 # Jeopardy Identifying Functions Characteristics Linear Functions Linear Equations

• Slides: 53 Jeopardy Identifying Functions Characteristics Linear Functions Linear Equations Non-Linear Functions Q \$100 Q \$100 Q \$200 Q \$200 Q \$300 Q \$300 Q \$400 Q \$400 Q \$500 Q \$500 Final Jeopardy \$100 Question from Identifying Functions Which of the following relations is a function? I. {(0, 0), (0, 1), (0, 2)} II. {(0, 0), (1, 1), (2, 4)} III. {(0, 0), (1, 2), (2, 2)} IV. {(0, 0), (1, 2), (1, 3)} \$100 Answer from Identifying Functions II and III \$200 Question from Identifying Functions A video club costs \$25 to join. Each video that is rented costs \$2. 50. Let v represent the number of videos. Identify the independent and dependent variables. Then, write an equation, in function notation, for the situation. \$200 Answer from Identifying Functions Independent: videos rented Dependent: total cost f(v) = 2. 5 v + 25 \$300 Question from Identifying Functions The temperature of air in a room is 55˚F. The thermostat is adjusted so that the temperature increases by 8˚F per hour. Write a function that describes the temperature of the air over time. Create a table of values to show the temperature change over the first several hours. \$300 Answer from Identifying Functions y = 8 x + 55 Time (Hours) 1 3 5 7 9 11 Temp (˚F) 63 79 95 111 127 146 \$400 Question from Identifying Functions The line graph represents the price of a type of personal computer over a five-year period. Why the graph is misleading? What might someone believe because of the graph? \$400 Answer from Identifying Functions The graph is misleading because the intervals on the vertical axis are not equal. Someone might believe that the price declined quickly from 2002 to 2004, then more slowly. In fact, the price declined \$200 each year. • Graph -2 x + 4 y = 4 for the domain D: {-8, -4, 0, 4, 8} \$500 Question from Identifying Functions Graph -2 x + 4 y = 4 for the domain D: {-8, -4, 0, 4, 8}  \$100 Question from Function Characteristics What is the domain of the function graphed at the right? \$100 Answer from Function Characteristics 0 < x ≤ 5 \$200 - Function Characteristics The relationship between the weight of an object on the Moon and on Earth is given by the function y = 6 x where x is the weight of the object on the Moon and y is the weight of an object on Earth. Determine the domain and range of this function. A. D: {x ≥ 0}; R: {y ≥ 6} B. D: {x ≥ 0}; R: {y ≥ 0} C. D: {x ≥ 6}; R: {y ≥ 0} D. D: {x ≤ 0}; R: {y ≤ 6} \$200 - Function Characteristics B. D: {x ≥ 0}; R: {y ≥ 0} \$300 - Function Characteristics The scatterplot below shows the relationship between the volume of water sealed in a boiler and the temperature of the steam generated. Select the statements that are supported by this data. I. As the volume of water is decreased, the temperature inside the boiler increases II. Temperature and volume have a positive correlation III. Temperature and volume have a negative correlation IV. As the volume of water is increased, the temperature inside the boiler decreases \$300 - Function Characteristics I, III, and IV \$400 - Function Characteristics Which expression is equivalent to 24 y 3 x 4? A. 12 x 2 y 2(2 y 2 x) B. 6 xy(4 x 2 y 2) C. 2 xy(4 y 2)(3 x 3) D. 2 xy(2 y 2)(6 x 2) \$400 Answer from Function Characteristics C \$500 -Function Characteristics The table below shows the value of a term in a given position in a number sequence. If the sequence follows a pattern, which expression best represents the value of the nth term? \$500 - Function Characteristics C. \$100 - Linear Functions The line segment on the graph below shows the altitude of a landing plane from the time its wheels are lowered to the time its wheels touch the ground. Which of the following best describes the slope of the line segment? A. The plane descends 1 foot per 8 