If f(x) = x2 2x 3, what is the average rate of change of f(x) over the interval [-4, 6]?
1 answer:
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Both functions decrease at (-1, 2)
<h3>How to determine the decreasing intervals of the function?</h3>The complete question is added as an attachment
The polynomial function f(x) is represented by the graph.
From the graph, the polynomial function decreases at (-2, 2)
The absolute function is given as;
f(x) = =5|x + 1| + 10
The vertex of the above function is
Vertex = (-1, 10)
Because a is negative (a= -5), the vertex is a maximum.
This means that the function decreases at (-1, ∞)
So, we have
(-2, 2) and (-1, ∞)
Combine both intervals
(-1, 2)
This means that both functions decrease at (-1, 2)
See attachment 2 for the number line that represents the interval where both functions are decreasing
Read more about function intervals at:
#SPJ1
Answer:
The maximum distance to the nearest kilometer between Westford and Centerville is 111.43 km.
Step-by-step explanation:
Local train stats:
Rate = 60 km/h
Distance = x km
Time = x/60 hours
Express train stats:
Rate = 80 km/h
Distance = km
Time = hours
Now we will equate both the times.
x = 83.57 km
km
Hence, the maximum distance to the nearest kilometer between Westford and Centerville is 111.43 km.