MATH 1050-003: Fake Quiz for 2.6, 3.1, 3.2
There are problems on both sides of each sheet.
March 04, 2008
Name:
u I.D.:
This is a closed book and closed note quiz. No calculators are allowed. Please
write neatly in pencil and circle your final solution.
1
1. For the function below,
a) Simplify the function and state the domain.
b) Identify all intercepts.
c) Find any vertical and horizontal asymptotes.
d) Plot additional points as needed to sketch the graph of the rational function.
f (x) =
2x2 − 5x − 3
x3 − 2x2 − x + 2
2
2. Use the graph of f to describe the transformation that yields the graph of g.
f (x) =
7 x
2
, and g(x) = −
7 −x+6
2
3. Use the One-to-One Property to solve the equation for x.
1
a) 2x−2 = 32
2
b) ex −3 = e2x
3
4. a) Write the exponential equation in logarithmic form.
93/2 = 27
b) Write the logarithm in exponential form.
log16 (8) =
3
4
5. Use the One-to-One Property to solve the equation for x.
ln(x2 − x) = ln(6)
4
6. Find the domain, x-intercept, and vertical asymptote of the logarithmic function and
sketch its graph.
f (x) = log5 (x − 1) + 4
5