Foundations Unit 4 Practice Test

Unit 4: Functions Practice Test What mapping diagram represents the relation shown? Type Diagram A,Diagram B, or Diagram C. Diagram A {(7,14), (14,28), (21,42), (28,52), (35,52)} Diagram B Diagram C Use the following vocabulary words to fill in the blanks on the next slide. Ordered PairsCoordinatesRelationFunctionLinear FunctionsNonlinear FunctionsVertical Line Test Input Output Any set of ordered pairs is called a(n) _______________. You can use the _____________ to determine if a graph represents a function. ____________ do not have a constant rate of change. The ____________ values are the x coordinates. A(n) _____________ is a rule for taking each input value and producing exactly one output value. Complete the table. Is the table linear or nonlinear? -1 x y = x ^{3} - 30 1 2 y Linear or nonlinear? The cost increases $0.30 each time 1 goldfish is added. The cost increases $1.50 each time 1 goldfish is added. The cost increases $3.00 each time 5 goldfish are added. The table below shows the cost of different numbers of goldfish at a pet store. The cost is a linear function of the number of goldfish. Which statement describes the rate of change of this function? Which table represents a relationship that is NOT a function?The four tables below show the relationships between inputs and their corresponding outputs. Q R S T Do the following graphs represent a function (type yes or no)? No, because the rate of change is 5. Yes, because the rate of change is 5. No, because the rate of change is not constant. Yes, because the rate of change is not constant. Determine whether the relation defined by the table represents a linear function. Interval (b) is a _________interval. Interval (c) is a __________interval. Interval (a) is a __________interval. Interval (d) is a __________interval. A student is completing a homework assignment. Each minute the student records the number of problems left to complete. The table shows the data. What is the rate of chnage of this linear function? The rate of change is ______________. Aaron left the theatre, drove toward his workplace, got gas, and then continued driving to his workplace. Let g be the amount of gas(in gallons) in the gas tank at t minutes after he left the theatre. Which graph represents this situation? Graph A Graph B Graph C An airplane is coming down from the sky. It reaches a height and stays at that height for a certain period of time. Finally the airplane goes higher into the sky. An airplane is going up the whole time. An airplane is going up in the air. It reaches its necessary height and stays at that height for a period of time. Finally the airplane is coming down to the ground. Which of the following is a good description of the given graph? An airplane is flying at the same height the whole time. Write a rule for the table below. y = -2x + 3 y = -3x + 3 y = -3x y = 2x - 3 None, both Table 1 and 2 have coordinate points that do not lie on the line of the equation because the table gives points of nonlinear equations. Both tables work for the equation because when substituting coordinates the equation is true. Table 2 because when finding the slope between (2,8) and (-4, -10) , m=3. Then substituting (2,8) for x and y, b=2. Identify which table represents the equation, y = 3x + 2, and is supported with the reasoning given. Table 1 because when substituting in (-1,-1) for x and y and then solved , it worked with -1 = -1. |

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