The graph of a function f is shown. Use the graph to estimate the average rate of change from x = –2 to x = 0
1 answer:
Answer:
Average rate of change = 2
Step-by-step explanation:
Formula to get the rate of change of a function between x = b and x = a is,
Rate of change =
We have to calculate the average rate of change between x = -2 and x = 0
From the graph attached,
At x = -2,
f(-2) = 0
At x = 0,
f(0) = 4
Therefore, average rate of change =
=
= 2
Average rate of change of the given function between x = -2 and x = 0 is 2.
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Step-by-step explanation:
The translations of the typical functions are
Where a is the vertical translation,
If a is greater than 1 or less than -1, we have a vertical stretch
If a is between -1 and 1 , we have a vertical compressions or shrink.
If a is negative, we have a negative reflection across the x axis.
If b is greater than 1 or less than -1, we have a horizontal compression or shrink
If b is between -1 and 1, we have a horizontal stretch
If b is negative, we have a reflection about the y axis,
If c is negative, we have a translation to the right c units
If c is positive, we have a translation to the left c units
If d is positive, we have a translation upward d units
If d is negative, we have a translation downward d units.
Here in this problem, our parent function is x^3.
So I would do the following transformations.
- Reflect about the x axis
- Vertical Shrink by a factor of 1/2
- Horizontal Shrink by a factor of 3
- Shift to the left 4 units
- Shift downward 8 units.
Answer:
Following are the complete solution in the attached file.
Step-by-step explanation:
