QUIZ REVIEW (Inverses, Exponential Functions, Geometric Sequences)
Acc. Math II
Name ______________________________
1. Find the inverse of the formula for the area of a circle. State the domain and range of
both functions.
2. Find the inverse of
Graph the function and its inverse on the same
coordinate plane along with the graph of the line over which they are reflections.
3. Prove that
and
are inverses given
and
.
4. Graph
and
on difference coordinate planes. For each describe the
type of graph and state the domain, range, asymptote, and any intercepts.
5. Describe the graphs of the following functions. State the parent graphs and describe
the transformations from the parent graph.
a)
b)
6. The attendance for a basketball team declined at a rate of 5% per game throughout a
losing season. Write the function modeling the attendance if 15 home games were
played and 23,500 people were at the first game and do a t-chart which includes games
1, 3, 5, 10, 15.
7. A sequence follows the pattern in which the next number is 123% of the previous
number. If the first number is 15, write the function. Write the expression for the tenth
term.
8. Given a geometric sequence: 3, 6, 12, . . . Write the closed form of the equation for this
function and find the 14th term.
9. Given a geometric sequence: 256, 128, 64, . . . Write the closed form of the equation for
this function and find the 12th term.
10. Find three geometric means between 2 and
11. Given
and
. Find
.
.
12. All geometric sequences have a common _____________. How do we find r if we are
given a geometric sequence. What is the recursive formula for
.