All About AIR_2

The graph of a quadratic function f(x) has a minimum at (-2,-3) and passes through the point (2, 13).  The function g(x) is represented by the equation g(x)= -(x+2)(x-3).  How much greater is the y-intercept of g(x) than f(x)? [you do get a graphing calculator on this problem].

• 5
• 1
• 6

What do the properties of equality tell us?

• When you add someting to one side, you must add it to the other side. 
• Two terms in an equation can be grouped in different ways.
• Two terms in an equation can be rearranged. 
• Whatever you do to one side of an equation, you must do to the other side.

What does the associative property tell us?

• When you add someting to one side, you must add it to the other side. 
• Two terms in an equation can be grouped in different ways.
• Two terms in an equation can be rearranged. 
• Whatever you do to one side of an equation, you must do to the other side.

What does the commutative property tell us?

• When you add someting to one side, you must add it to the other side. 
• Two terms in an equation can be grouped in different ways.
• Two terms in an equation can be rearranged. 
• Whatever you do to one side of an equation, you must do to the other side.

The model f(x) = -x²-26x+824 represents a bridge over the Ohio River.  What is the highest point on that bridge? 

• 17
• -13
• 993
• 824

The function f(x)=2⋅4^x represents a companies growth over the past decade.  Where x represents number of years since the company started.  What is the correct value and interpretation of f(10) ?

• f(10) = 2,097,152, so after a decade the company made $2,097,152.
• f(10) = 2,097,152, so after a decade the company made $10,000,000
• f(10) = 120,000, so after a decade the company made $120,000.
• f(10) = 120,000, so after a decade the company made $10,000

The volume of a rectangular pyramid is V=(1/3)B⋅h.  What equation is correctly solved for the height, h?

• V(1/3)B =h
• 3VB =h
• 3B/V =h
• 3V/B=h

An expression is given: x⁸-121.  Write the expression as the product of two binomials.

• (x-11)(x+11)
• (x²-11)(x²+11)
• (x⁴-11)(x⁴+11)
• (x²+11)(x⁴+11)

A linear function is shown:
f(x) = (-1/4)x-5
Create a linear function g(x) such that f(x) = g(x) has exactly one solution.

• g(x) = (-1/4)x-5
• g(x) = 4x-5
• g(x) = (-1/4)x-6
• g(x) = (-1/4)x+7

At which interval is the following function negative and decreasing?
f(x) = -x²+2x+8

• 1<x<9
• -2<x<4
• x<4
• x>4