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
Answer: 2
Explanation:
The average rate of change is the net change of the function, i.e. final value less initial value, divided by the interval:
f(b) - f(a) f(1) - (f(-3)
average change rate from a to b = ---------------- = ---------------
b - a 1 - (-3)
f(1) = -(1/2) (1 + 2)² + 5 = -(1/2) (3)² + 5 = 5 - 9/2 = 1/2
f(-3) = -(1/2) ( -3 + 2)² + 5 = -(1/2) (-1)² + 5 = 5 - 1/2 = 9/2
(1/2) - (9/2)
average change rate = -------------------- = 2
1 - 3
That is the answer.
Answer:
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Step-by-step explanation: