Tyler says that the function f(x)=5^x is exponential and so it grows by equal factors over equal intervals. He says that factor must be 10root of 5 for an interval of 1/10 because ten of those intervals makes an interval of length 1. Do you agree with Tyler? Explain your reasoning.

Tyler is right. I agree with him

Step-by-step explanation:

Exponential Function

The given exponential function is

Tyler says it grows by equal factors over equal intervals which is true. We'll show why below.

If x grows by 1 unit, the growth of the function will be

Note that the function grew by a factor of 5, as Tyler said. But what happens if x grows by 1/10?

Note that the factor for this increment of x is

We can see that Tyler is absolutely right

"if it is my birthday, then it is snowing"

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: