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IgorC [24]
2 years ago
14

Use the graphing calculator to graph these functions: y1= 2x ; y2= 2x2 ; y3 = 2x After what y-value does the exponential functio

n appear to surpass the linear function?.
Mathematics
1 answer:
Mumz [18]2 years ago
3 0

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.

brainly.com/question/6714976

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<u>Step-by-step explanation:</u>

y = a(x - h)² + k <em>where "a" is the leading coefficient and (h, k) is the vertex</em>

Since we don't know "a", we need to plug in the point (x, y) and the vertex (h, k) to solve for "a":  (x, y) = (0, 9) and (h, k) = (-2, 5)

y = a(x - h)² + k

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<u>÷4 </u>   <u> ÷4   </u>

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