A brief honor statement is given below. Please sign it before you submit the Quiz. If you fail to sign the statement, your quiz will not be accepted. You may take as much time as you wish, provided you turn in your quiz as a single pdf document via LEO by 11:59 pm EDT on Sunday, October 20. Always check that the right document is uploaded properly.

Dr. K. Thengumthara QUIZ 1 Name:

MATH107 Fall 2019

INSTRUCTIONS:

· This quiz covers week 3 material and is worth 100 points.

· You must show all necessary work neatly to receive credit.

· The quiz is open book and open notes. This means that you may refer to your textbook, notes, and online course materials, but you must work independently and may not consult anyone.

· A brief honor statement is given below. Please sign it before you submit the Quiz. If you fail to sign the statement, your quiz will not be accepted. You may take as much time as you wish, provided you turn in your quiz as a single pdf document via LEO by 11:59 pm EDT on Sunday, October 20. Always check that the right document is uploaded properly.

Honor statement:

I have completed this assignment myself, working independently and not consulting anyone.

Signature: _____________________

1. Determine analytically whether the function is odd, even or none (SHOW WORK)

(i)

(ii)

2. Graph the function. State the domain, identify the intercepts and test for symmetry

3. The graph of f(x) is given. Find the following.

(i) Domain:

(ii) Range:

(iii) Solve f(x) = 2

(iv) Find f(-3)

(v) Intervals where f(x) is decreasing:

4. The graph of g(x) is given. Find the following.

(i) x intercepts, if any

(ii) y intercepts, if any

(iii) Does it appear even odd or neither?

(iv)Local minima, if it exists

(v) Zeros

5. Graph of y = f(x) is given. Graph the transformed function y = f(x— 1) in the same grid.

6. Write the equation of the transformed function

(i) , Reflect across the x axis and up 2 unit

(ii) , Shift left one unit and down 2 units

7. Find the equation of the line passing through ( 2, -3) and 1, 5)

8. A college bookstore generates revenue through the “Books –On-Demand” program. Royalties and copyright fees cost the bookstore $4.00 for each book sold and the monthly cost of operating and running the service amounts to $900.00 per month.

(i) Write the linear cost function C(x) for the book store which represents the monthly cost of selling x books.

(ii) Find C(0) and interpret the meaning.

9. Find the equation of the line parallel to y= -2x + 5 and passing through ( 1, -5)

10. Energy Production. The table below lists U.S. fossil fuel production as a percentage of total

energy production for selected years.

(i) Find the least squares regression line for these data. ( use technology such as calculator, desmos etc.)

(ii) Interpret the slope of the line of best fit.

(iii) Use the regression model to predict the US fossil fuel production in 2020.