Reference: McDougal Littell: 7.3 Use Functions Involving e. Pages 492-495 See Examples 1-5
1. The Euler Number.
The Natural Base e
The Natural Base e is an irrational number. It is
Given f (n) 1 , evaluate the following:
Reference: McDougal Littell: 7.1 & 7.2 Graph Exponential Growth and Decay Functions. Pages 480-481 See Examples 4,5 Page 488 Example 4
1. A new ice cream company began in 2010 and was able to produce 1000 gallons of ice cream. In order to grow the
1. Once upon a time a brave knight returned from battle a hero. The king, to show his appreciation, offered him his gold
plated chess set. The brave knight, knowing that his fellow countrymen are starving, had a better plan. Instead of the
chess board, he
Reference: McDougal Littell: Graph and Solve Quadratic Inequalities. Pages 300-303. Examples 1-7
1. Quadratic Inequality in Two Variables.
Graph the solution set to each inequality or system of inequalities.
(a) y > x2 + 2x 8
(b) y < 2(x 1)2 3
(c) y > x2
Reference: McDougal Littell: Use the Quadratic Formula and the Discriminant. Pages 292-295. Examples 1-5
1. Using the Quadratic Formula.
Solve using the quadratic formula.
(a) y2 4y 13 = 0
The Quadratic Formula
For a quadratic equation of the form ax2 + b
Reference: McDougal Littell: Perform Operations with Complex Numbers. Pages 275-279. Examples 1-7
1. Imaginary Numbers.
Fill in the table below.
Absolute Value of a Complex Number
The absolute value
1. A Perfect Square Trinomial.
Completing the Square
Completing the square is the process of turning a
quadratic polynomial that is not a perfect square into a
trinomial that is a perfect square.
Solve x2 + 20x + 100 = 81
2. Make a Perfect Square Trinomia
Test 4.1 Review
Graph each function.
1. y = x2 4x 5
2. y = 2(x 3)2 6
3. y = -(x 4)(x + 2)
4. y = -1/2x2 + 2x + 3
State the maximum/minimum values of each function.
5. y = -5x2 + 60x + 85
6. y = 4(x 12)2 55
7. y = 2(x +10)(x 16)
8. The path that a motocros
eference: McDougal Littell: 4.10. Write Quadratic Functions and Models. Pages 309-311. Examples 1-4
1. Vertex Form.
Write the equation of the parabola with a vertex (-2, 3) and going through the point (-4, -1).
2. Intercept Form.
Write the equation of the
Lesson 20. Quadratic Functions
Reference: McDougal Littell: Graph Quadratic Functions in Standard, Vertex and Intercept Forms. Pages 236-239, 245-248
1. A Quadratic Function.
Consider the function y = x
(a) Fill in the table of values.
Lesson 21. Solve Quadratic Equations by Factoring
Reference: McDougal Littell: Solve ax2 + bx + c by Factoring. Pages 259-262. Examples 1-7
1. Factor Completely.
2. Solve by Factoring.
Solve each quadratic equation by factoring.
Solve each quadr