What is the minimum y-value after which the exponential function will always be greater than the linear function? y = 1 y = 2 y = 3 y = 4

Question

Ryan Mcpherson

Mathematics

10 April, 18:28

What is the minimum y-value after which the exponential function will always be greater than the linear function? y = 1 y = 2 y = 3 y = 4

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Aliana Nguyen · Answer 1

From the graph we can see that in the interval [0,1] the value of y is less than 1.

In the interval [1,2] the value of y value is 2 to 4.

In the interval [2, infinity) the graph is going up, and the value of y is greater than or equal to 4.

Therefore, the graph going up after y=4 above the line.

Therefore, the minimum y-value is 4 after which the exponential function will always be greater than the linear function.