Circle groups to show 4x(2x2).
2 answers:
Answer:
To represent this operation as circles, we first graph what's in the parenthesis, which represents two circles with two circles each, that will give us the blur circle with 4 elements.
Then, each blue circle must be reproduced for times, because the expression 2x2 is multiplied by 4, giving as a result 16 circles in total. 4 groups containing 2 groups of 2 circles each.
<em>The image is attached, it shows the graphic result.</em>
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The interpretation of the function is that the difference y between the car's actual speed x and the displayed speed is 8
<h3>How to describe the translation. </h3>The function is given as:
y = |x - 8|
The above function is an absolute function.
And the parent function of an absolute function is
y = |x|
When a function is translated right by h units, the new function is y = |x - h|
This means that the translation is a translation to the right by 8 units
See attachment for the graph the function.
<h3>Interpret the function and the translation in terms of the context of the situation.</h3>The function is given as:
y = |x - 8|
This represents the difference y between the car's actual speed x and the displayed speed.
So, the interpretation of the function is that the difference y between the car's actual speed x and the displayed speed is 8
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The average rate of change of the function over −2 ≤ x ≤ 2 is 1/2
<h3>How to determine the average rate of change?</h3>The function is given as:
The interval is given as:
−2 ≤ x ≤ 2
Calculate h(2) and h(-2)
h(2) = -3
h(-2) = -5
The average rate of change is then calculated as:
This gives
Evaluate
m = 1/2
Hence, the average rate of change of the function over −2 ≤ x ≤ 2 is 1/2
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<u>Complete question</u>
What is the average rate of change of h over the interval −2 ≤ x ≤ 2