Any problems that have points subtracted (even if it's just one point subtracted) need to be completely redone. Please ask what questions if needed. Show all the work please. In addition, please write one sentence on what my mistake was per problem that is wrong. Please solve all of this on paper if possible. This is all the information needed for the questions. Attached are clear pictures

- 56+1 = - 55 AP Pre-Calculus Name: Rehan Choudhary Unit 2 Exam: Part I: Calculator inactive 45%% period y 11-1-2027 Directions: Show all work, clearly indicating what the answer is. When you complete this section, turn it in and receive part 2. All questions are worth 2 points unless otherwise specified. 1. Consider the linear function graphed below. 0, S 1 74 0 910 What is the equation of the line (4pts)? yzX - 4 b. Is the function increasing or decreasing? The function is decreasing Are the rates of change increasing, decreasing, or neither? Bike of Change "decleasing d. What are the domain and range? Domain : 0 1 -00 Range: 8-4 ( - 2 , 0 ) er What is the equation of the line perpendicular to this one at the point (4, 0)? - 2 f(x ) = 4 - 4 2. What is the slope of the line passing through the points: (a + 2, 5), (6, b-3)? (4 pts) slope = M( x ) + 6 01 7 3 The slope of a line passing through those points are3. Consider the quadratic function below xly -1/2 5 -4 -3 (2345 * * -2/ a. What is the equation of the quadratic function (in vertex form or in general form)? (6 pts) 41 - 4 2 4-41 5 b. What is the domain? Domain : -00, 00 What is the range? Range 1 27 - 2 7 -2 - 314 Does the function have an absolute maximum or minimum value and, if so, what is it? Absolute maximumn is - 1/2 e. Does the function have real solutions and, if so, what are they approximately? No real solutions f. Over what interval is the function increasing? (- 1/2 ) Over what interval is the function decreasing? ( -21 - 1 ) . Are the rates of change increasing or decreasing or neither? The rates of change are the decreasing . If net "neither," over what interval are the rates of change either increasing or decreasing? Interval of 22- 24+27 3 - 24=-1 4. Find the point of intersection of the pair of lines by solving the system of linear equations. If there is 2- 24 21 no point of intersection, indicate no solution. (6 pts) x - 2y+2-3 -7 0-14+2-3, 1/ /2 -/LY =/ x-y=3 0 01 - 0-423 11 - 2 2 / 4 =- 3 Point of intersection 15 2 1 - 1 5. Consider the following table of values x 2 5 8 11 14 17 20 y -3 3 9 15 21 27 33 a. What type of function is this and how do you know? (4 pts) This is a linear since the y value goes 49 by 6 For every single point making a straight line. b. What is the average rate of change over the interval (5, 17)? Average rate of Change. 15 6 over the interval (5 / 17 ) c. Are the rates of change increasing, decreasing, or staying the same? The rates or change are staying the Same. d. What is the equation of the function? (4 pts) equation of the function FC ) I-8 +66. Consider the following table of values x -2 -1 01 2 3 4 y 21 11 5 3 5 11 21 -10-6-2 J VVV e. What type of function is this and how do you know? (4 pts) This is a quadratic function, I know this bear of the way the slash looks. I also know this since ope can see that the yvalue fluctuates by up 7 and +4, f. What is the average rate of change over the interval (-1, 2)? The average rate of change over that interval is b E. Are the rates of change increasing, decreasing, or staying the same? The rate of Change They ape staying the sap is increasing . Extra Credit: What is the equation of the function? (3 pts) equation of the function is X difference between x f ( x ) = 4 - 4 values is + 1 difference between y values are Unique but those numbers are all - 4 / +465 - 20-30 3. The sum of three consecutive even numbers is 34 more than the smallest of them. What are the 3 (2 P 10- 16 numbers? (6 pts) consequl sy to 26 32 Three numberscal 1 (6/19 - X1 (6- 20 - 24 the three numbers 60 6 + 8 + 20 are 12 1 16 / 180 342 -2 4. A parabolic shaped bowl is 15 feet deep and has a 60 feet diameter at its edge. Determine the 68 parabola's a value. (6 pts) 15160 = ( 4 ) 34 +17 34 9 = 900 feet 57 5. Tickets to a school dance cost $4 and the projected attendance is 300 people. For every $0.10 increase in ticket price, the dance committee projects that attendance will decrease by 5. (8 pts) a) Determine the dance committee's greatest possible revenue. b) What ticket price will produce the greatest revenue? 4 . 300 712 00 4.10 ,295 28 1209. 5 Gainit of ofzal 4.2 - $ 1218 The speatest possible revenue 61 2 25. 5 will be $ 12 50, 5 , 250 = $12 50 The ticket price that will produce the greatest revenue is $5.I have solved all questions: this is only what you done wrong, have 1 (a ) : use two point from of line C since slope is constant, it's rate of change will be zero. not decreasing a as I can take values too, ? so range is ( 9) as egh is wrong your thi equation is alsowaing D : slope form two point = yo-yo not (mxebzy An ( ) : quadratic en is of firm zanizebred in verted form y= k (xtap +b . you got linear equation, () Range is values I can take which is (-00, 2) don't know what you did.. as function touches taxis, it will have real solution. as function is given arrow (it) so it extends upto infinity s so increasing in ( 00, - 1). you need to give xicoordinate devices, in (-1, 00) - 2-coordinates,30 it to decreasing for all a as you wrote in ( ) interval ( -OO , DO ) * Point of intersection, s by valued, which satisfies equations . 21 - 24 +2=3 x - 4 = 3 You can not take values of a sy at random. just manipulate them as I solved it. 5 6) you wrote value of change over gurin interal but sate of change is per unit. as 2i- 26:4 = 3 & change is 6 Date of change = 2 = 2 yous function does not satisfy the given values, The difference is slope not it will be tex= bat c. Anet : (@) you need to write the reason you got + 4 a which is and rate of change D. Avg sate of change formilla = use this formula 4,5 follow solutions., you wrote garbage