Plot the axis of symmetry and the point where the maximum value occurs for this function: h(x) = -(x 2)2 8.
1 answer:
See attachment for the axis of symmetry and maximum point.
<h3>What is a function?</h3>- A function from a set X to a set Y allocates exactly one element of Y to each element of X.
- The set X is known as the function's domain, while the set Y is known as the function's codomain.
- Originally, functions were the idealization of how a variable quantity depends on another quantity.
To plot the axis of symmetry:
- The given function is:
- This function is in the form:
- Where the axis of symmetry is given by, x = h.
- y comparison, we have -h=2.
- This implies h=-2
- Therefore the axis of symmetry is x = -2.
Therefore, the maximum value occurs at the vertex, given by (h,k)=(-2,8).
So, see attachment for the axis of symmetry and maximum point.
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The average rate of change of the function at the interval is -8
<h3>How to determine the average rate of change?</h3>The table that completes the question is added as an attachment
From the table, we have:
f(5) = -26
f(3) = -10
The average rate is then calculated as:
Rate = (f(5) - f(3))/(5 -3)
This gives
Rate = (-26 + 10)/(5 -3)
Evaluate
Rate = -8
Hence, the average rate of change of the function is -8
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