Functions Questions and Answers

Question 20 of 25 A power company calculates a person s monthly bill from the number of kilowatt hours kWh x used The function b x the bill OA 120 OB 110 OC 100 0 15x 0 10 2 400 60 D 80 x 400 x 400 How much is the bill for a person who uses 800 kWh in a month determines h

3 The population of a town increased from 3500 in 2010 to 4100 in 2017 Let x 0 for year 2010 a 6 pts Build a model exponential function of the form P t Pekt for the population of this town Clearly show your algebraic work b 4 pts Use your answer from part a to predict the year when the town s population will reach 7000 Clearly show your algebraic work

A real estate company balances the books for its business on the first day of each month It hopes to sell houses every other day of the month The average number of houses S the company sells each day t is represented by the inverse of the function S 1 41 5 12 71 6 Which equation represents the average sales each day for the real estate company 61 5 7 1 OS OS OS 61 5 1 5 1 6 1 5 1 6

This table represents values of a cubic polynomial function X y 2 12 1 0 0 1 7 5 2 6 3 3 6 Based on the information in the table which sentence best describes the interval 2 1 The function is decreasing on the interval 2 1 The function is constant on the interval 2 1 The function is increasing on the interval 2 1 The function is both increasing and decreasing on the interval 2 1 O A O B O C OD

An interior designer wants to decorate a newly constructed house The function f x 36x2 150 represents the amount of money he earns per room decorated where x represents the number of rooms he designs The function g x x represents the number of rooms the interior designer decorates where x is the number of hours he works Part A Determine the amount of money the interior designer will make decorating the house as a function of hours he works 5 points Part B If the newly constructed house requires 45 hours of work how much will the interior designer earn Show all necessary calculations 5 points Part C Determine an expression to represent the difference quotient for the function found in Part A Show all necessary work 5 points

An interior designer wants to decorate a newly constructed house The function f x 36x2 150 represents the amount of money he earns per room decorated where x represents the number of rooms he designs The function g x x represents the number of rooms the interior designer decorates where x is the number of hours he works Part A Determine the amount of money the interior designer will make decorating the house as a function of hours he works 5 points Part B If the newly constructed house requires 45 hours of work how much will the interior designer earn Show all necessary calculations 5 points Part C Determine an expression to represent the difference quotient for the function found in Part A Show all necessary work 5 points

The function V t 3500t 19000 where V is value and t is time in years can be used to find the valu a large copy machine during the first 5 years of use a What is the value of the copier after 2 years and 6 months After 2 years and 6 months the copier is worth b What is the salvage value of the copier if it is replaced after 5 years After 5 years the salvage value of the copier is c State the domain of this function d Sketch the graph of this function t

What is the range of this function 2 FIT 3 Y 2 10 T it OA 0 00 O B 0 1 OC all real numbers where na 211 X

Which statements are true about function g 0 5 13 9x2 27x25 x 2 g x 1 I 2 O Function g is continuous Function g includes an exponential piece and a quadratic piece As x approaches positive infinity g x approaches positive infini As x approaches negative infinity g x approaches positive infir Function g is increasing over the entire domain

When a patient with hypertension takes a particular type of blood pressure medication the effects on the systolic pressure S t can be measured by the following piecewise 0 t 4 140 6t if 116 if 4 t 8 where t is the time in hours since taking the medication Based on the graph of the piecewise function if the patient 96 8t if 8 t 12 defined function S t takes the blood pressure medication at 8 a m in which interval will their systolic pressure be lowest 10 a m to 12 p m 12 p m to 2 p m 04 p m to 6 p m 08 p m to 10 p m

A piecewise function f x is defined by f x 3x 1 4 x 3x 4 x 7x 12 for x 3 for x 3 Part A Graph the piecewise function f x and determine the range 5 points Part B Determine the asymptotes of f x Show all necessary calculations 5 points Part C Describe the end behavior of f x 5 points

The function P m 2m represents the number of points in a basketball game P as a function of the number of shots made m Given that the number of shots made is 40 find the number of points label required

The graph of a polynomial is shown below Which of the following identifies the ordered pair coordinates of the extreme value 10 10 10 A 2 2 B 1 2 C 2 2 D 2 2 10

Let D be the domain and let f be the possible function Determine if the relation is an example of a function D xl x is a person s social security number f x the person s name Yes One output results in one input Yes One input results in one output No At least one input results in two outputs No At least one output results in two inputs

Use the drawing tools to form the correct answer on the graph Plot function h on the graph 6 9 1 4 3 2 A z 1 4 3 8 Drawing Tools Select Point Open Point Line Segment Click on a tool to begin drawing Reset 10 8 6 4 12 10 COL Ah x 21 4 Undo 8

15 The temperature inside of a storage building in degrees Fahrenheit can be modeled using the equation 4 pts A F t 8 3 cos 57 t 63 7 where t is the number of hours since midnight t 0 a At what temperature is the building at midnight Justify how you arrived at your answer Find min 8 3 cos 0 63 7 1 1 tegn 6 7 2 b How many hours after midnight does it take for the temperature to first reach its maximum value Justify how you arrived at you answer Need P 1 7 X 8 3 8 3 55 4 72 55 4 2 72