Use the graphing calculator to graph these functions: y1= 2x ; y2= 2x2 ; y3 = 2x After what y-value does the exponential functio
1 answer:
After the value of y is 4 does the exponential function definitely surpasses the linear function.
What is exponential function?
A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.
Given
Use the graphing calculator to graph these functions: y1= 2x ; y2= 2x2 ; y3 = 2x.
As we can see y1=2x is a linear function and y3=2^x is a exponential function.
The graphs of y1 and y3 meet at 2 points i.e. at (1,2) and (2,4)
When you graph the equations their point of intersection is (2,4).
Therefore, when y > 4, the exponential function surpasses the linear function.
To know more about linear function click the link given below.
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Step-by-step explanation:
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Answer:
10.5 hours.
Step-by-step explanation:
Please consider the complete question.
Working together, two pumps can drain a certain pool in 6 hours. If it takes the older pump 14 hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?
Let t represent time taken by newer pump in hours to drain the pool on its own.
So part of pool drained by newer pump in one hour would be .
We have been given that it takes the older pump 14 hours to drain the pool by itself, so part of pool drained by older pump in one hour would be .
Part of pool drained by both pumps working together in one hour would be .
Now, we will equate the sum of part of pool emptied by both pumps with and solve for t as:
Therefore, it will take 10.5 hours for the newer pump to drain the pool on its own.