Algebra 2 Chapter 10 Worksheet 1—Exponential Functions
Algebra 2: Rational Equations and Exponential Function Quiz Review Guide
Section #1: Evaluate Rational Functions
[pic]
f(4) =
f(-2) =
f(1) =
[pic]
g(0) =
g(-1.2) =
g(-2) =
[pic]
h(-4) =
h(3) =
h(-2) =
Section #2: Elements of Rational Graph
Identify the following in a rational function graph.
Vertical Asymptotes:
Horizontal Asymptotes:
Discontinuity:
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. [pic]
B. [pic]
C. [pic]
D. [pic]
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, …
2) 72, 24, 8, …
3) 24, 30, 37.5, …
4) 192, 48, 12, …
4B. For each equation,
a. Identify the initial value (y-intercept)
b. Calculate the value of the percent of change.
|Equation |Initial Value |Percent of Change (Growth or Decay) |
|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.
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 | |
-----------------------
0
(0, 3)
(1, 1/2)
(-1, 18)
(0, 2)
(1, 6)
(2, 18)
(-1, 4)
(0, 6)
(1, 9)
................
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