Which is the correct answer?

The table below shows the linear function f.

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Determine the average rate of change of the given function over an interval [-5, -2].

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1 Answer
Jim G. · KillerBunny
Jun 22, 2018

#-3#

Explanation:

#"the average rate of change of "f(x)" over an interval"#
#"between 2 points "(a,f(a))" and "(b,f(b))" is the"#
#"slope of the secant line joining the 2 points"#

#(f(b)-f(a))/(b-a)#

#"here the interval "[a,b]" is "[-5,-2]#

#(a,f(a))=(-5,19)" and "(b,f(b))=(-2,10)#

#"average rate of change "=(10-19)/(-2-(-5)#

#color(white)(xxxxxxxxxxxxxxxx)=(-9)/3=-3#

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