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math_107_quiz_2.pdf

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Date: _____________________

MATH 107

Quiz 2

1) Find the distance d between the points and the midpoint M

of the line segment which connects them.

(5, 7) and (12, 14)

2) For the equation y = x2 + 6x + 5 :

a. Find the x- and y-intercept(s) of the graph, if any exist.

b. Create a table of sample points on the graph of the

equation.

c. Plot the sample points and create a rough sketch of the

graph of the equation.

d. Test for symmetry. If the equation appears to fail any of

the symmetry tests, find a point on the graph of the

equation whose reflection fails to be on the graph.

3) Determine whether or not the equation represents function.

Explain your answer. If it is a function, state the domain and

range in interval notation.

x2 + y 2 = 16

4) Determine whether or not the equation represents function.

Explain your answer. If it is a function, state the domain and

range in interval notation.

2×2 − y = 6

5) Determine whether or not the equation represents function.

Explain your answer. If it is a function, state the domain and

range in interval notation.

y = √x − 4

6) Use the given function f (x) =

following:

a. f (2)

b. f (− 1)

c. f (x2 )

d. f (4x)

3

x4

to find and simplify the

7) Use the given function f (x) = x2 + x − 30 to find f (0) and

solve f (x) = 0.

8) For n copies of the book Me and my Sasquatch, a print

on-demand company charges C(n) dollars, where C(n) is

determined by the formula:

C (n) = {10n if 1 ≤ n ≤ 20} ; {14.50n if 20 < n ≤ 45} ; {13n if n > 45}

a. Find and interpret C(25)

b. How much does it cost to order 45 copies of the book?

What about 46 copies?

9) Use the pair of functions f and g to find the following values if

they exist.

f (x) = √x + 2 and g(x) = 3x −2

a. (f + g)(2)

f

b. ( g )(0)

c. (f − g)(−1)

10) Find and simplify the difference quotient

given function f (x) = 4x − 5

f (x+h)−f (x)

h

for the

…

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