The average rate of change of the function over the interval [1,3] will be around 45 which is nearest an option to 42 so option (C) will be correct.
What is a graph of a function?
The link between lines and points is described by a graph, which is a diagrammatic representation of a network.
A graph consists of various points and the separation between two of them. Neither the length of the lines nor the placement of the points matters. Each component of a graph has a name, known as a node.
For example to draw the equation y = 2x +9 this will draw a straight line in the coordinate geometry.
The rate of change is given by dy/dx
The average rate of change can be given as (difference in y coordinate)/(difference in x coordinate)
Average rate of change = ( 102 - 12 )/(3 - 1 ) = 45 which is nearest to option (C) hence it will be correct.
For more details about the graph
brainly.com/question/16608196
#SPJ2
