which of the following best describes how the y - values are increasing from one interval to the next?\nby…

which of the following best describes how the y - values are increasing from one interval to the next?\nby adding 3\nby multiplying by 9\nby multiplying by 3\ndone\nwhat does 3 represent in this exponential equation?\nthe intersection with the x - axis\nthe base\nthe value of each exponent\ndone\ninput - output table for the function y = 3^x\n| x | y |\n| - 2 | 1/9 |\n| - 1 | 1/3 |\n| 0 | 1 |\n| 1 | 3 |\n| 2 | 9 |\n| 3 | 27 |\n| 4 | 81 |

which of the following best describes how the y - values are increasing from one interval to the next?\nby adding 3\nby multiplying by 9\nby multiplying by 3\ndone\nwhat does 3 represent in this exponential equation?\nthe intersection with the x - axis\nthe base\nthe value of each exponent\ndone\ninput - output table for the function y = 3^x\n| x | y |\n| - 2 | 1/9 |\n| - 1 | 1/3 |\n| 0 | 1 |\n| 1 | 3 |\n| 2 | 9 |\n| 3 | 27 |\n| 4 | 81 |

Answer

Explanation:

Step1: Analizar cómo cambian los valores de y

Tomemos dos valores consecutivos de y, por ejemplo, cuando $x = 0$, $y=1$ y cuando $x = 1$, $y = 3$. $\frac{3}{1}=3$. Cuando $x = 1$, $y = 3$ y cuando $x = 2$, $y = 9$, $\frac{9}{3}=3$. El factor de crecimiento entre valores consecutivos de y es 3.

Step2: Identificar el papel de 3 en la ecuación exponencial

La forma general de una ecuación exponencial es $y=a\cdot b^{x}$, donde $b$ es la base. En la ecuación $y = 3^{x}$, 3 es la base.

Answer:

  1. C. by multiplying by 3
  2. B. the base