Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
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The average rate of change of the function from x = 0 to x = 2 is -2
From the complete question (see attachment), we have the following ordered pair when x = 0 and x = 2
The average rate of change is calculated using:
So, we have:
Evaluate common terms
Divide -4 by 2
Hence, the average rate of change of the function from x = 0 to x = 2 is -2
Read more about rate of change at:
Answer:
slope = 2
Step-by-step explanation:
Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:
(-2, -1) and (0, 3)
Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a <em>rise</em> of 4. The x went from -2 to 0, so that is a <em>run</em> of 2. "rise over run" means rise literally over run in a fraction like this:
The more proper way to calculate slope looks like this, but it's really the same thing in the end:
where (x1, y1) and (x2, y2) are your 2 points.
Finally, the slope of this line is:
That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.