Download Algebra 2 Chapter 10 Worksheet 1—Exponential Functions

Algebra 2: Rational Equations and Exponential Function Quiz Review Guide
Section #1: Evaluate Rational Functions
2x  8
f ( x) 
3 x 2  12 x
x 2  3 x  10
g( x ) 
x2  4
3 x 2  14 x  8
h( x ) 
2 x 2  x  15
f(4) =
g(0) =
h(-4) =
f(-2) =
g(-1.2) =
h(3) =
f(1) =
g(-2) =
h(-2) =
Section #2: Elements of Rational Graph
Identify the following in a rational function graph.
Vertical Asymptotes:
Horizontal Asymptotes:
Discontinuity:
0
Section #3: Solve Rational Equation
 Method #1: Use Calculator Y1 = Left Side and Y2 = Right Side and find Intersection
 Method #2: Solve Algebraically using LCM (common denominator)
A.
1
1
7

 2
2
2x 6x
6x
C.
b4
1
 1
5b
5b
B.
1
7
1 
x8
x8
D.
x6
3
x4


4x2 2x2 2x2
Section #4: Exponential Functions
4A. For each pattern,
a. Determine whether the multiplication pattern.
b. Find the next two numbers.
c. Write the exponential equation: y = a(b)x for the sequence.
1) 7, 14, 28, 56, …
3) 24, 30, 37.5, …
2) 72, 24, 8, …
4) 192, 48, 12, …
4B. For each equation,
a. Identify the initial value (y-intercept)
b. Calculate the value of the percent of change.
Percent of Change (Growth or Decay)
Equation
Initial Value
y = 56 (1.12)x
y = 1.53•0.76x
y = 1.083x (1.095)
4C. Write an exponential equation y = a(b)x that represents the graph.
(2, 18)
(-1, 18)
(1, 9)
(0, 3)
(1, 1/2)
(0, 2)
(1, 6)
(-1, 4)
(0, 6)
4D. For each exponential function.
Complete the table of points.
What is the y-intercept?
What is the horizontal asymptote of the graph?
y = (2)x + 3
x
y
-2
0
2
4
y = 2(3)x – 5
x
y
-1
0
1
2
y = 6(1/2)x – 7
x
y
-3
-1
1
3