If you vertically stretch the linear parent function f(x)=x, by a factor of 2, what is the equation of the new function?
1 answer:
Answer:
y=2x
Step-by-step explanation:
The condition about stretching is that when the stretch factor is greater than 1, the function will be closer to OY axis; when the stretch factor is between 0 and 1, the function will be closer to OX axis.
We can observe this end result in the attached graphs.
The red line represent the original function and the blue line is y=2x
As we can observe that the condition still holds.
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The average rate of change, of the function, between the intervals, x = 2 to x = 6 is: 180.
<h3>What is the Average Rate of Change of a Function?</h3>Average rate of change = .
Given the function, ,
The average rate of change using the intervals of, x = 2 to x = 6 would be solved as shown below:
a = 2
b = 6
f(a) = = 34
f(b) = = 754
Average rate of change =
Average rate of change = 180
Therefore, the average rate of change, of the function, between the intervals, x = 2 to x = 6 is: 180.
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