seconds B. The plane descends about 8 feet per second C. The plane descends 1 foot per 2 seconds D. The plane descends about 2 feet per second. \$100 - Linear Functions A. The plane descends about 8 feet per second \$200 - Linear Functions The equation of a line is given by 6 x + 3 y = 6. What must happen to the slope and y-intercept if the equation of the line is transformed to 3 y – 4 x = -6? A. The slope is unchanged and the y-intercept is divided by 3. B. The slope is multiplied by - 2/3, and the y-intercept is unchanged. C. The slope is unchanged and the y-intercept is shifted down 4 units. D. The slope is multiplied by - 2/3, and the y-intercept is shifted down 4 units. \$200 Answer from Linear Functions D \$300 - Linear Functions Graph and write a linear equation that includes the points (2, -1) and (-1, -4). \$300 - Linear Functions y = x – 3 \$400 - Linear Functions Determine the zero of the linear function shown in the table below: x f(x) -2 10 1 4 4 -2 \$400 - Linear Functions The zero is 3. f(3) = 0. \$500 - Linear Functions To build the perfect scale model of the SR-71 Blackbird Jet, it is best to use the ratio of 3: 4 to compare inches of the model to feet of the plane. Which equation shows this ratio, if p is the length of the plane in feet and m is inches of the model. A. 12 p = m B. 12 m = p \$500 - Linear Functions C \$100 - Linear Equations Which ordered pair is not a solution to the linear inequality -3 x + 2 y > -6? A. B. C. D. (0, -2) (0, 2) (2, 0) (0, 0) \$100 Answer from Linear Equations C \$200 - Linear Equations Which inequality best corresponds to the graph? A. x + y ≥ 3. 5 B. x - y ≥ -3. 5 C. x + y ≤ 3. 5 D. x - y ≤ 3. 5 \$200 Answer - Linear Equations B. x - y ≥ -3. 5 \$300 - Linear Equations The sum of the perimeters of two different squares is 32 centimeters, and the difference between their perimeters is 8 centimeters. If x represents the side length of the larger square and y represents the side length of the smaller square, which of the following systems of equations could be used to find the dimensions of the squares? A. x + y =32 x − y = 8 B. 4 x + 4 y = 32 4 x − 4 y = 8 C. 2 x + 2 y = 32 2 y − 2 x = 8 D. 4 x + 2 y = 32 4 x − 2 y = 8 \$300 - Linear Equations B. 4 x + 4 y = 32 4 x − 4 y = 8 \$400 - Linear Equations \$400 - Linear Equations (-4, -6) \$500 - Linear Equations Some values for two linear equations are shown in the tables below. x y 2 5 5 11 -4 -7 -3 -13 5 11 0 -4 -1 1 1 -1 What is the solution to the system of equations represented by these tables? \$500 - Linear Equations (5, 11) \$100 - Non-Linear Functions Which of the following tables is an inverse variation? A. B. C. D. x y x y 3 3 -12 24 2 2 8 4 9 1 1 -2 4 4 6 6 18 . 5 8 -16 8 8 4 8 \$100 - Non-Linear Functions A. x y 3 3 9 1 18 . 5 \$200 - Non-Linear Functions x f(x) = Which of these is a reasonable equation for the graph? A. f(x) = 0. 5 x B. f(x) = 0. 5 x 2 C. f(x) = 2 x 2 + 2 D. f(x) = 2 x + 5 \$200 - Non-Linear Functions B. f(x) = 0. 5 x 2 \$300 - Non-Linear Functions Which of the following tables represents exponential data? A. B. C. D. x -2 y 5 x 2 y 0. 5 x -2 y 12 x -2 y 8 -1 4 4 0. 7 -1 15 -1 4 0 3 4 1. 5 0 16 0 2 1 2 8 5 1 1 \$300 - Non-Linear Functions D. x -2 y 8 -1 4 0 2 1 1 \$400 -Non-Linear Functions Listed below are several statements about the solutions of this equation: x 2 + 4 x – 12 = 0. Which of the following statements is not true? A. The solutions to the equation are -6 or 2. B. The y-intercept is the solution to the equation. C. The graph of y = x 2 + 4 x – 12 has two x-intercepts. D. The graph of y = x 2 + 4 x – 12 has one y-intercepts. \$400 – Non-Linear Functions B. The y-intercept is the solution to the equation. \$500 - Non-Linear Functions What are the domain and range for the function f(x) = -x 2 -1? \$500 - Non-Linear Functions D: all real numbers R: y ≤ -1 Final Jeopardy 