Question

Priya is comparing two functions: f(x)= 25x^(2) and g(x) =3*3^(x) to find out which has greater output values as x gets very large

it has a input table using inputs from 0 to 5 and then on top it says f(x) and g(x) and you have to find the outputs with that

Answer 1

Explanation:

Sure, here is the input table for f(x) and g(x) using inputs from 0 to 5:

| Input (x) | f(x) = 25x^(2) | g(x) = 3*3^(x) |

|-----------|----------------|----------------|

| 0 | 0 | 3 |

| 1 | 25 | 9 |

| 2 | 100 | 27 |

| 3 | 225 | 81 |

| 4 | 400 | 243 |

| 5 | 625 | 729 |

As x gets very large, g(x) will have greater output values than f(x). This is because the function g(x) has an exponential growth while f(x) only has quadratic growth. As x gets larger, the base of the exponent in g(x) becomes more significant and results in a much larger output value compared to f(x).