The "int()" operator in your calculator is the "greatest integer function." It returns the greatest integer less than equal to the operand and is written using square brackets: [x] or [[x]]. For example, it would give back 82 for [[82.976]].

In Smalltown, AZ the student receive grade points as follows:

4.0 for any grade 90% or higher. [90,100)

3.0 for any grade 80% or higher. [80,90)

2.0 for any grade 70% or higher. [70,80)

1.0 for any grade 60% or higher. [60,70)

(Notice: students NEVER fail! And students never get 100%)

A. Write the function that correctly returns grade points for grades from 60% to 100%. (78.45 should give a 2.0). Is your function even, odd, or neither

B. State the domain and range

1. The domain of f(x) is [0, ) and

x 1 2 3 4

f(x) 1/2 1/5 1/10 1/17

A. Find an equation for f(x) that satisfies the domain requirements and the data table. Demonstrate that your function satisfies the data points in the table. Is your function even, odd, or neither?

B. What is the range of your function?