need the answer for this work sheet

AutoSave . Off) H ASN_A7 - Compatibility Mode - Word O Search ezzat mal File Home Insert Draw Design Layout References Mailings Review View Help Share Comments X Cut [A Copy Times New Rome ~ 12 ~ A" A Aa Ap AaBbCcI AaBbCcI AaBbCcD, AaBbC AaBbCc| AaBbCcD( AaBbCcD Find Paste No Spac... Heading 1 Heading 2 Heading 3 Heading 6 Heading 7 S'c Replace Select v Dictate Editor Format Painter BI U~ ab x x A LA 1 Normal Clipboard Font Paragraph Styles Editing Voice Editor Knowledge/Understanding 1) (3 marks) Given the function f (x) = - x-2 a. Determine the average rate of change on the interval -4x5-1. b. Is it possible to determine the instantaneous rate of change at x = 2? Explain why or why not. 2) (3 marks) Given the function g(x) = x -2x' +1, a. Estimate the instantaneous rate of change at x = 1. b. Will the instantaneous rate of change be the same at any x-value on the function? Explain why or why not.AutoSave . Off) H ASN_A7 - Compatibility Mode - Word O Search ezzat mal File Home Insert Draw Design Layout References Mailings Review View Help Share Comments X Cut [A Copy Times New Rome ~ 12 ~ A" A Aa Ap AaBbCcI AaBbCcI AaBbCcD, AaBbC AaBbCc| AaBbCcD AaBbCcD Paste Format Painter BIU~ ab X x A LA 1 Normal 1 No Spac... Heading 1 Heading 2 Heading 3 Heading 6 Heading 7 Find Soc Replace Select v Dictate Editor Clipboard Font Paragraph Styles Editing Voice Editor a. Determine the instantaneous rate of change at x =-1. b. Determine the average rate of change on the interval -1 x5 2 4) (5 marks) Given f(x) = 3x + 2 and g(x) = -2x+1, a. Write an equation for (f+ g)(x) b. Determine (f + g)(6) c. Determine (fg )(x) d. Determine (f -8)(x) e. Determine the domain of (f * g)(x)AutoSave . Off) H ASN_A7 - Compatibility Mode - Word O Search ezzat mal File Home Insert Draw Design Layout References Mailings Review View Help Share Comments X Cut Times New Rome ~ 12 ~ A" A Aa Ap AaBbCcI AaBbCcI AaBbCcD, AaBbC AaBbCc| AaBbCcD AaBbCcD Paste [A Copy Format Painter BIU~ ab x x A LA 1 Normal 1 No Spac... Heading 1 Heading 2 Heading 3 Heading 6 Heading 7 Find Soc Replace Select v Dictate Editor Clipboard Font Paragraph Styles Editing Voice Editor 5) (2 marks) Given f(x) = cos x and g(x) = sin x a. Determine (fog)(7) b. Determine (g og)(x)AutoSave . Off) H ASN_A7 - Compatibility Mode - Word O Search ezzat mal File Home Insert Draw Design Layout References Mailings Review View Help Share Comments X Cut [A Copy Times New Rome ~ 12 ~ A" A Aa Ap AaBbCcI AaBbCcI AaBbCcD, AaBbC AaBbCcl AaBbCcD( AaBbCcD Find Paste BIU~ ab X x A LA 1 Normal 1 No Spac... Heading 1 Heading 2 Heading 3 Heading 6 Heading 7 Soc Replace Format Painter Select Dictate Editor Clipboard Font Paragraph Styles Editing Voice Editor 6) (5 marks) Given the following functions: A f(x) =1 E f(x) = sin .x B f(x) =x3 F f(x) = cos.x C f(x) = x+ G f(x) = log x D f(x) = _ H f(x) = 2x Place an x in the box next to the appropriate function(s) with the following characteristics Function(s) Sinusoidal Function (s) with the Function (s) Odd function(s) with an Function(s) end behaviour as without any asymptote x -+ 00, f (x) -+ 00 zeros A A A A A B B B B B C C C C D D D D D E E E E E F F F F F G G G G H H H G HAutoSave . Off) H ASN_A7 - Compatibility Mode - Word O Search ezzat mal File Home Insert Draw Design Layout References Mailings Review View Help Share Comments X Cut Paste [A Copy Times New Rome ~ 12 ~ A" A Aa Ap AaBbCcI AaBbCcI AaBbCcD, AaBbC AaBbCcl AaBbCcD AaBbCcD Format Painter BIU~ ab X x A LA 1 Normal No Spac... Heading 1 Heading 2 Heading 3 Heading 6 Heading 7 Find Soc Replace Select v Dictate Editor Clipboard Font Paragraph Styles Editing Voice Editor 7) (2 marks) Given each of the pairs of functions, determine the domain of (fog)(x). a. f (x) = 2", 8(x) = = b. f (x) = logx , 8(x) = x3 +1 Application 8) (3 marks) Consider the various types of functions that can be used for mathematical models, which types of function(s) could be used to describe a situation in which the number of individuals in an endangered population (the dependent variable) becomes asymptotically close to reaching zero but never actually becomes extinct? Justify your choice of function(s). 9) (3 marks) Certain superstores will often price match or even beat a competitor's price by 10%. The function g(x) = 0.90x represents the sale price of a piece of merchandise at such a superstore. The function f(x) = 0.13x represents the HST owed on a purchase with a selling price of x dollars. a. Write a function that represents the HST owed on an item with a price tag of x dollars after it has been beaten by 10%. b . How much HST would be charged on a $39.99 purchase if this price is also lowered by 10% first