Question

The following tables show the values of linear , quadratic, and exponential functions for various values of . Indicate which function type corresponds to each table. Justify your choice. с у Y X у 6 1 1 71 56 6 1 14 9 2 9 2 28 N N 28 12 3 3 14 14 3 15 4 4 4 7 56 21 D B​

Answer 1

Explanation:

Consecutive differences in Table A are constant (9−6=12−9=15−12=3), indicating a linear function. Consecutive quotients in Table B are constant (147=2814=5628=2) indicating an exponential function. Similarly the constant quotient for Table D is 1/2. Neither consecutive differences nor quotients are constant in Table C, and its ordered pairs are related by the equation y=x2+5. So, Table A should be labeled "linear", Table B and D, "exponential", and Table C, "quadratic".