CHAPTER 1-5 CREDIT INTERVENTION ASSIGNMENT

Transcription

1 MHFU NAME: DATE: CHAPTER - CREDIT INTERVENTION ASSIGNMENT Circle the best option and write our choice in the space provided Show our work clearl and in the correct order on separate sheets Which one of the following relations is not a function? What is the range of the following function? x a {x R} c { R} b { R 0} d {x R x and x } What is the range of the function? a {x R x 0} c { R } b { R 0} d {x R x 0} Which function has all three of the following characteristics? ) The function is even ) The domain of the function is {x R} ) The function has -intercept The point (, ) is on the graph Find the corresponding coordinates of this point on the graph of a (, ) c (, 7) b (, ) d (, ) 6 If, find a 7 c 6 97 b d

2 7 Which of the following is a characteristic of the function? a R = { R 0} b has two zeros c is not continuous d is decreasing on the interval 8 Which graph has all four of the following characteristics? ) The graph is smmetric with respect to the -axis ) The graph has a vertical asmptote at ) The graph has a horizontal asmptote at ) The graph is decreasing on the interval 9 The point (6, 6) is on the graph Find the corresponding coordinates of this point on the graph a ( 9, 7) c (, ) b (7, 9) d (9, 7)

3 0 Determine the inverse of the function The graph of is shown below Which of the following graphs represents? x The point (6, 6) is on the graph Find the corresponding coordinates of this point on the graph a ( 9, 7) c (, ) b (7, 9) d (9, 7) Determine the inverse of the function Determine the inverse for the function

4 Determine the inverse for the function If and, find k a 0007 c b d 6 If, find a 88 c 6 b d State the domain of the following piecewise function x a D = {x R -8 x < 0} c D = {x R -8 x 0} b D = x R -8 < x 0} d D = {x R -8 < x < 0} 6 A stone falls from the edge of a cliff into the sea below The height of the stone after t seconds is described b the function, where h(t) is measured in metres What is the average rate of change in the height of the stone from t = s to t = s? a m/s c 96 m/s b m/s d m/s 7 Determine the value of a so that the average rate of change of the function over the interval is 8 b 0 d 8 Which function has a negative average rate of change on the interval?

5 9 Which points would ou use to determine the average rate of change of the function on the interval? a (, ) and (, 0) c (, ) and (, 8) b (, ) and (, 8) d (, ) and (, ) 0 The students in a phsics class are performing an experiment to determine the acceleration due to gravit The drop water balloons from the top of a building and estimate the time at which the balloons hit the ground After analzing all of their data, the produce the model to model the height of a balloon in metres t seconds after it has been dropped What is the best estimate for the instantaneous rate of change in the height of a balloon s after it has been dropped? a 0 m/s c m/s b 0 m/s d m/s For which value of x is the instantaneous rate of change of closest to 0? a x = c x = b x = 0 d x = For which value of x is the instantaneous rate of change in negative? a x = c x = 0 b x = d x = Let For which value of x is the instantaneous rate of change greatest in magnitude? a c 0 b d 6 During which interval of time is the speed the greatest? 0 d (m) t (s) For what value of x does the maximum or minimum of occur? Is the point a maximum or a minimum? a ; maximum c ; minimum b 6; maximum d ; minimum

6 6 If the leading coefficient of an odd-degree polnomial function is positive, then the function extends from the third quadrant to the first quadrant; that is, as a, and as, b, and as, c, and as, d, and as, 7 What is the degree and lead coefficient of? a degree with a lead coefficient of c degree with a lead coefficient of 6 b degree with a lead coefficient of d degree 6 with a lead coefficient of 8 Which polnomial function would have the end behaviour of as,? a c b d 9 If an of the linear factors of a polnomial function are cubed, then which of the following is not true of the corresponding x-intercepts? a The x-intercepts are turning points of the curve b The x-axis is tangent to the curve at these points c The graph passes through the x-axis at these points d The graph has a cubic shape near these x-intercepts 0 If an of the factors of a polnomial function are linear, then which of the following is not true? a The graph has a linear shape near this x-intercept b The x-intercept is a point where the curve passes through the x-axis c The zeros of the function are locations on the graph where = 0 d The x-axis is tangent to the curve at these points What is the equation of the graph shown below? 9 6 x 6 9

