ x x ≥ −1 . Is this function (a) continuous at x = −1;, (b) discontinuous with a removable discontinuity at x = −1; or (c) discontinuous with a jump discontinuity at x = −1? Justify your response.

( 4

pts

) 3. Define the function f (x) = 3x

2

− 2x. Use one of the formulas:

m = lim

x→a

f (x) − f(a)

x − a or m = lim

h→0

f (a + h) − f(a) h

Then the slope of the line tangent to the graph of f at the point (1, 1).

Calculations Side Calculations

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