Your pages are out of order, I will not grade future assignments with pages out of order. Missing instructions for each problem; intercepts need to be stated as ordered pairs.
You also did not write the problem along with the instructions. The problem and instructions need to be stated, more points taken off if problem and instructions are not stated next time
Also, please leave space between problems for my comments.
Microsoft Word - written assignments_MAT-231-GS-mar21 Copyright © 2021 by Thomas Edison State University. All rights reserved. Back to Top Module 2—Written Assignment 1 For #1 and #2 - Find the domain, range, and all zeros/intercepts, if any, of the function. 1. 2. 3. For the functions Find: a. f + g - Determine the domain of the new function b. f − g - Determine the domain of the new function c. f ꞏ g - Determine the domain of the new function d. f /g - Determine the domain of the new function 4. A certain bacterium grows in culture in a circular region. The radius of the circle, measured in centimeters, is given by where t is time measured in hours since a circle of a 1-cm radius of the bacterium was put into the culture. a. Express the area of the bacteria as a function of time. b. Find the exact and approximate area of the bacterial culture in 3 hours. c. Express the circumference of the bacteria as a function of time. d. Find the exact and approximate circumference of the bacteria in 3 hours. 5. Write the equation of the line satisfying the given conditions in slope-intercept form. 6. Write the equation of the line satisfying the given conditions in slope-intercept form. Copyright © 2021 by Thomas Edison State University. All rights reserved. Back to Top 7. A house purchased for $250,000 is expected to be worth twice its purchase price in 18 years. a. Find a linear function that models the price P of the house versus the number of years t since the original purchase. b. Interpret the slope of the graph of P. c. Find the price of the house 15 years from when it was originally purchased. 8. Consider triangle ABC, a right triangle with a right angle at C. a. Find the missing side of the triangle. b. Find the six trigonometric function values for the angle at A. Where necessary, round to one decimal place. 9. P is a point on the unit circle. a. Find the (exact) missing coordinate value of each point b. Find the values of the six trigonometric functions for the angle θ with a terminal side that passes through point P. Rationalize denominators. 10. Solve the trigonometric equations on the interval 0 ≤ θ < 2π. 11. find a. the amplitude, b. the period, and c. the phase shift with direction for each function. 12. a. find the inverse function, and b. find the domain and range of the inverse function. 13. evaluate the function. give the exact value. copyright © 2021 by thomas edison state university. all rights reserved. back to top 14. the depth (in feet) of water at a dock changes with the rise and fall of tides. it is modeled by the function where t is the number of hours after midnight. determine the first time after midnight when the depth is 11.75 ft. 15. write the equation in equivalent exponential form. 16. write the equation in equivalent logarithmic form. for #17 and #18 - use properties of logarithms to write the expressions as a sum, difference, and/or product of logarithms. 17. 18. for # 19 and # 20 - use the change-of-base formula and either base 10 or base e to evaluate the given expressions. answer in exact form and in approximate form, rounding to four decimal places. 19. 20. 2π.="" 11.="" find="" a.="" the="" amplitude,="" b.="" the="" period,="" and="" c.="" the="" phase="" shift="" with="" direction="" for="" each="" function.="" 12.="" a.="" find="" the="" inverse="" function,="" and="" b.="" find="" the="" domain="" and="" range="" of="" the="" inverse="" function.="" 13.="" evaluate="" the="" function.="" give="" the="" exact="" value.="" copyright="" ©="" 2021="" by="" thomas="" edison="" state="" university.="" all="" rights="" reserved.="" back="" to="" top="" 14.="" the="" depth="" (in="" feet)="" of="" water="" at="" a="" dock="" changes="" with="" the="" rise="" and="" fall="" of="" tides.="" it="" is="" modeled="" by="" the="" function="" where="" t="" is="" the="" number="" of="" hours="" after="" midnight.="" determine="" the="" first="" time="" after="" midnight="" when="" the="" depth="" is="" 11.75="" ft.="" 15.="" write="" the="" equation="" in="" equivalent="" exponential="" form.="" 16.="" write="" the="" equation="" in="" equivalent="" logarithmic="" form.="" for="" #17="" and="" #18="" -="" use="" properties="" of="" logarithms="" to="" write="" the="" expressions="" as="" a="" sum,="" difference,="" and/or="" product="" of="" logarithms.="" 17.="" 18.="" for="" #="" 19="" and="" #="" 20="" -="" use="" the="" change-of-base="" formula="" and="" either="" base="" 10="" or="" base="" e="" to="" evaluate="" the="" given="" expressions.="" answer="" in="" exact="" form="" and="" in="" approximate="" form,="" rounding="" to="" four="" decimal="" places.="" 19.="">