Explanation Given information: The relations are a. { ( 0 , 8 ) , ( 1 , 4 ) , ( 1 2 , 4 ) , ( − 3 , 5 ) , ( 2 , 1 ) } b. { ( − 6 , 4 ) , ( 2 , 3 ) , ( − 9 , 6 ) , ( 2 , 1 ) , ( 0 , 10 ) } c. c ( x ) = 3 x 2 − 2 x − 1 d. d ( x ) = 5 x − 9 e. Relation is shown in graph f. Relation is shown in graph g. Relation is shown in graph h. Relation is shown The problem has the set of ordered pairs { ( 0 , 8 ) , ( 1 , 4 ) , ( 1 2 , 4 ) , ( − 3 , 5 ) , ( 2 , 1 ) } . Quadratic equation is that equation whose degree of polynomial must be equal to 2. If this quadratic equation acts as a function then this function knows as quadratic function that can be written as y = a x 2 + b x + c , where a ≠ 0 . As seen from the ordered pairs, there are no two ordered pairs have the same value of x but different values of y . Thus, the relation is a function, but the function is not a quadratic function. Since it cannot be written as y = a x 2 + b x + c . Hence, the relation is not a quadratic function. (b) The problem has the set of ordered pairs { ( − 6 , 4 ) , ( 2 , 3 ) , ( − 9 , 6 ) , ( 2 , 1 ) , ( 0 , 10 ) } . Quadratic equation is that equation whose degree of polynomial must be equal to 2. If this quadratic equation acts as a function then this function knows as quadratic function that can be written as y = a x 2 + b x + c , where a ≠ 0 . As seen from the ordered pairs, there are two ordered pairs have the same value of x . For x = 2 , there are two possible range elements such as y = 3 and y = 1 . Thus, the relation is not a function. Hence, the relation is not a quadratic function. (c) The problem has the equation c ( x ) = 3 x 2 − 2 x − 1 . Quadratic equation is that equation whose degree of polynomial must be equal to 2 . If this quadratic equation acts as a function then this function knows as quadratic function that can be written as y = a x 2 + b x + c , where a ≠ 0

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Author: Miller

Publisher: MCG CUSTOM

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Chapter 8.3, Problem 13PRE

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The relation that is a quadratic function by considering the sets of points (x,y) and the graph provided in the problem.

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Chapter 8.3, Problem 12PRE

Chapter 8.3, Problem 14PRE

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Chapter 8 Solutions

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Ch. 8.1 - Find the domain and range of the relation. { ( 0 ,...Ch. 8.1 - Prob. 2SP Ch. 8.1 - Prob. 3SP Ch. 8.1 - Prob. 4SP Ch. 8.1 - Prob. 5SP Ch. 8.1 - Prob. 6SP Ch. 8.1 - Prob. 7SP Ch. 8.1 - The linear equation, y = − 0.014 x + 64.5 , for...Ch. 8.1 - The linear equation, y = − 0.014 x + 64.5 , for...Ch. 8.1 - The linear equation, y = − 0.014 x + 64.5 , for...

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The relation that is a quadratic function by considering the sets of points ( x , y ) and the graph provided in the problem.

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The relation that is a quadratic function by considering the sets of points (x,y) and the graph provided in the problem.

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