7 What is the equation of the graph shown below? x 8 0 Which graph is a possible sketch of the function? Which equation is a quartic function with zeros at,,,? a c b d

8 Which of the following statements about the function is not true? a The value of a represents a vertical stretch/compression b The value of d represents a horizontal translation c The value of k represents the maximum or minimum of the function d The value of c represents a vertical translation 6 Describe the transformations that were applied to to create a b c d horizontall stretched b a factor of horizontall stretched b a factor of horizontall stretched b a factor of horizontall stretched b a factor of, horizontall translated units to the right, horizontall translated units to the right, horizontall translated units to the left, horizontall translated units to the left 7 Determine the x-intercept(s) of the function a 9, 9 c, b, d, 8 Which of the following statements is not true regarding snthetic division? a One must be used as the coefficient of an missing powers of the variable in both the divisor and the dividend b A polnomial can onl be divided b a polnomial of the same degree or less c Snthetic division can onl be used when the divisor is linear d If the remainder of the snthetic division is zero, both the divisor and the quotient are factors of the dividend 9 What is the dividend if the divisor is, the quotient is, and the remainder is? a remainder c b 0 If a polnomial function,, has a degree greater than, which of the following statements is true? a The polnomial cannot be factored b Long division must be used to find the first factor c It ma be necessar to use the factor theorem more than once d Polnomials cannot have a degree greater than Which one of the following functions is divisible b x? Which one of the following functions is divisible b x +? d The polnomial has factors x + 8 and x + Determine the value of k a 8 c 6 b 6 d 8

9 Which expression is the sum of two cubes? Write the expression in factored form 6 Write the expression in factored form a c b d 7 Determine the zeros of the function a,, c 0,, b 0,, d 6,, 8 Which is the best list of possible zeros of the function? a ±, ±, ± c,,, 6 b 0, ±, ±, ± d ±, ±, ±, ±6 9 Determine the completel factored form of 60 Choose the phrase the best completes the following sentence To solve an inequalit, ou reverse the sign when: a multipling b c multipling or dividing b b dividing b d multipling or dividing b 0 6 Express the solution to in set notation {x R {x R 6 Determine when the function is greater than 7 6 Given and, determine when a, c 6 What is the domain of the reciprocal function of x +? a {x R x } c {x R x } b {x R x } d {x R}

10 6 Tler and Km are competing in a model airplane competition The positions of the planes are determined in relation to the top of a 0-metre pole: planes to the left and below the top of the pole are given negative x- and -values and planes to the right and above the top of the pole are given positive x- and -values The path of Tler s plane is modelled b The path of Km s plane is modelled b Determine when b,, d, 66 Give the intervals ou would check to find when a c,,,, 67 Graph the solution to on a number line What is the domain of the reciprocal function of x +? a {x R x } c {x R x } b {x R x } d {x R} 69 What is the range of the reciprocal function of 0 x? a c { R } b ( R 0 } d { R < 0 } R < 0 or } 70 Identif the increasing and decreasing intervals for a Decr (, ), Incr (, ) c Incr (, ), Incr (, ) b Decr (, ), Decr (, ) d Incr (, ), Decr (, ) 7 Determine the intervals in which the reciprocal function of x + is increasing a (0, ) c (, ) b (, 0) d (, )

11 7 The graph represents the reciprocal function of What is the equation of? x a b x + x c d x + x 7 Identif the function represented b this graph x a x + c b x d 7 Identif an holes in the graph of a b x x c x 7 d x 7 7 What is the horizontal asmptote of? a b c d

12 76 State the equation of the rational function that meets these conditions: Vertical asmptote at x Horizontal asmptote at Increases on each interval of its domain x-intercept is (, 0) a c b d 77 State the equation of if D {x R x } and the -intercept is (0, ) a c b d 78 State the equation of if the vertical asmptote is x, the horizontal asmptote is, the x- intercept is (0, 0) and the -intercept is (0, 0) a c b d 79 How man solutions does the equation have? a 0 c b d 80 What value(s) of x makes true? a b 0, 0, c d 8 Solve for x a x =, c x = b x = d x = 0 8 The inequalit x is equivalent to which of the following? 8 Which inequalit is equivalent to?

13 8 Which inequalit is equivalent to? 8 Find all values that make the inequalit true b x >6 d 86 Which of the following are intervals to be considered when finding solutions to? b, d, 87 Which of the following is a part of the solution set of?