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math_107_quiz_2.pdf

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Name: ____________________
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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