Honors Algebra Sem. 1 Review

What are the end behaviors?
f(x) = 2x³ + 2x² -3 

• x -> ∞, f(x) -> -∞,  x -> -∞, f(x) -> ∞
• x -> ∞, f(x) -> -∞,  x -> -∞, f(x) -> -∞
• x -> ∞, f(x) -> ∞,  x -> -∞, f(x) -> -∞
• x -> ∞, f(x) -> ∞,  x -> -∞, f(x) -> ∞

A deck is 30 feet long by 20 feet wide. The homeowner wants to double the area of the deck by adding the same distance x to the length and the width. Find the measurement x that would double the area. 

• x = -60 and 15
• x = -60
• x = 10
• x = 15

Describe the relationship between the real solutions of ax² + bx + c = 0 and the graph of y = ax² + bx + c. 

• The real solutions are fake.  
• The real solutions are a part of the graph. 
• The real solutions are the x-intercepts (zeors) of the graph. 
• I have no idea!!!! 

What are the possible solutions for the given function? 
f(x) = x³ + 4x² - 7x -10

• ±1/1, ±2/1, ±3/1, ±5/1, ±10/1
• ±1/1, ±2/1, ±5/1, ±10/1
• ±2/1, ±5/1
• ±1/1, ±2/1, ±3/1, ±5/1, ±10/1, ±10/2

Describe the transformation of the graphs.
y = (x - 3)² +4  changed to y = (x -2)² - 2

• right: 1,  up: 6
• left: 1, up: 6
• right: 5, down: 6
• left: 1, down 6

Find the minimum or maximum value of the following:
y = 2x² + 8x +7

• min: -2
• min: -1
• max: -2
• max: -1

Solve:
x² = -11

• √11
• ±i√11
• ±11i
• 11i

2x² + 9 = 41

• x = ±4
• x = 4
• x = 5
• x = ±5

Evaluate using either direct substitution or synthetic division. 
f(-1) for f(x) = -x³ + 5x² - 3x - 7

• 2
• -2
• 5
• -5

Evaluate by either direct substitution or synthetic division. 
f(7) for f(x) = x⁵ - 4x³ + 3x² + 11x -8

• 15651
• -1
• 6
• -9