Here are the two arguments you will be debating: Argument A: There is a need for students to understand and be able to construct
1 answer:
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Remember that the average rate of change of a function over an interval is the slope of the straight line connecting the end points of the interval. To find those slopes, we are going to use the slope formula: 
Rate of change of
:
From the graph we can infer that the end points are (0,1) and (2,4). So lets use our slope formula to find the rate of change of:
The average rate of change of the function over the interval [0,2] is 1.5
Rate of change of
:
Here the end points are (0,0) and (2,2)
The average rate of change of the function over the interval [0,2] is 1
Rate of change of
:
Here the end points are (0,-1) and (2,0)
The average rate of change of the function over the interval [0,2] is 0.5
Rate of change of
:
Here the end points are (0,0.5) and (2,2.5)
The average rate of change of the function over the interval [0,2] is 1
We can conclude that the <span>function that has the greatest rate of change over the interval [0, 2] is the function a.</span>
Rate of change of
From the graph we can infer that the end points are (0,1) and (2,4). So lets use our slope formula to find the rate of change of
The average rate of change of the function
Rate of change of
Here the end points are (0,0) and (2,2)
The average rate of change of the function
Rate of change of
Here the end points are (0,-1) and (2,0)
The average rate of change of the function
Rate of change of
Here the end points are (0,0.5) and (2,2.5)
The average rate of change of the function
We can conclude that the <span>function that has the greatest rate of change over the interval [0, 2] is the function a.</span>
The regular octagon has eight equal sides. Then the area of the regular octagon of side length be 4.6 is 102 ft².
<h3>What is a regular octagon?</h3>It is a polygon that has eight equal sides. In a regular octagon, the opposite sides are parallel. And its diagonals are also equal and intersect at mid-point.
Given
A regular octagon has a radius of 6 ft and a side length of 4.6 ft.
We know the formula for the regular octagon.
Area of the regular octagon = 2(1 + ) a²
Where a be the side of a regular octagon.
Then the area of the regular octagon will be.
Thus, the area of the regular octagon of side length be 4.6 is 102 ft².
More about the regular octagon link is given below.
→ 6x² - 2x - 20
→ 6x² + 10x - 12x - 20
→ x(6x + 10 ) - 2 (6x + 10)
→ (6x + 10) (x - 2) .
for
6x - 10 = 0
6x = 10
for x - 2
x = 2